The density of the of the olive oil, given that it has a mass of 690 grams and a volume of 750 cm³ is 0.92 g/cm³
How do I determine density of the olive oil?We know that density is defined as mass per unit volume. It is expressed as:
Density = mass / volume
Thus, with the above formula, we can determine the density of the oliver oil as illustrated below:
Mass of olive oil = 690 gVolume of olive oil = 750 cm³ Density of olive oil = ?Density = mass / volume
Density of olive oil = 690 / 750
Density of olive oil = 0.92 g/cm³
Therefore, we can conclude that the density of the olive oil is 0.92 g/cm³
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if a block of material has a mass of 16 grams and a volume of 8 cubic centimeters, what is its density?
If a block of material has a mass of 16 grams and a volume of 8 cubic centimeters, then density is 2 grams per cubic centimeter.
Density = mass / volume
Density = 16/8 = 2 grams per cubic centimeter.
The substance's mass per unit of volume is its density (also known as specific mass or volumetric mass density). The Latin letter D can also be used to represent density, however the most common symbol is (the lower case Greek letter rho). According to mathematics, density is determined by dividing mass by volume, where denotes the density, m denotes the mass, and V denotes the volume. Although it is incorrect scientifically - this amount is more precisely known as specific weight – in some circumstances (for example, in the US oil and gas business), density is roughly described as its weight per unit volume.
Density and mass concentration have the same numerical value for a pure substance. Varied materials often have different densities, therefore purity and buoyancy may both be affected by density.
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can baseball bat kill? a baseball bat hits the ball with variable force. the ball weighs 0.145 kg and comes toward and (after hit) away from the batter both with 40 m/s, in opposite directions. find the maximum force fmax from the bat
The maximum force (Fmax) from the bat which hits the ball with a speed of 40 m/s of weight 0.145kg is 5.8 N.
What is force?A push or pull that an object experiences as a result of interacting with another item is known as a force. Every time two items interact, a force is exerted on each of the objects. The force is no longer felt by the two objects when the interaction ends. Only when there is interaction do forces actually exist.
Given,
mass of ball is 0.145 g.
speed of ball after being hit is 40 m/s.
maximum force =?
time taken to hit the ball be 1 s
By using the formula, F = ma
where,
F = force from the bat
m = mass of the ball
a = acceleration of the ball
But,
a = s/t
where,
s = speed of the ball being hit
t = time taken
F = ms/t
F = 0.145 x 40 / 1
F = 5.8
∴ force from bat is 5.8 N.
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an object with mass 3.1 kg is executing simple harmonic motion, attached to a spring with spring constant 260 n/m . when the object is 0.019 m from its equilibrium position, it is moving with a speed of 0.65 m/s . part a calculate the amplitude of the motion. express your answer to two significant figures and include the appropriate units.
The amplitude of the motion is A = 7.3*10⁻²m and the maximum speed attained by the object Vmax=0.66 m/s
speed v= 0.65 m/s
Angular speed is ω,
ω = √k/m=√260/3.1=9.15 s⁻¹
Amplitude = A is
A = √x²+v²/ω²
=√0.019²+0.65²/9.15²=0.073m
A=7.3*10⁻²m
Vmax=ωA=9.15*0.073
Vmax=0.66 m/s
The distance in amplitude between the wave's resting position and its highest movement. quantity of waves travelling by a particular point each second. The length of time it takes for one wave cycle to end. We experience loudness or volume as a function of the relative strength of the sound waves (transmitted vibrations).Amplitude is a tool for studying data on user behavior. It helps the growth, product, and marketing teams make decisions by drawing conclusions about user behavior from data. Understanding user behavior better can assist a business in developing fresh approaches to increase user engagement, customer loyalty, and income.
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3) A block with an unknown mass rests on a rough table. Attached to the mass is a
string which is attached to a 12 kg mass that hangs over the edge of the table via a
pulley. The coefficient of friction is 0.35. When released from rest, the system
reaches a speed of 8 m/s after traveling a distance of 6 m.
a. Calculate the acceleration of the system.
b. What equation can you use to represent the force of friction acting on the
unknown mass.
c. Write out Newton's Second Law and solve for the unknown mass.
a. The acceleration of the system is 0.21 m/s^{2}
b. The equation of the force of friction is -
tension force - force of friction = unknown mass x its acceleration and force of friction is equal to product of coefficient of friction and normal force acting on unknown mass .
c. Newton's second law of motion applies when there are unbalanced forces acting on an object. According to the second law, the mass and the net force acting on the object both affect how quickly an object is accelerating . An object's acceleration is directly proportional to the net force applied and inversely proportional to the object's mass. An object's acceleration increases as the amount of force exerted on it does. A decreasing acceleration is caused by an increase in an object's mass.
The unknown mass is nearly equal to 30 kg .
What is acceleration ?
the rate at which the speed and direction of a moving object vary over time is termed as acceleration . An object going straight ahead when it accelerates or decelerates, is said accelerated. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. Both effects contribute to the acceleration for all other motions.
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Question 3 of 5
The image shows a school of fish being located using sonar.
Which two measures are needed to calculate the distance between the fish
and the ship?
A. The number of sound waves emitted from the ship
B. The speed of sound waves
C. The amount of time it takes sound waves to travel to the fish and
back
D. The size of the ship
Answer:
Explanation:
b
Answer: The correct answers are B and C. :)
Explanation:
For general projectile motion with no air resistance, the horizontal component of a projectile's acceleration
For general projectile motion with no air resistance, the horizontal component of a projectile's acceleration is: E. is always zero.
What is projectile motion?Projectile motion can be defined as a form of motion which is experienced by a physical object that is projected near planet Earth's surface while moving along a parabolic (u-shaped curve) path, and under the influence of a gravitational force only.
Based on scientific research and records, we can infer and logically deduce that the initial horizontal velocity of an object undergoing a projectile motion is always equal to its final horizontal velocity.
Additionally, the horizontal component of the acceleration of a physical object that is undergoing a projectile motion is always equal to zero (0) meter per seconds square because it is experiencing a constant velocity.
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Complete Question:
For general projectile motion with no air resistance, the horizontal component of a projectile's acceleration
A. remains a non-zero constant
B. continuously decreases
C. continuously increases
D. first decreases and then increases
E. is always zero
a ball is shot from the ground straight up into the air with initial velocity of 41 ft/sec. assuming that the air resistance can be ignored, how high does it go?
A ball is shot from the ground straight up into the air with initial velocity of 41 ft/sec. It takes 1.28 sec to reach its its maximum height of 26.27feet.
a ball is shot straight up into the air with initial velocity of 41ft/sec
S = [tex]S_{0} +V_{t} - 16t^{2}[/tex]
height [tex]S_{0} = 0[/tex]
velocity [tex]V_{0}[/tex] = 41ft/sec
S= 0+41t- 16[tex]t^{2}[/tex]
S = 41t -16[tex]t^{2}[/tex]
instantaneous velocity v
V = ds/dt = [tex]V_{0}[/tex]- 32t
V = 41-32t
32t = 41
t = 41/32 = 1.28 sec.
S = 41t-16[tex]t^{2}[/tex]
= 41 ( 1.28)- 16 [tex](1.28)^{2}[/tex]
= 52.48 - 26.21
= 26.27
What is velocity?The pace at which an object's position changes in relation to a frame of reference and time is what is meant by velocity. Although it may appear sophisticated, velocity is just the act of moving quickly in one direction. Since it is a vector quantity, the definition of velocity requires both magnitude (speed) and direction. Its SI equivalent is the meter per second (ms-1). A body is considered to be accelerating if the magnitude or direction of its velocity changes.
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if the average speed of a helium atom at a certain temperature is 1110 m/s, what is the speed in miles per hour? (1 mi
Answer:
About 2483 miles per hour.
Explanation:
Check out the image.
heat generated by cars, factories, furnaces, lights, air conditioners, and heat-absorbing dark roofs and streets help create what is known as a(n) in the central city.
The heat generated by cars, factories, furnaces, lights, air conditioners, and heat-absorbing dark roofs and streets helps create an urban heat island in the central city.
An urban heat island arises while cities update the herbal land cowl with dense concentrations of pavement, homes, and other surfaces that soak up and keep the warmth. This effect increases power costs (e.g., for aircon), air pollutants stages, and warmth-related illness and mortality.
Heat islands form as plants are replaced by asphalt and urban for roads, homes, and other systems necessary to deal with growing populations. those surfaces soak up—rather than replicate—the sun's warmth, causing floor temperatures and basic ambient temperatures to rise.
An urban heat island happens when a city experiences much warmer temperatures than close rural areas. The difference in temperature between urban and less-evolved rural regions has to do with how properly the surfaces in each surrounding absorb and keep warm.
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what additional information is most important for them to add to the graph to best explain the work they've done?
Text is helpful for guiding the viewer and assisting with understanding. The graph's text provides extra details. In graphs, there are two different sorts of text: text that appears around the data regions.
In mathematics, a graph is a visual representation of any data that has been organized. The graph depicts the link between the various variables. The set of items that are somehow related to one another is represented by the graph in a graph theory.
A report can include numerous data regions. Data regions expand to hold the information from the report dataset to which they are associated. For instance, a matrix that shows annual sales for each product has a row group based on the names of the products and a column group based on the years.
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suppose you photographed earth's dark side from space, using ultraviolet-sensitive film, and using infrared-sensitive film. what would you expect to see in the photo?
The infrared image would reveal radiation coming from all around Earth, whereas the ultraviolet image would only show artificial sources like lighting.
What purposes does infrared serve?There are numerous uses for infrared. Heat sensors, thermal imaging technology, and night vision gear are some of the most popular. Infrared light is used in both wired and wireless communications and networking operations.
To avoid Earth's atmosphere and obtain a clearer view of the planets, stars, and galaxies that we are studying, space telescopes are primarily launched into orbit. Only some light can enter our atmosphere because it acts as a barrier, blocking all other light.
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an electron traveling due north enters a region that contains a uniform magnetic field that points due east. in which direction will the electron be deflected?
An electron moving north will slow down and eventually reverse its direction if it enters an electric field that points north.
What is a uniform magnetic field?Parallel straight lines that are evenly spaced apart represent a homogenous magnetic field. The direction that a tiny magnet's north-seeking pole points indicates the flux direction. The flux lines form closed loops and are continuous.While the magnetic field around a bar magnet is not uniform, the lines of the Earth's magnetic field are uniform (parallel and equally spaced) (neither parallel nor equidistant).If the magnetic field's lines are parallel, the magnetic field's strength will be the same at every point, meaning the field's strength will remain constant. We are able to create a consistent magnetic field by creating a relatively long cylindrical coil.To learn more about uniform magnetic field refer to:
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Calculate the initial velocity of a ball thrown vertically into the air reaching a maximum
height of 20 m. (Don't forget: at maximum height the final velocity is zero and the
acceleration is -10 m/s²)
The initial velocity of the ball thrown vertically into the air reaching a maximum height is 20 m/s.
What is velocity?
Velocity can be defined as the ratio of displacement to time.
To calculate the initial velocity of the ball, we use the formula below.
Formula:
v² = u²+2gh............... Equation 1Where:
v = Final velocityu = Initial velocityg = Acceleration due to gravityh = HeightFrom the question,
Given:
v = 0 m/sg = -10 m/s²h = 20 mSubstitute these values into equation 1
0² = u²+[2×20×(-10)]-u² = -400u² = 400u = √400u = 20 m/sHence, the initial velocity of the ball is 20 m/s.
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A person shakes a sealed, insulated bottle containing coffee for a few minutes. What is the change in the temperature of the coffee?.
A person shakes a sealed, insulated bottle containing coffee for a few minutes, then the change in the temperature of the coffee increases slightly.
What happens when insulated bottle with coffee is shaken?The temperature of the coffee increases when insulated bottle is sealed and shaken because the exchange of heat from the surrounding from the thermos bottle is zero. From the first law of thermodynamics, the work done on system is equal to the change in internal energy.
As thermos flask is insulated, therefore no heat energy is added to the system,
Therefore, △Q=0
Work is done by shaking it against viscous force.
Now, △w=−ve
Internal energy , △U=△Q−△w=0−(−△w)
△U=+△w
So, △U=+ve
Hence, temperature of the system increases due to the increase in internal energy.
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A rock is thrown vertically downward from a
building with an unknown initial (1-d) velocity.
If the rock hits the ground after 3.50 s, with a
final (1-d) velocity of -50.0 m/s, what was the
initial (1-d) velocity of the rock?
[?] m/s
Signs: Define "up" positive, "down" negative.
The initial velocity is -25m/s.
What is velocity?
Velocity, which is a vector quantity, is referred to as the "pace at which an item changes its position." Imagine someone moving quickly, constantly going back to their starting position after taking one step forward. The velocity would be zero, even though there might be a frenzy of activity as a result.
What is acceleration?
Acceleration is the rate at which the direction and speed of motion change over time. Anything is said to have been accelerated when it moves straighter and faster or slower. Motion on a circle accelerates even though the speed is constant because the direction is constantly changing.
Is up in physics positive or negative?
If you choose to make the upward direction negative and the downward direction positive (the commonly accepted convention), then g will be positive if the object is stationary or moving downwards. If an object is moving upward, g will be negative.
Therefore, the initial velocity is -25m/s.
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the maximum speed of a 3.00-kg object in simple harmonic motion is 4.00 m/s. the maximum acceleration of the object is 5.00 m/s2. what is the period of simple harmonic motion?
The period of a 3.00kg object moving in a simple harmonic motion is 5.02s
Simple harmonic motion is a system where the object oscillates around the equilibrium position.
Based on the theorem, there are some formulas:
x(t) = A.cos t (ωt+∅)
x max = A
v max = Aω
a max = Aω²
ω = 2π/T = 2πf
From the question, we got some informations:
m = 3.00kg
v max = 4.00 m/s
a max = 5.00 m/s²
T = ?
We will use the formula for a max and v max to find the value of ω:
v max = Aω
v max = 4.00 m/s
Aω = 4.00 m/s ...(i)
a max = Aω²
5.00 = v max (ω)
5.00 = 4.00ω
ω = 1.25 rad/s ..(ii)
Next, we will use the Period formula:
ω = 2π/T
1.25 = 2π/T
T = 1.6π s
T = 5.02s
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Two asteroids with masses 3. 71 x 105 kg and 1. 88 x 104 kg are separated by
a distance of 1,300 m. What is the gravitational force between the asteroids?
Newton's law of gravitation is F.
gravity
Gm m2. The gravitational constant
Gis 6. 67 x 10-11 N-m2/kg?.
The gravitational force between the asteroids with masses 3. 71 x 10^5 kg and 1. 88 x 10^4 kg are separated by a distance of 1,300 m is 27.5 * 10^-8 N
F = G m1 m2 / r²
F = Gravitational force
m1 , m2 = Masses
r = Distance between m1 and m2
m1 = 3.71 * 10^5 kg
m2 = 1.88 * 10^4 kg
r = 1300 m
G = 6.67 * 10^-11 N m² / kg²
F = 6.67 * 10^-11 * 3.71 * 10^5 * 1.88 * 10^4 / 1300²
F = 46.52 * 10^-2 / 169 * 10^4
F = 27.5 * 10^-8 N
According to Newton's law of gravitation, any matter in the universe attracts another matter with a force. This force of attraction is directly proportional to the product of their masses and inversely proportional to the square of distance between them.
Therefore, the gravitational force between the asteroids is 27.5 * 10^-8 N
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the base of an aluminum block, which is fixed in place, measures 90 x 90 cm. the height of the block is 60cm. a force, applied to the upper force and parallel to it, produces a shear strain of 0.0060. the shear modulus of aluminum is 3.0 x 10^10 pa. what is the displacement
The displacement of an aluminum block, which is fixed in place, measures 90 x 90 cm with a height of 60 cm is 0.36 cm
S = Shear ε / Shear γ
S = Shear Modulus
ε = Stress
γ = Strain
S = 3 * [tex]10^{10}[/tex] Pa
Shear γ = 0.006
Shear ε = S * Shear γ
Shear ε = 3 * [tex]10^{10}[/tex] * 0.006
Shear ε = 1.8 * [tex]10^{8}[/tex]
Shear ε = 180 MPa
Displacement = Shear ε * l
l = Length = 60 cm
Displacement = 0.006 * 60
Displacement = 0.36 cm
Therefore, the displacement of the upper phase aluminum block is 0.36 cm in the direction of applied force.
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what is the direction of the induced current in the loop when the loop is above the solenoid, moving downward?
The direction of the induced current in the loop will be clockwise.
What is induced current?The current brought on by the electromagnetic induction phenomena is known as the induced current.Electric power generation depends heavily on electromagnetic induction. It can be used for many things. After conducting numerous tests in his London lab for more than ten years, Michael Faraday made his discovery of electromagnetic induction in 1831.The size of the induced EMF is proportional to the rate of change of the magnetic field in which the wire is situated, according to Faraday's second law of induction.[tex]e = -N*\frac{1}{dt}[/tex]ФWhere "e" denotes the intensity of the induced emf, "Ф" denotes the quantity of magnetic flux connecting the coil, and "N" is the coil's number of turns. The induced current will flow in a direction that opposes the change in the magnetic field, according to the negative sign.To learn more about induced current, refer to
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(a) how many minutes does it take a photon to travel from the sun to the earth? (b) what is the energy in ev of a photon with a wavelength of 558 nm? (c) what is color of light with this wavelength? (d) what is wavelength of a photon with an energy of 1.00 ev? please show the solution.
To known about all the answers, we first known about the photon and wavelength concept.
What is a photon?
A tiny energy packet of electromagnetic radiation is called a photon, referred to as a light quantum. Albert Einstein proposed the existence of discrete energy packets during the transmission of light in his 1905 description of the photoelectric effect, which gave rise to the photon concept.
What is wavelength?
A waveform signal's wavelength is the separation between two identical points (adjacent crests) in adjacent cycles as the signal travels through space or along a wire. This length in wireless systems is typically specified in meters (m), centimeters (cm), or millimeters (mm).
a) Distance between the earth and the sun is
1.5*10^N
Speed of photon = 3*10^8m|s
Time= distance/speed
= 1.5*10^11m/3*10^8m|s
= 0.5*10^3 second
= 500 sec
= 8.3 minutes.
b) energy of the photon is given by
E=hc/⋋
h= planks constant – 4.14* 10^15 eVs
c= Speed of light- 3*10^8 m/s
⋋= 558 nm= 558* 10^9 m
E= 4.14* 10^15 eVs* 3*10^8 m/s /558* 10^9 m
E= 2.23 eV
c) Wavelength color
495–570 nm for green. 570–590 nm for yellow. Orange (590–620 nm). Red: 620-750 nm
d) Let the wavelength be ⋋
We know E=hc/⋋
1 eV= 4.14*10^-15 eVs* 3*10^8m/s/⋋
⋋ = 12.42*10^-7m
⋋ = 1242 nm.
Therefore, Distance between the earth and the sun is 8.3 minutes. Energy of the photon is given by 2.23 eV. Wavelength color is green or yellow. The wavelength be ⋋ is 1242 nm.
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please someone help me derive v²/r in Simple Harmonic Motion
Using Ohm's Law and the power formula, V² / R is derived.
What is Harmonic motion?Simple harmonic motion is a particular kind of periodic motion in which the restoring force on the moving item is directly proportionate to the size of the displacement and acts in the direction of the object's equilibrium position. The force driving the movement is always pointed in the direction of the equilibrium position and is inversely proportional to the separation from it. F = kx, where F is the force, x is the displacement, and k is a constant, is what this means. Hooke's law is the name of this relationship. This varying acceleration, which is always pointed in the direction of the equilibrium position and is proportionate to the displacement from the equilibrium position, is what distinguishes simple harmonic motion.
Power(P) = Potential difference (V) × Current (I)
So
Now by ohm's law
I =V/R
On substituting the value of current in the equation
P=VI
We get
P= V × V/R
P=V² / R
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why are measurements of the current density of the universe important? the overall density of the universe is the main clue that can allow us to choose between open, closed, and flat models of the universe. the overall density of the universe is the main clue that can allow us to tell where the center of the universe is. the overall density of the universe is the main clue that can allow us to tell whether the universe is isotropic or homogeneous. the overall density of the universe is the main clue that can allow us to tell how quickly the universe is collapsing. need help?
The primary indicator that can help us distinguish between open, closed, and flat universe models is the universe's overall density.
What is meant by current density?Current density, which is measured in amperes per square meter, is the quantity of electric current flowing through a unit of cross-sectional area. The current density will increase as the conductor's current increases.The total amount of current flowing through one unit of a cross-sectional area is referred to as current density. If the current flow is uniform, it will flow through a particular conductor with the same amount at all of its points, regardless of how the conductor's area changes.The measurements of the current density of the universe important to the primary indicator that can help us distinguish between open, closed, and flat universe models is the universe's overall density.To learn more about current density refer to:
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consider a monochromatic electromagnetic plane wave propagating in the z direction. at a particular point in space, the magnitude of the electric field has an instantaneous value of 442 v/m in the positive x-direction. what is the instantaneous magnitude of the poynting vector at the same
The instantaneous magnitude of the poynting vector will be 518.48.
To calculated magnitude of the poynting vector, we require to use the formula of poynting vector
S = E*B/u
since B = E/c
so , S = E^2 /uc
where , E is the electric field and B is the magnetic field ,
S is the poynting vector magnitude and c is the speed of light.
Putting the values, we get
S = (442x442) /uc
S = 195364 / uc
uc = 4πx[tex]10^{-7}[/tex] x 3 x [tex]10^{8}[/tex]
uc = 376.8
Now, S = 195364/376.8
S = 518.48
Hence The instantaneous magnitude of the poynting is 518.48.
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What percent of the world’s earthquakes occur around the pacific rim/ring of fire?.
The percent of the world’s earthquakes occurring around the pacific rim/ring of fire will be 90%.
The Ring of Fire is home to more than 450 volcanoes or 75% of all volcanoes on Earth. The majority of earthquakes that occur on Earth, including the most intense and spectacular seismic occurrences, ever recorded, happen along its course. The region of earthquakes encircling the Pacific Ocean is known as the "Ring of Fire," also known as the Circum-Pacific belt; it is where 90% of all earthquakes on earth take place.
The extensive movement of tectonic plates in the region is the reason for the high frequency of earthquakes and volcanoes in the Ring of Fire. Plates collide along convergent boundaries known as subduction zones around a large portion of the Ring of Fire. In other words, the plate above pushes down or subducts, the plate below.
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(a) what are the wavelengths of the following frequencies in the am radio band (540-1600 khz)? 560 khz m 1510 khz m (b) what are the wavelengths of the following frequencies in the fm radio band (88.0-108 mhz)?
the wavelength of the following frequencies in the am radio band (540-1600 khz) is 555.55 m,187.5 m
the wavelengths of the following frequencies in the fm radio band (88.0-108 mhz) is 3.409 m,2.7777 m
Wave length λ = c / f
(a). Maximum wavelength = ( 3 * 10 ^ 8 m / s ) / ( 540 * 10 ^3 Hz )
= 555.55 m
minimum wavelength = ( 3 * 10 ^ 8 m / s ) / ( 1600 * 10 ^ 3 Hz)
= 187.5 m
(b). Maximum wavelength = ( 3 * 10 ^ 8 m / s ) / ( 88 * 10 ^ 6Hz )
= 3.409 m
Minimum wavelength = ( 3 * 10 ^ 8 m /.s ) / ( 108 * 10 ^6 Hz )
= 2.7777 m
Wavelength is the separation between identical points (adjacent crests) in successive cycles of a waveform signal traveling through space or over a wire. In wireless systems, this length is typically expressed in meters (m), centimeters (cm), or millimeters (mm). The wavelength is more frequently described in nanometers (nm), which are units of 10-9 m, or angstroms (), which are units of 10-10 m, for infrared (IR), visible light (VL), ultraviolet (UV), and gamma radiation().
Frequency, or the number of wave cycles per second, and wavelength have an inverse relationship. The wavelength of the signal decreases with increasing frequency. The pattern of disruption brought on by energy moving through a medium is known as a sound wave.
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Insulators can by charged only by this method
a. Induction
b. Conduction
c. Friction
Insulators can by charged only by friction.
An electrical insulator is a cloth wherein electric powered modern-day does no longer drift freely. The atoms of the insulator have tightly certain electrons which can not quite simply move. Other substances—semiconductors and conductors—conduct electric modern greater effortlessly.
Insulators are used in electric system to help and separate electrical conductors with out allowing current thru themselves. An insulating material utilized in bulk to wrap electrical cables or other gadget is known as insulation. The time period insulator is likewise used greater specially to consult insulating supports used to utility poles and transmission towers.to attach electric powered strength distribution or transmission lines
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how large an angular acceleration must a wheel have is it is to acceleration from rest to 460rad/s after 5rev ?
The angular acceleration of the wheel is 3,367.28 rad/s².
What is the angular acceleration of the wheel?The angular acceleration of the wheel is calculated by applying the first kinematic equation as shown below.
ωf² = ωi² + 2αθ
where;
θ is the angular distance of the wheelω is the initial angular velocity of the wheelα is the angular acceleration of the wheelωf is the final angular velocityThe given parameters include the following;
angular distance of the wheel, θ = 5 rev = 5 rev x 2π rad/rev = 10π rad = 31.42 radthe initial angular velocity of the wheel, ω = 0the angular acceleration of the wheel, α = ?the final angular velocity, ωf = 460 rad/sThe angular acceleration of the wheel is calculated as follows;
ωf² = 0 + 2αθ
ωf² = 2αθ
α = ωf² / 2θ
α = ( 460² ) / ( 2 x 31.42 )
α = 3,367.28 rad/s²
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Two forces are applied to a car in an effort to accelerate it, as shown below. The first force, F1 = 310 N, is applied at an angle = 32° to the forward dashed line. The second force, F2 = 464 N, is applied at an angle = 13° to the forward dashed line.
(a) What is the resultant of these two forces?
______N at _____ ° to the _____
(b) If the car has a mass of 2850 kg, what acceleration does it have? (Disregard friction.)
_____m/s2 at ______ ° to the _____
a ) The resultant of these two forces is 715.92 N at 4.4° to the right of the forward dashed line
b ) If the car has a mass of 2850 kg, its acceleration is 0.25 m / s²
Resolving F1 into its vertical and horizontal component,
F1y = F1 cos θ
F1y = 310 * cos 32°
F1y = 263.5 N
F1x = F1 sin θ
F1x = 310 * sin 32°
F1x = 164.3 N
Resolving F2 into its vertical and horizontal component,
F2y = F2 cos θ
F2y = 464 * cos 13°
F2y = 450.1 N
F2x = F2 sin θ
F2x = 464 * sin 13°
F2x = 106.72 N
∑ Fx = F1x - F2x
∑ Fx = 164.3 - 106.72
∑ Fx = 57.58 N
∑ Fy = F1y + F2y
∑ Fy = 263.5 + 450.1
∑ Fy = 713.6 N
R² = ( ∑ Fx )² + ( ∑ Fy )²
R² = ( 57.58 )² + ( 713.6 )²
R² = 3315.46 + 509224.96
R = 715.92 N
tan θ = ∑ Fy / ∑ Fx
tan θ = 713.6 / 57.58
tan θ = 12.39
θ = 85.6° ( With the horizontal )
With the forward dashed line,
θ = 90 - 85.6
θ = 4.4° ( To the right of the forward dashed line )
F = m a
F = Force
m = Mass
a = Acceleration
m = 2850 Kg
a = F / m
a = 715.92 / 2850
a = 0.25 m / s²
Therefore,
a ) The resultant of these two forces is 715.92 N at 4.4° to the right of the forward dashed line
b ) If the car has a mass of 2850 kg, its acceleration is 0.25 m / s²
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A girl riding a bicycle at 2.0 m/s throws a tennis ball horizontally forward at a speed of 1.0 m/s from a height of 1.5 m. At the same moment, a boy standing on the sidewalk drops a tennis ball straight down from a height of 1.5 m.
What is the initial speed of the girl's ball relative to the boy?
WILL GIVE BRAINLIEST
The initial speed of the girl's ball relative to the boy is 3 m/s.
What is the initial speed of the girl's ball?
The initial speed of the girl's ball relative to the boy depends on the time of motion of the girls ball.
The time of motion of the ball from the given height is calculated as follows;
h = vt + ¹/₂gt²
where
v is the initial velocity of the ballt is the time of motion of the ballg is acceleration due to gravityh = 0 + ¹/₂gt²
h = ¹/₂gt²
t = √(2h/g)
t = √(2 x 1.5 / 9.8)
t = 0.55 s
The final velocity of the ball is calculated as;
v = gt
v = 9.8 x 0.55
v = 5.39 m/s
However, since we are looking for the initial speed of the girl's ball relative to the boy, we will ignore the final velocity of the ball.
The initial velocity of the ball = 0
The initial velocity of the girl's ball = 2 m/s + 1 m/s = 3 m/s
The relative velocity = 3 m/s - 0 m/s = 3 m/s
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which of the following is an advantage that liquid water has as a biological solvent compared to other alternatives?
an advantage that liquid water has as a biological solvent compared to other alternatives IS, when it freezes it becomes less dense. it is a liquid over a wide temperature range and remains liquid at higher temperatures. It is able to dissolve many things
WHAT IS A BIOLOGICAL SOLVENT?A solvent is a molecule that has the ability to dissolve other molecules, known as solutes. A solvent can be solid, liquid or gas. The molecules of the solvent work to put the solute molecules apart. Eventually, the molecules of solute become evenly distributed in throughout the solvent. This homogenous mixture is perfectly even, and cannot be separated physically. Heat or another chemical process must be applied to the solution to separate the solvent and solute.
Molecules in general have two classes, polar and nonpolar. Polar molecules have separated electrical charges on different sides of the molecule. Nonpolar molecules, while they can fluctuate in charge, do not carry a static charge. Both es of molecules can act as solvents, as described below.
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