The block moves outward along the slot with a speed of [tex]$v = \sqrt{100t^2 + 25r^2}$[/tex] m/s at an angle of approximately 78.69° with the positive x-axis. The platform rotates at a constant rate of θ˙ = 5 rad/s.
The motion of the block can be analyzed by considering both its radial and tangential components of velocity.
The radial component of velocity is given by r˙, which is 10t m/s. This means that the distance between the center of rotation and the block increases with time.
The tangential component of velocity is given by θ˙r, where r is the distance between the center of rotation and the block. This means that the block moves around the center of rotation at a constant angular speed of 5 rad/s.
To find the total velocity of the block, we can use the Pythagorean theorem:
[tex]$v = \sqrt{\dot{r}^2 + (\dot{\theta}r)^2}$[/tex]
Substituting the given values, we get:
[tex]$v = \sqrt{(10t)^2 + (5r)^2} = \sqrt{100t^2 + 25r^2}$[/tex]
To find the direction of the velocity, we can use the tangent of the angle between the velocity vector and the positive x-axis:
tan(θ) = (θ˙r)/r˙ = 5
This means that the angle between the velocity vector and the positive x-axis is constant at arctan(5) ≈ 78.69°.
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019 (part 1 of 2) 10.0 points
A Carnot engine has a power output of
197 kW. The engine operates between two
reservoirs at 20◦C and 425◦C.
How much thermal energy is absorbed each
hour?
Answer in units of J.
020 (part 2 of 2) 10.0 points
How much thermal energy is lost per hour?
Answer in units of J.
Thermal energy is absorbed each hour is 13.53 x 10¹² J and thermal energy lost per hour is 7.092 x 10¹² J.
What is the Carnot engine's operating principle?a technique of isothermal gas expansion that is reversible. In this process, the ideal gas in the system receives amount heat from a heat source at a high temperature Thigh, expands and does work on surroundings. a technique of adiabatic gas expansion that is reversible. The system is thermally insulated throughout this process.
Temp_cold = 20°C + 273.15 = 293.15 K
Temp_hot = 425°C + 273.15 = 698.15 K
efficiency = 1 - (Temp_cold / Temp_hot)
= (698.15 K * 293.15 K) / (698.15 K)² - (293.15 K)²
efficiency = 0.524 or 52.4%
thermal energy absorbed/ hour = power output / efficiency
= 197 kW / 0.524
= 375.95 MJ/h x 3.6 x 10⁶ J/kWh = 13.53 x 10¹² J
thermal energy is lost per hour
W = power output x time = 197 kW x 1 h = 197 kWh
W = 197 kWh x 3.6 x 10⁶ J/kWh = 7.092 x 10¹²1J
Since the engine is running in a cycle, the system's internal energy is equal to zero, hence U = 0.
Q = ΔU + W
hence, thermal energy lost per hour = Q = W = 7.092 x 10^11 J
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credit-card magnetic strips experiments carried out on the television show mythbusters determined that a magnetic field of 1000 gauss is needed to corrupt the information on a credit card's magnetic strip. (they also busted the myth that a credit card can be demagnetized by an electric eel or an eelskin wallet.) suppose a long, straight wire carries a current of 6.5 a . part a how close can a credit card be held to this wire without damaging its magnetic strip? express your answer using two significant figures.
A credit card can be held up to 1.04 cm away from the wire with a magnetic field of 1000 gauss.
How close can a credit card be held to this wire without damaging its magnetic strip?We can use the formula for the magnetic field around a long, straight wire to calculate the magnetic field at a certain distance from the wire:
B = μ0I / (2pi*r)
where B is the magnetic field, μ0 is the permeability of free space (4pi10^-7 T*m/A), I is current, and r is the distance from the wire.
We want to find the maximum distance r such that the magnetic field is less than 1000 gauss (0.1 tesla). We can rearrange the formula to solve for r:
r = μ0I / (2pi*B)
Plugging in the values given, we get:
r = (4pi10^-7 Tm/A)(6.5 A) / (2pi0.1 T) = 1.04 cm
Therefore, a credit card can be held up to 1.04 cm away from the wire without damaging its magnetic strip, rounded to two significant figures.
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as the afterload is increased, how did the latency change
Latency increases as afterload increases because it takes the muscle more time to generate enough muscle tension to overcome the added resistance of the increased afterload.
The muscle needs to develop a greater force to shorten and lift the added load, resulting in a delay or lag time before the contraction begins. This delay is the latency, which increases as the afterload increases. Once the muscle tension is great enough to overcome the afterload, the muscle can then contract and move the load. This phenomenon is due to the properties of the muscle fibers and the amount of energy required to generate muscle tension, which increases with greater afterload.
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. for schrodinger's equation of the h2 molecule, the kinetic energy has contributions from a. electrons only b. nuclei only c. both electrons and nuclei d. only one electron and one nucleus
The kinetic energy in Schrödinger's equation for the H2 molecule includes contributions from both electrons and nuclei. Thus the correct option is C.
The kinetic energy term in Schrödinger's equation for the H2 molecule refers to the energy involved in the motion of the particles. The H2 molecule comprises two hydrogen nuclei and two electrons, therefore the electrons and the nuclei both contribute to the kinetic energy.
The nuclei contribute to the kinetic energy by their mobility, whereas the electrons do so through their wave-like behaviour. The H2 molecule's kinetic energy term in Schrödinger's equation includes contributions from both electrons and nuclei, making option C the right response.
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The kinetic energy in Schrödinger's equation for the H2 molecule includes contributions from both electrons and nuclei. Thus the correct option is C
explanation - For Schrödinger's equation of the H2 molecule, the kinetic energy has contributions from both electrons and nuclei. This is because the kinetic energy term in the equation accounts for the motion of all particles in the system, which in this case includes both the electrons and nuclei of the H2 molecule. Therefore, options a, b, and d are incorrect.
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Potable water is ____.
A. also known as industrial wastewater
B. also known as irrigation water
C. also known as sewage
D. also known as groundwater
E. fit for drinking
Potable water is fit for drinking. Option E
What is portable water?Potable water is water that is safe for human consumption and considered fit for drinking. It is free from harmful bacteria, viruses, chemicals, and other contaminants that can cause health problems.
Potable water can come from different sources such as groundwater, surface water, or treated wastewater, and it is typically treated and disinfected to ensure its safety before being distributed to consumers.
Portable water isn't known as industrial wastewater, irrigation water, groundwater and sewage.
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what is the typical voltage drop (in volts) across the collector and emitter (vce) of a bjt when in saturation?
The VCE voltage drop in saturation for a typical BJT can be assumed to be between 0.1V and 0.3V.
How VCE voltage drop in saturation for a typical BJT?The voltage drop across the collector and emitter (VCE) of a bipolar junction transistor (BJT) when it is in saturation depends on several factors such as the type of BJT, the collector current, and the biasing conditions.
However, as a general rule of thumb, the VCE voltage drop in saturation for a typical BJT can be assumed to be between 0.1V and 0.3V, depending on the specific characteristics of the transistor. This value may vary based on the operating conditions and the specific transistor used.
It's worth noting that the VCE voltage drop in saturation is typically lower than the voltage drop in the active region, where the BJT behaves as a current amplifier. In the active region, the VCE voltage drop can range from a few tenths of a volt up to several volts, depending on the transistor's characteristics and operating conditions.
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what is the weight of a cubic meter of cork? could you lift it? (use 400 kg/m^3 for the density of cork.)
To lift this weight, you would need a force greater than or equal to 3,920 N (assuming you are lifting it vertically).
weight = [tex]1 m^3 \times 400 kg/m^3 \times9.8 m/s^2[/tex]
weight = 3,920 N
Force is a physical quantity that describes the interaction between objects or systems. The SI unit of force is the Newton (N), which is defined as the amount of force required to accelerate a one kilogram mass at a rate of one meter per second squared.
Force is also responsible for deformations in solid objects, such as stretching or compressing a spring. Nuclear forces are responsible for the interactions between subatomic particles, and frictional forces are the forces that resist motion when two surfaces come into contact. Gravitational force is the force that pulls objects towards each other due to their masses. Electromagnetic force is responsible for the interactions between charged particles, such as in electricity or magnetism.
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a circuit breaker is rated for a current of 15 a rms at a voltage of 240 v rms. (a) what is the largest value of imax that the breaker can carry?
The largest value of I_max that the breaker can carry is approximately 21.21 A.
Given a circuit breaker rated for 15 A RMS at 240 V RMS, we want to find the largest value of Imax (maximum current) that the breaker can carry. To do this, we'll use the following formula:
I_max = √2 * I_RMS
Where I_RMS is the rated current in RMS, which is 15 A in this case.
Substitute the value of I_RMS into the formula:
Imax = √2 * 15 A
Calculate the value of Imax:
Imax ≈ 21.21 A
Therefore approximately 21.21 A is the largest value of Imax that the breaker can carry.
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the james webb space telescope is scheduled to launch in 2018. in what range of the electromagnetic spectrum will it operate?
The James Webb Space Telescope is designed to operate primarily in the infrared portion of the electromagnetic spectrum, with a wavelength range of 0.6 to 28 microns.
What is the James Webb Space TelescopeThe James Webb Space Telescope (JWST) is a large, infrared-optimized space telescope that was originally scheduled to launch in 2018, but has since been delayed multiple times.
The range for JWST is a much wider range than the Hubble Space Telescope, which operates mainly in the visible and ultraviolet parts of the spectrum. By studying the infrared light emitted by stars and galaxies, the JWST will be able to observe objects that are too faint or too distant to be seen by other telescopes, and will provide new insights into the early universe, the formation of galaxies, and the formation of stars and planetary systems.
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a drawing, provided by the manufacturer, that details permitted interconnections between the intrinsically safe and associated apparatus or between the nonincendive field wiring apparatus or associated nonincendive field wiring apparatus is called a
The drawing provided by the manufacturer, which details the permitted interconnections between intrinsically safe and associated apparatus or between nonincendive field wiring apparatus or associated nonincendive field wiring apparatus, is called a wiring diagram.
A wiring diagram typically includes detailed information about the wiring connections between components, as well as any necessary safety measures such as grounding or shielding. It may also include information about the voltage, current, and power requirements of the system, as well as any limitations or restrictions on the use of particular components or configurations.
This diagram is a critical part of the installation and maintenance process for intrinsically safe and nonincendive electrical systems, as it helps ensure that the correct connections are made and that the system operates safely and effectively.
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The complete question is:
A drawing, provided by the manufacturer, that details permitted interconnections between the intrinsically safe and associated apparatus or between the nonincendive field wiring apparatus or associated nonincendive field wiring apparatus is called a ______________
at 2.1 km from the transmitter, the peak electric field of a radio wave is 350 mv/m . what is the peak electric field 10 km from the transmitter?
The peak electric field 10 km from the transmitter is approximately 15.435 mV/m.
To find the peak electric field 10 km from the transmitter, we can use the inverse square law.
This law states that the intensity of a wave (such as the electric field in this case) is inversely proportional to the square of the distance from the source.
Here's a step-by-step explanation:
1. Note the initial distance (d1) and electric field (E1):
d1 = 2.1 km, E1 = 350 mV/m.
2. Convert d1 to meters:
d1 = 2100 m.
3. Note the final distance (d2):
d2 = 10 km.
4. Convert d2 to meters:
d2 = 10,000 m.
5. Use the inverse square law formula:
E2 = E1 * (d1²) / (d2²).
6. Plug in the values:
E2 = 350 * (2100²) / (10,000²).
7. Calculate E2:
E2 ≈ 15.435 mV/m.
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A bow is drawn so that it has 40 J of potential energy. When fired, the arrow will have a kinetic energy of: Select one: O a. 80) o b. 20) O 0.60) O d. 40)
When a bow is drawn and has 40 J of potential energy, the arrow's kinetic energy when fired will be:
Your answer: d. 40 J
Explanation:
Potential energy is the energy that an object possesses due to its position, configuration, or state of being. It is stored energy that has the potential to do work in the future. The amount of potential energy that an object has depends on its position or configuration relative to other objects or systems. For example, a bow that is pulled back has potential energy that can be released as kinetic energy when it is released.
Kinetic energy, on the other hand, is the energy that an object possesses due to its motion. It is the energy that an object possesses because it is in motion and is able to do work by causing a change in another object's motion or position. The amount of kinetic energy that an object has depends on its mass and its velocity. For example, a moving car has kinetic energy that can be transferred to another object if it collides with it.
When the bow is drawn, it stores potential energy. When fired, this potential energy is converted into kinetic energy for the arrow. In an ideal situation with no energy loss, the arrow's kinetic energy will be equal to the bow's potential energy. Therefore, the arrow will have a kinetic energy of 40 J.
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The majority of Venus's surface is:
A. volcanic plains with flowing lava.
B large, flat mesas with tiny valleys.
C. thick, soupy clouds of hydrogen.
D. frozen dunes of dust and sand.
Answer:
C.
Explanation:
When Venus surface get bit cold when weather hits the planet gets soupy clouds and etc.
.A cannonball is launched upward with a velocity of 73.5 m/s at an angle of 20 degrees above the
horizontal.
(a) How long is the cannonball in the air?
(b) How far away does it land?
() How high does it travel? Cut your time in half!
Answer:
time of flight=( 2U sinx ) ÷ g
Explanation:
a)
u=73.5m/s , x= 20° , g =10m/s^2 then t= {2×73.5 × sin 20°} ÷ 10 = 134.2 ÷ 10 = 13.42 sec b) range is the distance, range= (u^2 sin 2 x ) ÷g = ({73.5 }^2 × sin 2 × 20 )÷ 10 =4025.3÷10 = 402.53meters. I couldn't finish the question so sorry
15) monochromatic coherent light shines through a pair of slits. if the distance between these slits is decreased, which of the following statements are true of the resulting interference pattern? (there is more than one correct choice.) a) the distance between the maxima stays the same. b) the distance between the maxima decreases. c) the distance between the minima stays the same. d) the distance between the minima increases. e) the distance between the maxima increases.
Two of the correct statements regarding this are:
b) the distance between the maxima decreases
d) the distance between the minima increases
When monochromatic coherent light shines through a pair of slits, an interference pattern is created. This pattern is dependent on the distance between the slits. If the distance between the slits is decreased, the resulting interference pattern will be affected.
When the distance between the slits is decreased, the interference pattern becomes wider, and the distance between the maxima decreases. The distance between the minima, on the other hand, increases.
This is because the interference pattern is created by the interaction of waves, and when the distance between the slits is decreased, the waves interfere with each other differently.
This causes the pattern to shift and change. Therefore, the resulting interference pattern is affected by the distance between the slits.
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a satellite circles a spherical planet of unknown mass in a circular orbit of radius 2.5×107 m . the magnitude of the gravitational force exerted on the satellite by the planet is 110 n .
Since we don't know the mass of the satellite or its velocity, we can't solve for the mass of the planet with the given information alone. We would need at least one more piece of information to do so.
Answer - Based on the given information, we can use the equation for gravitational force:
F = (G * m1 * m2) / r^2
where F is the force, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between their centers.
Since we don't know the mass of the planet, we can't directly solve for it. However, we can use the fact that the satellite is in a circular orbit, which means that the gravitational force is equal to the centripetal force:
F = (m * v^2) / r
where m is the mass of the satellite and v is its velocity.
We can solve for m by rearranging the equation:
m = (F * r) / v^2
Now we can use this mass value and plug it into the original equation for gravitational force, along with the given values for r and F, to solve for the mass of the planet:
110 N = (G * m * m_planet) / (2.5x10^7 m)^2
m_planet = (110 N * (2.5x10^7 m)^2) / (G * m)
where G is a constant equal to 6.67x10^-11 N*m^2/kg^2.
Unfortunately, since we don't know the mass of the satellite or its velocity, we can't solve for the mass of the planet with the given information alone. We would need at least one more piece of information to do so.
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Please help I need to answer fast the fate of my graduation depends on it.
First, we need to find the total mass of the system by adding the masses of the two objects: m_total = m1 m2 = 50.0 kg 75.0 kg = 125.0 kg Next, we can plug in the given force and mass values into the equation: F = ma 40.0 N = 125.0 kg * a Solving for a: a = 40.0 N
125.0 kg * a
Solving for a:
a = 40.0 N / 125.0 kg
a = 0.32 m/s^2
Therefore, the acceleration of the system is 0.32 m/s^2.
Power supplies are rated for efficiency based on. drawn to supply sufficient power to the PC. a. volts b. watts c. amperes d. ohms. Study These Flashcards.
B. Power supplies are rated for efficiency based on watts. The efficiency of a power supply is determined by the ratio of its output power (in watts) to its input power (also in watts).
The lesser the effectiveness, the lower power is wasted as heat and the lesser the power given to the computer's factors. In addition to effectiveness, power inventories are rated for maximum affair power, which is generally expressed in watts. This standing represents the loftiest quantum of power that the power force can deliver to the computer's factors.
Other conditions, similar as voltage and amperage conditions for their different affair connections, may be assigned to power inventories. The maximum voltage and current that the power force can produce on each connection are indicated by these conditions. Ohms, on the other hand, are a resistance unit that's infrequently used to grade power force.
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Two point charges are separated by 25. 0 cm (see (Figure 1)). Assume that q1 = -7. 50 nC and q2 = -10. 5 nC.
Figure1 of 1Two negative point charges are placed on a dashed horizontal line. The charge on the left is q subscript 1, and the charge on the right is q subscript 2. The charges are separated by a distance of 25. 0 centimeters. Two points are marked at the dashed line. Point A is marked 10. 0 centimeters to the left of charge q subscript 2, and point B is marked 10. 0 centimeters to the left of charge q subscript 1.
Two negative point charges are placed on a dashed horizontal line. The charge on the left is q subscript 1, and the charge on the right is q subscript 2. The charges are separated by a distance of 25. 0 centimeters. Two points are marked at the dashed line. Point A is marked 10. 0 centimeters to the left of charge q subscript 2, and point B is marked 10. 0 centimeters to the left of charge q subscript 1.
Part A
Find the net electric field these charges produce at point A.
Express your answer in newtons per coulomb
The net electric field at point A is 3.58 x 10^7 N/C, directed towards q₂.
To find the net electric field at point A, we need to first find the electric field due to each charge individually, and then add them up vectorially. The electric field due to a point charge is given by:
E = kq/r²
where k is Coulomb's constant, q is the charge of the point charge, and r is the distance between the point charge and the point where the electric field is being calculated.
For point A, the distance between q₁ and A is 35 cm (25 cm between q₁ and q₂ + 10 cm between q₂ and A), and the distance between q₂ and A is 10 cm. Therefore, the electric field due to q₁ at A is:
E₁ = kq₁/r₁² = (9.0 x 10^9 N*m²/C²)(-7.50 x 10^-9 C)/(0.35 m)²
= -1.95 x 10^6 N/C
The negative sign indicates that the electric field due to q₁ is directed towards the charge itself. Similarly, the electric field due to q₂ at A is:
E₂ = kq₂/r₂² = (9.0 x 10^9 N*m²/C²)(-10.5 x 10^-9 C)/(0.10 m)²
= -3.78 x 10^7 N/C
The negative sign here also indicates that the electric field due to q₂ is directed towards the charge itself.
To find the net electric field at A, we add these two electric fields vectorially. Since the electric fields are in opposite directions, we subtract their magnitudes:
|E_net| = |E₁| - |E₂| = 3.58 x 10^7 N/C
The direction of the net electric field is towards q₂, which is the direction of E₂.
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a star less luminous than our sun will have a habitable zone that is
how far from the nut of the guitar must a fret (and your finger) be placed on this string to play g (392 hz )?
To play G note (392 Hz) on a guitar string, place the fret and your finger at a distance of approximately 40.4 cm (or 16 inches) from the nut of the guitar.
The distance that the fret and your finger must be placed from the nut of the guitar is determined by the length of the string that is allowed to vibrate when the string is plucked. The length of the vibrating string determines the frequency of the sound produced by the guitar string.
The distance from the nut of the guitar to the fret that must be placed to play a G note with a frequency of 392 Hz can be calculated using the formula:
[tex]L = (v / 2f) * (n^2 - 1)[/tex]
where L is the length of the string from the nut to the fret, v is the velocity of the wave (which is dependent on the tension and mass per unit length of the string), f is the frequency of the note, and n is the fret number (with n=1 corresponding to the distance from the nut to the first fret).
For a standard guitar tuning and using typical values for the velocity of the wave and string tension, the distance from the nut to the third fret would be approximately 40.4 cm to play a G note with a frequency of 392 Hz.
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If a vehicle starts to skid on water (hydroplane), the driver should ease off the accelerator, brake gently and gently steer back onto the pavement. (true or false)
If a vehicle starts to skid on water (hydroplane), the driver should ease off the accelerator, brake gently and gently steer back onto the pavement True.
If a vehicle starts to skid on water (hydroplane), it means that the tires have lost contact with the road and are riding on a thin layer of water, resulting in a loss of traction and control. To regain control of the vehicle, the driver should ease off the accelerator to reduce the speed, and gently steer the vehicle back onto the pavement.
Braking should be done gently, as sudden braking can cause the wheels to lock up and increase the risk of a spin-out or loss of control. It is important for drivers to stay calm and focused during hydroplaning to avoid accidents.
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True. To restore control, the driver should gradually release the gas, softly use the brakes and turn the car back onto the roadway.
This is due to the fact that hydroplaning makes it challenging to regulate the direction and speed of the vehicle since it happens when the tyres lose contact with the road due to a layer of water. If the brakes are used too firmly, the wheels may lock up and the skid will worsen. To regain control of the vehicle, it is crucial to avoid making abrupt moves and instead make small adjustments. Additionally, keeping adequate tyre tread depth and the right tyre pressure might aid in avoiding hydroplaning altogether.
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a pendulum is swinging upward and is halfway toward its highest position, as shown, when the string breaks. which of the paths shown best represents the one that the ball would take after the string breaks?
The option A is best representation of the path that the ball would take after the string breaks.
When the string of a pendulum breaks, the ball's path will follow the laws of motion, specifically the law of conservation of energy. As the ball was halfway to its highest position, it had a certain amount of potential energy.
When the string broke, this potential energy would convert to kinetic energy, causing the ball to move in a straight line tangent to the point where the string broke.
Therefore, the path that the ball would take after the string breaks would be a straight line away from the pivot point of the pendulum, as shown in option A. The other paths shown do not follow the laws of motion and do not account for the conservation of energy. Option (A) is the correct answer.
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Note the full question is
A pendulum is swinging upward and is halfway toward its highest position, as shown, when the string breaks. which of the paths shown best represents the one that the ball would take after the string breaks?
A) A
B) B
C) C
D) D
E) E
a common way to describe acceleration is to express it in multiples of g, earth's gravitational acceleration. if a dragster accelerates at a rate of 39.2 m/s2, how many g's does the driver experience?
The acceleration of the dragster in multiple of g, when he accelerates at a rate of 39.2 m/s², is 4g.
To express the acceleration of the dragster in multiples of g, we need to divide the acceleration by the acceleration due to gravity on Earth.
Number of g's = (Acceleration of the dragster) / (Earth's gravitational acceleration)
First, we need the value of Earth's gravitational acceleration, which is approximately 9.81 m/s².
Now, we can use the given acceleration of the dragster (39.2 m/s²) and the formula:
Number of g's = (39.2 m/s²) / (9.81 m/s²) = 4
Therefore, the driver of the dragster experiences an acceleration equivalent to about 4 times the acceleration due to gravity on Earth.
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help me please oml 2 one
Color: Both the bromine gas and steak have a brownish color.
What is bromine gas?Bromine gas is a reddish-brown, nonflammable, and highly toxic gas with a very strong, unpleasant odor. It is composed of two heavy, diatomic, halogen molecules, Br2, and is the only nonmetal element that exists as a liquid at room temperature. Bromine gas is denser than air and is soluble in water and organic solvents.
Texture: The bromine gas is a gas and therefore has no texture, while the steak is solid and has a firm texture.
Temperature: The bromine gas is a gas and therefore has a lower temperature than the steak, which is at room temperature.
Bromine Gas and Juice:
Color: The bromine gas is brownish and the juice is a yellowish or orange color.
Texture: The bromine gas is a gas and therefore has no texture, while the juice is a liquid and has a smooth texture.
Temperature: The bromine gas is a gas and therefore has a lower temperature than the juice, which is at room temperature.
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water is drawn from a well in a bucket tied to the end of a rope whose other end wraps around a cylinder of mass 50 kg and diameter 25 cm. as you turn this cylinder with a crank, the rope raises the bucket. if the mass of a bucket of water is 20 kg, what torque must you apply to the crank to raise the bucket of water at a constant speed?
m_c (mass of cylinder)=50 kg
d=25 cm so r=12.5 cm = 0.125 m m_b
(mass of bucket)=20 kg
So using the equations: RT = � = I � RT= I � (m_b)g-T= (m_b)aR And from what I understand, this is the same as the tangential acceleration? (m_b)g-T=(m_b) � r = F T= ( i � ) / r (m_b)g -(( i � ) / r ) = m � r � ( ((m_b)r) + (I /R ) ) = (m_b)g Leaving us with the final : � = ((m_b)g)/(((m_b)r) + (I /r)) Using this equation, I found I = 0.390625 and the final answer would be 35 rad/s^2 Sorry for such a long post--this is my first time on the website and I read the rules so hopefully I've done everything correctly! Thank you all!
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a classmate bought a new digital thermometer for her child and tried it on herself a few times with these results: 97.3°f, 98.0°f, 99.0°f, and 97.7°f. calculate her mean temperature.
The mean temperature of her child with the following results 97.3°F, 98.0°F, 99.0°F, and 97.7°F is 98° F
The mean temperature is also known as the average of the temperature taken by her with the digital thermometer. The digital thermometer is used to measure the temperature of the body by placing it either orally or axially.
The mean temperature is calculated as the ratio of the sum of all the temperatures recorded and the number of times the frequency with which temperature is recorded.
It can be written as = [tex]= \frac{T_1+T_2+....T_N}{N}[/tex]
where N is the number of observations
Therefore mean temperature
[tex]=\frac{97.3+98.0+99.0+97.7}{4}\\\\=\frac{392}{4}\\\\[/tex]
=98° F
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Your classmate's mean temperature is 98°F.
Solution - Hi! To calculate the mean temperature of your classmate after using the digital thermometer, follow these steps:
1. Add up the temperatures: 97.3°F + 98.0°F + 99.0°F + 97.7°F = 392°F
2. Count the number of temperature readings: 4
3. Divide the total temperature by the number of readings: 392°F / 4 = 98°F
Your classmate's mean temperature is 98°F.
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at the sea level the plane can takeoff at the speed of 150 mi/hr. what is the required takeoff speed at albuquerque
The indicated airspeed (IAS) of the aircraft should be raised by roughly 2% for every 1,000 feet above sea level, according to a pilot's rule of thumb.
In order to generate enough lift during takeoff from a sea level airport, an aeroplane must attain a specific speed. Less dense air can be found at higher altitudes, such at Albuquerque, where the airport is situated at an altitude of 5,355 feet above sea level.
This necessitates a faster takeoff speed. Generally speaking, the plane's takeoff speed must rise by around 2% for every 1,000 feet of height. Under normal conditions and with conventional aeroplane characteristics, the estimated necessary takeoff speed at Albuquerque would be roughly 166 miles per hour.
The indicated airspeed (IAS) of the aircraft should be raised by roughly 2% for every 1,000 feet above sea level, according to a pilot's rule of thumb.
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higher takeoff speed to generate enough lift to take of
The required takeoff speed at Albuquerque would depend on several factors such as altitude, temperature, and runway length. If Albuquerque is at a higher altitude than sea level, the air is less dense and the plane would require a higher takeoff speed to generate enough lift to take off.
Additionally, if the temperature is higher, the air is less dense and the plane would also require a higher takeoff speed. The length of the runway at Albuquerque would also play a role in determining the required takeoff speed. Without more specific information, it is difficult to provide an exact answer to your question.
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A 0. 300 kg
toy car moving with a speed of 0. 820 m/s
collides with a wall. The figure shows the force exerted on the car by the wall over the course of the collision
The negative sign indicates that the force is exerted in the opposite direction to the motion of the car. This force is applied over a short time interval and is relatively large, causing the car to experience a significant deceleration during the collision.
During the collision, the toy car experiences a change in momentum. Since momentum is conserved in the absence of external forces, the momentum of the car before the collision must be equal in magnitude and opposite in direction to the momentum after the collision.
The initial momentum of the car is given by:
p = mv = 0.3 kg * 0.82 m/s = 0.246 kgm/s
After the collision, the car comes to a stop, so its final momentum is zero. Therefore, the change in momentum is:
Δp = p_final - p_initial = -0.246 kg*m/s
The force exerted by the wall on the car during the collision can be calculated using the impulse-momentum theorem
J = Δp = FΔt
where J is the impulse, Δt is the time interval over which the force is applied, and F is the force
From the figure, we can see that the time interval for the collision is approximately 0.020 s. Therefore, the force exerted by the wall on the car is: F = Δp / Δt = -0.246 kg*m/s / 0.020 s = -12.3 N
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what does the technique of interferometry allow?what does the technique of interferometry allow?it allows two or more telescopes to obtain a total light-collecting area much larger than the total light-collecting area of the individual telescopes.it allows us to determine the chemical composition of stars.it allows two or more telescopes to obtain the angular resolution of a single telescope much larger than any of the individual telescopes.it allows the same telescope to make images with both radio waves and visible light.it allows astronomers to make astronomical observations without interference from light pollution.
The technique of interferometry allows two or more telescopes to obtain the angular resolution of a single telescope much larger than any of the individual telescopes.
This is achieved by combining the signals received by the telescopes to create a single image with a higher resolution. Interferometry is especially useful for studying objects with small angular sizes, such as stars and planets.
Additionally, interferometry allows astronomers to make astronomical observations without interference from light pollution, as it can separate the signals from the object being observed from the background light.
However, interferometry does not directly determine the chemical composition of stars, although it can provide information about their temperature and other physical properties.
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