A 2,900-kg truck runs into the rear of a 1,000-kg car that was stationary. The truck and car are locked together after the collision and move with speed 8 m/s. Compute how much kinetic energy was "lost" in this inelastic collision.

Answers

Answer 1

A 1,000-kg automobile that was stopped Collision with a 9,100-kg truck's back. Following the incident, the truck the car are stuck together and moving at a speed of 8 m/s.

How improbable is a collision on reality?

In the real world, energy changes almost always occur, making this highly implausible. In the actual world, collisions typically take this form. Flying balls or a spaceship passing close to a planet without being impacted by its gravity are two examples of this.

What distinguishes a collision from an impact?

Impact can refer to a collision between two objects, at least half of which is being pushed in the direction of the other. Collision refers to the coming contact of more than one thing with enough force that either all of them sustain damage or that their movement is significantly slowed.

To know more about Collision visit:

https://brainly.com/question/30636941

#SPJ1


Related Questions

please help me in this question is physics​

Answers

a) Yes, the girl has kinetic energy with respect to the escalator since she is moving relative to it.

b) Yes, the kinetic energy of the girl depends on the chosen reference frame. If we consider the reference frame of the man who is stationary on the ground, then the girl has kinetic energy with respect to him as well.

How to explain the energy

However, if we choose a reference frame that is moving at the same velocity as the escalator, then the girl appears to be at rest and does not have any kinetic energy with respect to that reference frame.

It's important to note that the amount of kinetic energy the girl has will be different in each reference frame, but the total amount of energy she has (kinetic energy + potential energy) will be the same in all reference frames, as long as we ignore any energy losses due to friction. This is because energy is conserved, and it can only be transferred between different forms, but not created or destroyed.

Learn more about energy on;

https://brainly.com/question/2003548

#SPJ1

According to this graph, the acceleration
is approximately:
A. 12 m/s²
C. 4 m/s²
Velocity (m/s)
14
12
10
12 2 3 4
Time t (s)
B. 1.5 m/s2
D. 3 m/s2

Help please

Answers

Answer:

Explanation:

Because you have velocity along the y axis and time along the x axis, this is a velocity v time graph which is an acceleration graph. The slope of the line in this graph IS the acceleration. We can use 2 points and the slope formula to solve for the acceleration:

(0, 0) and (1, 3):

[tex]m=\frac{3-0}{1-0}=3[/tex] m/s squared, choice D.

If the sun were more massive, what would happen to Earth’s gravity with the sun?
A. decrease
B. would be infinite
C. would be 0
D. increase

Answers

Answer: d. increase

Explanation:

If the sun were more massive, the gravitational force between the sun and Earth would increase. This means that Earth's gravity with the sun would also increase. Therefore, the correct answer is (D) increase.

The gravitational force between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. So, if the mass of one of the objects increases, the gravitational force between them will also increase. In this case, if the mass of the sun were to increase, the gravitational force between the sun and Earth would become stronger, and hence, Earth's gravity with the sun would also increase.

The average compensation for demale tennis players in $283,635, but the median compensation is much lower at around $76,000. Why are these numbers so different?

Answers

The difference in these numbers is likely due to the fact that there are a few very highly paid female tennis players who skew the average upwards.

What is average?

Average is a term used to describe a value that is representative of a set of data. It is calculated by adding up all the values in a set and dividing by the number of values in the set. Average can be used to describe the mean, median, or mode of a set of data. It is often used to average out the highs and lows in a set of data, to give an overall picture of the data set. Average can also be used to compare different sets of data to each other.

The median, however, only takes into account the middle value of the data set, so it doesn't take into account outliers like the highly paid female tennis players. This is why the median is usually considered a better measure of central tendency than the average.

To learn more about average
https://brainly.com/question/24445340
#SPJ1

A ball thrown straight upward returns to its original level in 2.75 seconds. A second ball is thrown at an angle of 40 degrees above the horizontal. What is the initial speed ball if it also returns to its original level in 2.75 seconds?

Answers

The initial speed (magnitude of velocity) of the second ball thrown at an angle of 40 degrees above the horizontal is approximately 12.93 m/s.

What is the initial speed ball?

Let's consider the motion of the second ball thrown at an angle of 40 degrees above the horizontal. We can break down its motion into horizontal and vertical components.

Given:

Time taken for the ball to return to its original level (time of flight): t = 2.75 seconds

Angle of projection (above the horizontal): θ = 40 degrees

We can use the following equations of motion to find the initial speed (magnitude of velocity) of the ball:

Horizontal motion:

The horizontal velocity of the ball remains constant throughout the motion, and can be given as:

vx = v0 * cos(θ), where v0 is the initial speed.

Vertical motion:

The vertical velocity of the ball changes due to the force of gravity. We can use the following equation:

vy = v0 * sin(θ) - g * t,

where;

g is the acceleration due to gravity

Since the ball returns to its original level, the vertical displacement (change in height) is zero:

Δy = 0

We can use the following equation to relate the initial speed, time of flight, and angle of projection:

Δy = v0 * sin(θ) * t - (1/2) * g * t^2 = 0

Plugging in the values and solving for v0:

0 = v0 * sin(40) * 2.75 - (1/2) * 9.8 * (2.75)^2

v0 * sin(40) * 2.75 = (1/2) * 9.8 * (2.75)^2

v0 = (1/2) * 9.8 * (2.75)^2 / (sin(40) * 2.75)

v0 = 12.93 m/s (rounded to two decimal places)

Learn more about initial velocity here: https://brainly.com/question/19365526

#SPJ1

A ball is traveling at a constant speed of 4 m/s in a circle with a radius of 0.8 m. What is the centripetal acceleration of the ball?

Answers

According to the question the centripetal acceleration of the ball is 20 m/s².

What is centripetal acceleration?

Centripetal acceleration is the acceleration that a body experiences when it is moving in a curved path. It is always directed towards the center of the curve, and its magnitude is equal to the square of the body's velocity divided by the radius of the curve. It is also known as the radial acceleration, since it is directed along the radius of the curve.

The centripetal acceleration of an object in a circular path is given by the equation:

[tex]a_c[/tex] = v²/r
where a_c is the centripetal acceleration, v is the speed of the object, and r is the radius of the circular path.
In this case, the speed of the ball is 4 m/s, and the radius of the circular path is 0.8 m. Plugging these values into the equation, we get:

[tex]a_c[/tex] = 4²/0.8 = 16/0.8 = 20 m/s²
Therefore, the centripetal acceleration of the ball is 20 m/s².

To learn more about centripetal acceleration
https://brainly.com/question/22103069
#SPJ1

A 0.80kg block of carbon (solid) is dropped into 1.4kg of water. If the carbon starts at -20C, the water starts at 92C, and they have equal final temperatures, what is the final temperature of the system?

Answers

The system's final temperature is roughly 16.7°C.

What is a system's final temperature?

You may determine your substance's final heat by multiplying the temperature change by the initial temperature. Your water's final temperature would be 24 + 6, or 30 degrees Celsius, for instance, if it started off at 24 degrees Celsius.

The following is the formula for energy conservation:

Q1 + Q2 = 0

Q = mcΔT

Q1 + Q2 = 0

568.8

Simplifying and solving for

6394.4 - 106768 = 0

= 16.7°C

To know more about temperature visit:-

https://brainly.com/question/4160783

#SPJ1

Before you begin your lab, write a hypothesis that reflects how you think temperature of the water will affect the
reaction rates. Record your hypothesis as an "if, then" statement.

Answers

If the thermal parameters of the reacting chemical milieu are progressively enhanced to values approaching the uppermost feasible threshold limits, then the kinetic molecular energies of the constituent particles subsisting within that milieu will inevitably become extraordinarily amplified to magnitudes of near infinite proportions. This will ineluctably engender an unimaginably magnified probability of ultra-successful reactive collisions and bonding formations between reactants, thereby precipitously accelerating reaction progression and product synthesis at an utterly bewildering, dizzyingly exponential rate with concomitant incalculably diminished activation energy requirements for said reactions to proceed at light speed.

Reaction rates will be catapulted to vertiginous extremes, minimum activation energies will plummet to subatomic zero-point energy values and reaction times will approach Planck timescales as a result of the incomprehensibly intense intensification of molecular motion within the system due to red-hot proximate approach of the temperature parameter to unimaginably maximally feasible values on the order of the Planck temperature. At such energetic scales, the very concepts of chemical reactions and activation energies themselves would become somewhat facetious and inapposite. Atomic and subatomic forces would so predominate as to render chemical bonds utterly trivial and transient. The system would essentially comprise frenetic elementary particles reacting within an amalgam of radiation and plasma.

an election of mass 9.1 × 10^31kg moves with a velocity of 4.2 × 10^7mJs between the cathode and anode of an X-ray tube. Calculate the wavelength.( take Planck's constant, h= 6.6 × 10^ 34 J's)​

Answers

The wavelength of the electron is 1.724 × 10^-12 m.

How do we calculate?

The wavelength of the electron is found  using the de Broglie wavelength formula:

λ = h / p

where λ = wavelength,

h= Planck's constant, a

p =  momentum of the electron.

we find  the momentum of the electron,

p = m * v

p = (9.1 × 10^-31 kg) * (4.2 × 10^7 m/s)

p = 3.822 × 10^-22 kg m/s

Therefore, wavelength ;

λ = h / p

λ = (6.6 × 10^-34 J s) / (3.822 × 10^-22 kg m/s)

λ = 1.724 × 10^-12 m

Learn more about wavelength at: https://brainly.com/question/10728818

#SPJ1

Harmonic Motion Basics

10. Calculate the period of a pendulum that has a length of 68 cm.​

Answers

The period of the pendulum with a length of 68 cm is 1.65 seconds.

What is period of the pendulum?

The period of a pendulum is the time taken for one complete back-and-forth swing or oscillation. It is the time taken for the pendulum to move from its highest point (the point of maximum displacement) to its lowest point and back again to the highest point. The period of a pendulum depends on its length and the acceleration due to gravity.

The period of a pendulum can be calculated using the formula:

T = 2π√(L/g)

where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity (approximately 9.81 m/s²).

Converting the length of the pendulum to meters:

L = 68 cm = 0.68 m

Substituting the values into the formula:

T = 2π√(0.68 m / 9.81 m/s²)

Simplifying:

T = 2π√(0.0694 s²)

Calculating the square root:

T = 2π x 0.263 s

Simplifying:

T = 1.65 s

Therefore, the period of the pendulum with a length of 68 cm is 1.65 seconds.

What is an acceleration of the pendulum?

An acceleration of a pendulum refers to the rate at which its velocity changes as it swings back and forth. The acceleration of a pendulum is not constant but rather varies as the pendulum swings, with the greatest acceleration occurring at the endpoints of its swing, where it changes direction.The acceleration of a pendulum is directly proportional to the displacement of the pendulum from its equilibrium position.

To know more about pendulum, visit:

https://brainly.com/question/29596867

#SPJ9

Complete question is: The period of the pendulum with a length of 68 cm is 1.65 seconds.

On the water surface, there are two sources of oscillating waves of the same phase located at A and B, emitting two coherent waves of wavelength λ. Let Δ be the line perpendicular to AB at B. On Δ there are 16 interference maxima, the distance between the two closest and farthest interference maxima is 2.71 cm and 229.55 cm, respectively. . Which of the following is the length of line segment AB closest to?

Answers

Two or greater sources are said to be coherent if they emit waves that have the identical wavelength (or frequency) and amplitude and which maintain a steady phase difference.

Do two coherent sources have equal wavelength?

If two sources have the identical wavelength, frequency, and segment difference, they are said to be coherent. Therefore, we can conclude that coherent sources have the identical wavelength.

Two microwave coherent factor sources emitting waves of wavelenths λare positioned at 5λdistance apart. The interference is being observed on a flat non-reflecting surface alongside a line passing through on sources ,in a course perpendicular to the line joining the two sources

Learn more about coherent waves here:

https://brainly.com/question/12495315#SPJ1

30 POINTS!!!! NO CHATGPT OR ANY BOTS_


As you sit in a fishing boat, you notice that 12 waves pass the boat every 45 s
. If the distance from one crest to the next is 9.0 m
, what is the speed of these waves?
Express your answer to two significant figures and include the appropriate units.

Answers

The speed of the waves can be expressed to two significant figures as 0.2 m/s. The unit for this expression is meters per second (m/s).

What is wave crest?

A wave crest is the highest point of a wave. It is the top of the wave, where the wave is moving most up and away from the equilibrium position. It is the point of highest amplitude (height) of the wave and is followed by a wave trough, which is the lowest point of the wave.

The speed of the waves can be calculated using the formula speed = distance over time.

We know the distance between wave crests is 9.0 m and the time it takes for 12 waves to pass the boat is 45 s. Therefore, the speed of the waves can be calculated as:

Speed = 9.0 m / 45 s

Speed = 0.2 m/s

The speed of the waves can be expressed to two significant figures as 0.2 m/s. The unit for this expression is meters per second (m/s).

This calculation shows that the speed of the waves passing the boat is 0.2 m/s. This speed can be further broken down into how many meters the waves travel in one second if necessary.

For more questions related to speed

https://brainly.com/question/13943409

#SPJ1

How can you determine the number of neutrons in an atom?

A. Mass number plus number of electrons
B. Atomic number minus mass number
C. Mass number minus atomic number
D. Atomic number plus mass number

Answers

Answer:

B. Atomic number minus mass number

Explanation:

A rock climber stands on top of a 59 m -high cliff overhanging a pool of water. He throws two stones vertically downward 1.0 s apart and observes that they cause a single splash. The initial speed of the first stone was 1.7 m/s . Include value and units.
a) How long after the release of the first stone does the second stone hit the water?
b) What was the initial speed of the second stone?
c) What is the speed of the first stone as it hits the water?
d) What is the speed of the second stone as it hits the water?

Answers

a) The time after the release of the first stone that the second stone hits the water is 2.0 s.

b) 15.7 m/s is the initial speed of the second stone.

c)  The speed of the first stone as it hits the water is 15.7 m/s.

d) The speed of the second stone as it hits the water is 28.2 m/s.

What is velocity?

Velocity is a vector quantity that measures both the speed and direction of an object's motion. It is equal to the rate of change of an object's position with respect to time. Velocity is usually represented by the symbol v and is measured in meters per second (m/s).

a) The time between first and second stone's release is 1.0 s. Since the time of release of first stone and the time of splash of both stones are same, the time between the release of second stone and the splash of both stones is 1.0 s.

Thus, the time after the release of the first stone that the second stone hits the water is 2.0 s.

b) The initial speed of the second stone can be calculated using the equation of motion,

v² = u² + 2as

where v is the final velocity, u is the initial velocity, a is the acceleration due to gravity (9.8 m/s²), and s is the displacement.

Substituting the values,

v² = (1.7)² + 2(9.8) * 59

v = 15.7 m/s

c) The speed of the first stone as it hits the water can be calculated using the equation of motion,

v² = u² + 2as

where v is the final velocity, u is the initial velocity, a is the acceleration due to gravity (9.8 m/s²), and s is the displacement.

Substituting the values,

v² = (1.7)² + 2(9.8) * 59

v = 15.7 m/s

d) The speed of the second stone as it hits the water can be calculated using the equation of motion,

v² = u² + 2as

where v is the final velocity, u is the initial velocity, a is the acceleration due to gravity (9.8 m/s²), and s is the displacement.

Substituting the values,

v² = (15.7)² + 2(9.8) * 59

v = 28.2 m/s

For more questions related to initial speed

https://brainly.com/question/24493758

#SPJ1

For number 6 I really can't figure out the answer does anyone know ?

Answers

The factor that leads to loess deposit is when the wind carries fine sediment. That is option C.

What are loess deposits?

The loess deposits are those deposits that are usually found at the edge of deserts.

The major factor that causes the formation of loess is the wind because they are entrained, transported, and deposited by the wind.

The fine particles carried by wind contains find grained sediments, organic particles that are capable of forming loess.

Learn more about wind here:

https://brainly.com/question/29801913

#SPJ1

Water flows through a pipe of
radius 0.0250 m at 1.50 m/s.
What is the Volume Flow Rate?
(Keep 3 sig figs.)

I need help please

Answers

The volume flow rate of water through the pipe is approximately 0.00295 cubic meters per second.

What is the volume flow rate?

The volume flow rate of water through a pipe can be calculated using the formula:

Volume flow rate = Area of the pipe × Velocity of water

The area of the pipe can be calculated using the formula for the area of a circle:

Area of circle = π × (radius)^2

Plugging in the given values:

Radius (r) = 0.0250 m

Velocity (v) = 1.50 m/s

Area of circle = π × (0.0250 m)^2 = 0.001963495 m^2 (rounded to 9 decimal places)

Now, we can use the calculated area and the given velocity to calculate the volume flow rate:

Volume flow rate = Area × Velocity = 0.001963495 m^2 × 1.50 m/s = 0.002945243 m^3/s (rounded to 9 decimal places)

Rounding to 3 sig figs. we get:

0.00295 m^3/s

Laern more about flow rate at:

https://brainly.com/question/23855727

#SPJ1

a 1200 kg car is traveling at 25 m/s into the rear of a stopped truck that has a mass of 2500 kg and they stick together. what is the speed of the cars after the collision ?

Answers

The speed of the car and truck after the collision is approximately 8.11 m/s.

What is Mass?

Mass is a measure of the amount of matter in an object. It is a scalar quantity that reflects the resistance of an object to acceleration when a force is applied to it. Mass is typically measured in units such as kilograms (kg) or grams (g) in the metric system, or pounds (lb) or ounces (oz) in the customary system.

Total momentum before collision = Total momentum after collision

(Momentum of car before collision + Momentum of truck before collision) = Total mass of car and truck × Common velocity after collision

Plugging in the given values for the masses and velocities:

(1200 kg × 25 m/s + 2500 kg × 0 m/s) = (1200 kg + 2500 kg) × V

Solving for V:

V = (1200 kg × 25 m/s) / (1200 kg + 2500 kg)

V = 30000 kg·m/s / 3700 kg

V ≈ 8.11 m/s (rounded to two decimal places)

Learn more about Mass from the given link

https://brainly.com/question/86444

#SPJ1

explain HOW heat conduction works if you pour a hot cup of hot chocolate into a cold cup. What happens to the cup and HOW does it happen?

Answers

With time, the hot chocolate's thermal energy will permeate into the atmosphere, causing the cup to chill.

How does the heat energy from a cup of hot chocolate get to you?

Conduction, which transfers heat through direct touch, transports heat from the hot chocolate to the mug. As the molecules of the hot chocolate clash with those of the mug, energy is transferred to both of them as well as to the surrounding air.

How is the spoon made heated by the heat from a cup of hot chocolate?

Conduction into the metal spoon will speed up the transfer of heat from the cocoa. The heat will be dispersed throughout the spoon's body because it is a thermal conductor.

To know more about energy visit:-

https://brainly.com/question/1932868

#SPJ1

50 examples of Scaler quantities​

Answers

Answer:

Explanation: Mass of an object

Distance traveled

Temperature in Celsius or Fahrenheit

Time elapsed

Area of a square or rectangle

Volume of a container

Energy consumed

Speed of a moving object

Amount of money

Density of a substance

Electric charge

Length of a rod or wire

Amount of substance (moles)

Angle of rotation

Electric potential (voltage)

Pressure of a gas or fluid

Frequency of a wave

Conductivity of a material

Viscosity of a fluid

Radioactivity

Magnetic field strength

Refractive index of a medium

Gravitational force

Work done

Power of an electrical device

Resistivity of a material

Specific heat capacity of a substance

Modulus of elasticity

Torque or moment of force

pH of a solution

Electrostatic charge

Atomic or molecular weight

Charge of an electron or proton

Electrical resistance

Illuminance or brightness

Concentration of a solute in a solution

Efficiency of a machine

Absorbance or transmittance of light

Electrochemical potential

Activity of a radioactive sample

Ratio of two lengths

Ratio of two areas

Ratio of two volumes

Ratio of two speeds

Ratio of two masses

Ratio of two times

Ratio of two temperatures

Ratio of two pressures

Ratio of two concentrations

Ratio of two densities

An object has temperature of 2310° C. Calculate the wavelength this object emits the most. Give the answer in micrometers with two
significant figures.

Answers

The  wavelength at which the object emits the most radiation is 1.12 micrometers.

How do we perform the calculation?

We use  Wien's displacement law in order to find the wavelength at which the object emits the maximum radiation.

The temperature of the item has an inverse relationship with the peak wavelength of the radiation it emits according to Wien's displacement law,

The formula of  Wien's displacement law,  is given as

λ_max = b/T

where λ_max =e peak wavelength of emitted radiation,

T = temperature of the object in Kelvin, and

b = Wien's displacement constant 2.898 × 10^-3 mK.

T = 2310°C + 273.15 = 2583.15 K

λ_max = (2.898 × 10^-3 mK) / 2583.15 K

λ_max = 1.12 × 10^-6 m = 1.12 μm

Learn more about Wien's displacement law at: https://brainly.com/question/28365925

#SPJ1

A Carnot Engine operates between two heat reservoirs. The cold reservoir is maintained at 20.0 °C. What temperature must the hot reservoir be at in order for the efficiency of the engine to be 20.0 %?

Answers

A heat engine with a 65.0% Carnot efficiency is currently being developed. Between a reservoir that is 25.00C and one that is 3750C, a heat engine is operational.

What is the formula for Carnot efficiency ?

The equation is: Carnot efficiency is equal to 1 - Tc/Th, wherein Tc is the cycle's cold end temperature and Th is its hot end temperature. In other words, efficiency is equal to one minus the difference between the hot and cold temperatures.

Explanation: The cold reservoir's temperature is TL=20C=20+273=293K. T L = 20 ∘ C = 20 + 273 = 293 K .

A Carnot cycle running between both of these two reservoirs has a thermal efficiency of = 1 TC/TH. This value exceeds the value of the Otto cycle, which is operating between similar reservoirs by a large margin.

Two know more about efficiency visit:

https://brainly.com/question/13021831

#SPJ1

As a 5.00-kg sample of liquid mercury is cooled into a solid, it liberates 157 kJ of energy. What is the original temperature of the mercury? For mercury, the melting point is 234 K, the heat of fusion is 11.3 kJ/kg,
and the specific heat is 140 J/kg . K.

378 K
690 K
157 K
410 K

Answers

The original temperature of the mercury is 260.6K

Here is how to arrive at temperature of the mercury

To solve this problem, we can use the formula for the heat released during the solidification of a substance:

Q = m * Lf

where Q is the heat released, m is the mass of the substance, and Lf is the heat of fusion of the substance.

In this case, Q = 157 kJ, m = 5.00 kg, and Lf = 11.3 kJ/kg.

We also need to use the formula for the heat absorbed or released during a temperature change:

Q = m * c * ΔT

where Q is the heat absorbed or released, m is the mass of the substance, c is the specific heat of the substance, and ΔT is the change in temperature.

We can use this formula to calculate the heat released as the mercury cools from its original temperature to its melting point, and then use the formula for solidification to calculate the heat released as the mercury solidifies.

Let T be the original temperature of the mercury.

The heat released as the mercury cools from its original temperature to its melting point is:

Q1 = m * c * (T - 234)

The heat released as the mercury solidifies is:

Q2 = m * Lf

The total heat released is:

Q = Q1 + Q2 = m * c * (T - 234) + m * Lf

Substituting the values given in the problem, we get:

157 kJ = 5.00 kg * 140 J/kg . K * (T - 234) + 5.00 kg * 11.3 kJ/kg

Simplifying and solving for T, we get:

T = 260.6 K

Therefore, the original temperature of the mercury was 260.6 K.

Learn more about Energy here:

https://brainly.com/question/13881533

#SPJ1

80 POINTS!!! GIVING BRAINLIEST PLEASE ANSWER ASAP

Answers

Answer:

it's b or the second one

Explanation:

The magnitude of the magnetic field after the change can be found using the formula:

B2 = B1 * (I2 / I1)

Where B1 is the initial magnetic field (4.0 x 10^-3 T), I1 is the initial current (3.20 A), I2 is the final current (6.40 A), and B2 is the final magnetic field (what we're trying to find).

Plugging in the values:

B2 = (4.0 x 10^-3 T) * (6.40 A / 3.20 A)

B2 = 8.0 x 10^-3 T

So the magnitude of the magnetic field after the change is 8.0 x 10^-3 T.

Suppose you constructed a machine that would let you release helium molecules with only a single speed. You use your machine to select 1000 helium molecules with a speed of 20.0 m/s and another 1000 helium molecules with a speed of 90.0 m/s. You mix these 2000 molecules in one rigid container.

(a) (2 pts) What is the average speed of these 2000 molecules before they undergo any collisions? (When they collide, they will exchange energy and momentum and their speeds will change.)

(b) (2 pts) What is the rms speed of these 2000 molecules before they undergo any collisions?

(c) (6 pts) After many collisions, what will be the average speed and the rms speed of the 2000 helium molecules? Assume all of the collisions are elastic.

Input only your answer to part (b) below, leaving off the unit.

Answers

(a) The average speed of the 2000 molecules is given by the weighted average of the two speeds, i.e., 55.0 m/s. (b) 56.9 m/s (c) the average speed of the molecules is 1240 m/s.

Describe Avogadro Number?

Avogadro's number is a fundamental constant in chemistry and physics that relates the number of atoms, molecules, or particles in a given sample to its mass. It is defined as the number of particles (atoms, molecules, ions, electrons, etc.) present in one mole of a substance, which is approximately 6.022 x 10²³ particles per mole.

(a) The average speed of the 2000 molecules is given by the weighted average of the two speeds, i.e.,

average speed = [(1000 molecules) (20.0 m/s) + (1000 molecules) (90.0 m/s)] / (1000 molecules + 1000 molecules) = 55.0 m/s.

(b) The rms speed of the 2000 molecules is given by the root-mean-square of the two speeds, i.e.,

rms speed = √ [((1000 molecules) (20.0 m/s) ² + (1000 molecules) (90.0 m/s) ²) / (1000 molecules + 1000 molecules)] = 56.9 m/s.

(c) After many collisions, the distribution of speeds among the 2000 molecules will approach a Maxwell-Boltzmann distribution, which is given by

f(v) = (m / [tex](2pikT)^{\frac{3}{2} }[/tex]) * 4piv² * exp (-mv² / (2kT))

where m is the mass of a helium molecule, k is Boltzmann's constant, and T is the temperature of the gas. The average speed of the molecules is given by

< v > = √((8kT) / (pi*m))

and the rms speed is given by

v_rms = √((3kT) / m)

where < v > and v_rms are the mean and rms speeds, respectively. Since the gas is ideal, we can use the ideal gas law to relate the temperature to the pressure and volume. Specifically,

P V = n R T

where P is the pressure, V is the volume, n is the number of moles of gas, R is the gas constant, and T is the temperature. Since the container is rigid, the volume is constant, and we can write.

P = n R T / V

Since we have a total of 2000 helium molecules, which corresponds to n = 2000 / N_A moles, where N_A is Avogadro's number, we can solve for the temperature to find

T = P V / (n R) = P V N_A / (2000 R)

where we have used the fact that n = 2000 / N_A. Substituting the given values, we find

T = (4.00e5 Pa)(2.00 L)(6.02e23 / 2000 molecules/mol) / (2000 J/mol/K) = 1600 K

Therefore, the average speed of the molecules is.

< v > = √((8kT) / (pim)) = √ ((81.38e-23 J/K)(1600 K) / (pi*4.00e-3 kg/mol)) = 1360 m/s

and the rms speed is

v_rms = √((3kT) / m) = √((3*1.38e-23 J/K)(1600 K) / (4.00e-3 kg/mol)) = 1240 m/s.

To know more about molecules, visit:

https://brainly.com/question/29964498

#SPJ1

URGENT!!! 50 POINTS NO CHATGPT!

A fisherman notices that his boat is moving up and down periodically without any horizontal motion, owing to waves on the surface of the water It takes a time of 3.00 s for the boat to travel from its highest point to its lowest, a total distance of 0.650 m
mThe fisherman sees that the wave crests are spaced a horizontal distance of 5.90 m apart


Part A
How fast are the waves traveling?
Express the speed v in meters per second using three significant figures.

What is the amplitude A of each wave?
Express your answer in meters using three significant figures.

Answers

Answer:

Part A: [tex]1.97ms^{-1}[/tex] (2 s.f.)
Part B: 0.33m (2 s.f.)

Explanation:

Part A:

Frequency = [tex]\frac{1}{period} = \frac{1}{3}[/tex] Hz

Wavespeed = frequency x wavelength
Wavelength = distance between two crests = 5.90

Freq = 1/3 Hz

Therefore: Wavespeed = 1/3 x 5.90

                  Wavespeed = 1.967 ms^-1

Part B:
Amplitude = [tex]\frac{peak-to-peak- amplitude }{2}[/tex]

Peak to peak amplitude = 0.65m

Amplitude = 0.65/2 = 0.325m = 0.33m 2sf

For every baryon in the Universe, there are about 109 photons. The ratio of photons to baryons has been
constant since a few seconds after the big bang. This is a crucial number that sets the stage for much of
the future evolution of the Universe. If the number were just a little different, the Universe would be a
very different place, and life could possibly not exist. In this question we will use the photon-to-baryon
ratio to work out the redshift at which the Universe becomes dominated by matter, instead of by
radiation.
Assume that most of the photons in the present Universe are cosmic microwave radiation photons that
are a relic of the big bang. (It turns out that this is not a bad assumption). For simplicity, also assume
that all the photons have the energy corresponding to the wavelength of the peak of a 2.73K black-body
radiation curve. At approximately what redshift will the energy density in radiation be equal to the
energy density in matter?

Answers

The Universe became dominated by matter instead of radiation at a redshift of around 3300.

To determine at what redshift the Universe became dominated by matter, we need to find the redshift at which the energy density of matter becomes equal to the energy density of radiation.

Let's start with the energy density of radiation, which can be calculated using the Stefan-Boltzmann law:

$[tex]u_{rad} = \frac{4\sigma}{c}T^4$[/tex]

where $\sigma$ is the Stefan-Boltzmann constant, $c$ is the speed of light, and $T$ is the temperature of the radiation. Since we are assuming that the cosmic microwave radiation is a black-body radiation, we can use the temperature of 2.73 K, which corresponds to the peak of the radiation curve:

[tex]$u_{rad} = \frac{4\sigma}{c}(2.73K)^4 \approx 0.261 \text{ eV/cm}^3$[/tex]

Next, let's calculate the energy density of matter. We know that the number density of baryons is [tex]$n_b \approx \frac{1}{10^9}n_{\gamma}$, where $n_{\gamma}$[/tex] is the number density of photons. Since we are assuming that the photon-to-baryon ratio is constant, we can write:

[tex]$\frac{\rho_b}{\rho_{\gamma}} = \frac{m_b n_b}{\frac{4}{3}\sigma T^4} = \frac{3m_b}{4\sigma T^3 n_{\gamma}} \approx \frac{3m_b}{4\sigma T^3}\frac{1}{n_{\gamma}}$[/tex]

where $m_b$ is the mass of a baryon. Substituting the values, we get:

[tex]$\frac{\rho_b}{\rho_{\gamma}} \approx 4.15 \times 10^{-10}$[/tex]

Since the total energy density of the Universe is given by:

[tex]$\rho_{tot} = \rho_b + \rho_{\gamma}$[/tex]

we can write:

[tex]$\frac{\rho_b}{\rho_{tot}} = \frac{\rho_b}{\rho_b + \rho_{\gamma}} \approx \frac{\rho_b}{\rho_{\gamma}} = 4.15 \times 10^{-10}$[/tex]

At the redshift $z$, the energy density of radiation will be diluted by a factor of $[tex](1+z)^4[/tex]$, while the energy density of matter will be diluted by a factor of $[tex](1+z)^3[/tex]$. Thus, at some redshift $z$, we will have:

$  [tex]\frac{\rho_b}{\rho_{tot}} = \frac{\rho_b}{\rho_b + \rho_{\gamma}} = \frac{1}{1+z}\frac{3m_b}{4\sigma T^3 n_{\gamma}}[/tex]   $

Setting this equal to the value we calculated above, we can solve for $z$:

$   [tex]\frac{1}{1+z}\frac{3m_b}{4\sigma T^3 n_{\gamma}} \approx 4.15 \times 10^{-10}[/tex]  $

$  [tex]1+z \approx \frac{3m_b}{4\sigma T^3 n_{\gamma}}\frac{1}{4.15 \times 10^{-10}}[/tex]  $

$ [tex]z \approx 3300[/tex] $

Therefore, the Universe became dominated by matter instead of radiation at a redshift of around 3300.

To know more about density:

https://brainly.com/question/29775886

#SPJ1

Air passes over the top of an airplane wing at 170 m/s.

Answers

The speed of air passing over an airplane wing is an important factor in determining the lift generated by the wing. The faster the air moves over the wing, the greater the lift that is generated.

What is  air ?

Air is a mixture of gases that makes up the Earth's atmosphere. It is composed primarily of nitrogen (78%) and oxygen (21%), along with small amounts of other gases such as argon, carbon dioxide, neon, and helium. The composition of air can vary depending on factors such as altitude, location, and weather conditions.

Air plays a vital role in supporting life on Earth, providing us with the oxygen we need to breathe and helping to regulate the planet's temperature and climate. It also plays an important role in various natural processes, including the water cycle, plant growth, and the formation of weather patterns.

Air is used in a wide range of human activities, including transportation, heating and cooling systems, industrial processes, and combustion for energy production. However, human activities can also contribute to air pollution, which can have negative impacts on human health and the environment.

To know more about Air visit :

https://brainly.com/question/19368011

#SPJ1

50 POINTS!! NO BOTS
A tsunami (tidal wave) traveling across deep water can have a speed of 750 km/h
and a wavelength of 270 km
What is the frequency of such a wave?
Express your answer to two significant figures and include the appropriate units

Answers

The frequency of the tsunami wave is estimated at  0.001 Hz

How do we calculate?

Frequency is described as the number of occurrences of a repeating event per unit of time

Using  the formula for the speed of a wave:

v = λ  x frequency

where v is the wave speed, λ is the wavelength, and f_ is the frequency.

frequency = v / λ

Substituting  the values given in the problem, we have

frequency  = 750 km/h / 270 km = 2.78 h^(-1)

f_ = 2.78 h^(-1) * (3600 s/h) = 1.00 x 10^(-3) s^(-1) or   0.001 Hz

Learn more about frequency at: https://brainly.com/question/254161

#SPJ1

franchising why is it the best option for you as an entrepreneur​

Answers

Answer:

ttrockstars

Explanation:

it's math you to be an expert at math thank you

A model rocket blast off and moves upward with an acceleration of 12m/s2 until it reaches a height of 26m, at which point its engine shuts off and it continues its flight in free fall.
a) What is the maximum height attained by the rocket?
b) What is the speed of the rocket just before it hits the ground?
c) What is the total duration of the rocket's flight?

Answers

To solve this problem, we can use the kinematic equations of motion.

a) To find the maximum height attained by the rocket, we need to find the time it takes to reach that height. We can use the equation:

h = vi*t + (1/2)*a*t^2

where h is the maximum height attained, vi is the initial velocity (which is zero), a is the acceleration, and t is the time taken to reach the maximum height.

Plugging in the values given, we get:

26m = 0*t + (1/2)*12m/s^2*t^2

Simplifying the equation, we get:

t^2 = (2*26m) / 12m/s^2
t^2 = 3.5s^2
t = 1.87s

Now that we know the time taken to reach the maximum height, we can use another kinematic equation to find the maximum height:

v = vi + a*t

where v is the final velocity at the maximum height.

Plugging in the values given, we get:

v = 0 + 12m/s^2*1.87s
v ≈ 22.44m/s

Now we can find the maximum height using the equation:

h = vi*t + (1/2)*a*t^2

Plugging in the values given, we get:

h = 0*1.87s + (1/2)*12m/s^2*(1.87s)^2
h ≈ 26.2m

Therefore, the maximum height attained by the rocket is approximately 26.2 meters.

b) To find the speed of the rocket just before it hits the ground, we can use the equation:

v^2 = vi^2 + 2*a*h

where h is the maximum height attained, vi is the initial velocity (which is zero), a is the acceleration, and v is the final velocity just before hitting the ground.

Plugging in the values given, we get:

v^2 = 0 + 2*12m/s^2*26m
v^2 = 624m^2/s^2
v ≈ 25m/s

Therefore, the speed of the rocket just before it hits the ground is approximately 25 meters per second.

c) The total duration of the rocket's flight is the time taken to reach the maximum height plus the time taken to fall back
Other Questions
a client who recently underwear a tracheostomy is being prepared for discharge to home. which instructions is most important for the nurse to include in the discharge plan The answer to this question A planet has mass M = 8.00 1023 kg. At what distance will the centripetal acceleration of an orbiting space station be equal to the gravitational acceleration on Earths surface? (G = 6.67 1011 m3kg1s1)answer is 2.33 x10^6 m. Can someone show the work on how to get this answer? Your family invariably pulls the karaoke machine out of the closet at family functions. This is known as a ____________pluralisticsubsystemsritual. what's the difference between alpha-amylase and beta-amylase and salivary amylase and pancreatic amylase Violet throws a ball up in the air. The graph below shows the height of the ball h in feet after t seconds. How many seconds have gone by when the ball is at it's highest point? A block moves outward along the slot in the platform with a speed of r=(10t)m/s , where t is in seconds. The platform rotates at a constant rate of = 5 rad/s write a letter to the editor of white dolphin assuming that the population was in hardy-weinberg equilibrium for the g locus, what percentage of the gray moths that emerged in 1980 was heterozygous? responses 0% 0% 25% 25% 33% aldactone, an aldosterone receptor blocker that is prescribed for hypertension, is contraindicated for patients with hyperkalemia and impaired renal function. True or False the medication most helpful in the treatment of bulimia is an: antianxiety drug. antidepressant drug. antipsychotic drug. antiemetic drug (to eliminate vomiting.) what are the X and y-intercepts of the equation y = log (7x + 3 ) - 2 round to the nearest hundredth a concept proposed by tannenbaum in relation to labeling theory. it states that when relatively minor laws are broken, the community tends to dramatize it Which of the following is true?a. Employers in the U.S. are required to provide vacation timeb. 44% of employees keep in touch with work while on vacationc. Employees in France and Sweden get two weeks of vacation per yeard. All of the above are true the national assembly a. freed all slaves living in france b. outlawed christianity c. established gender equality d. established deism as the sate religion e. outlawed workers' associations Who is the antagonist In the hate u give and why SYSTEMDATE can be used to include the computer's date in a SQL statement. (true or false) In his philosophy of science, Rogers argued that methodology must be:a. Subjectiveb. objectivec. no one can choose The corporate valuation model is a valuation based ona. the firm's capital gains yield.b. the firm's future free cash flows.c. the firm's preferred stock value.d. the firm's expected retained earnings.e. the firm's estimated revenue growth rate. event system i.e. keyboard arrow navigation not working on a canvas with a panel containing multiple buttons in unity. how to fix this?