The velocity of the cart on the right that has a mass of 4. 5 kg is 0.09 m/s.
Velocity is the rate of change of distance with respect to time.
It has the SI unit as m/sec.Mass on the left of the cart = m1 = 1.5 kg
on the left of the cart = v1 = 27 cm/s = 0.27m/s
Mass on the right of the cart = 4.5 kg
Velocity on the right of the cart = x
According to the law of conservation of linear momentum:
We can say that.
Initial momentum will equalize the final momentum.
And momentum is the product of mass and its velocity.
Assigning one of its velocity as negative because both are in different direction.
mathematically, (m1*-v1) + (m2v2) = 0
(1.5*-0.27) + (4.4*x) = 0
x = 0.09 m/s
So the velocity of the cart on the right side that has a mass of is 0.09 m/s.
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The displacement of a 500 g mass, undergoing simple harmonic motion, is defined by the function.
When the displacement of a 500 g mass, undergoing simple harmonic motion, is defined by the function : x=-3.5sin(π/2t+(5π)/4).The maximum potential energy is 7.56J
What is simple harmonic motion?Simple harmonic motion, or SHM, is a particular form of periodic motion of a body that results from a dynamic equilibrium between an inertial force that is proportional to the body's acceleration away from the static equilibrium position and a restoring force on the moving object which is directly proportional to the magnitude of the object's displacement and applies towards the object's equilibrium position.
Solution:Given :
k = 1.234N/m
x=3.5
Now by applying the value of spring constant, we can find the maximum potential energy.
PE=[tex]\frac{1}{2} kx^{2}[/tex]
PE=1/2*1.234*3.5^2
PE=7.56J
Hence, The maximum potential energy is 7.56J
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The complete question is :
The displacement of a 500 g mass, undergoing simple harmonic motion, is defined by the function :
x=-3.5sin(π/2t+(5π)/4)
Find maximum potential energy.
How much work is done on a box that is pushed 9 meters across a horizontal floor by a force of 3000N?
The amount of work done by a box that is pushed 9 meters across a horizontal floor by a force of 3000N is 27000J.
How to calculate work?Work in physics refers to the measure of energy expended in moving an object; most commonly, force times distance.
It is said that no work is done if the object does not move. The work done on an object can be calculated by multiplying the force of the object by its distance as follows:
W = F × d
W = 3000N × 9m
Work done = 27,000J
Therefore, 27,000Joules is the work done on the box.
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school cafeteria has thick padding installed along the walls and portions of the ceiling to reduce echoes. Which statement best explains the wave property this padding is taking advantage of?
Refraction, because refracted waves have a lower intensity
Reflection, because reflected waves have a higher intensity
Absorption, because absorbed waves go into the media
Transmission, because transmitted waves move through media
The wave property this padding is taking advantage is reflection, because reflected waves have a higher intensity.
option B is the correct answer.
What is refection of wave?
The reflection of a wave occurs when a travelling hits a hard surface and it is directed backwards.
Also, the reflection of a wave is a process by which a wave, whether light, sound, infrared, or radio waves, hits an object and bounces off it.
An example of reflection of wave is echo.
An echo is a sound caused by the reflection of sound waves from a surface back to the listener.
Thus, to reduce the echo of a sound wave, the school cafeteria had thick padding installed along the walls and portions of the ceiling.
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In a simple pendulum, the weight of the bob can be
divided into two components, one tangent to the
bob's direction of motion and the other perpen-
dicular to the bob's direction of motion. Which of
these is the restoring force, and why?
The tangent component, as it always pulls the bob in the direction of equilibrium (and is not balanced by the tension from the pendulum arm).
What components make into a basic pendulum?Another mechanical mechanism that oscillates is the straightforward pendulum. It consists of a point mass "m" hung from a fixed support by a light, inextensible string of length L. The gravitational force is what causes the motion to move in a vertical plane.
What two factors determine a pendulum's period?The length and gravitational acceleration of a basic pendulum are the only factors that govern its period. Other elements, such mass, have no effect on the time at all.
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A 10-kg object is near a planet's surface, where the gravitational field strength is 4 n/kg. With what force is the planet attracted to the 10-kg object?.
The force with which the planet is attracted to the 10 kg object is calculated to be 4 N.
Given that,
Mass of object = 10 kg
Gravitational field strength = 4 N/kg
Now, let us determine with what force the planet is attracted to the 10 kg object,
Mathematically, the force with respect to the gravitational field strength is given by the formula,
Force = mass × gravitational field strength
Force = 10 × 4
Force = 40 newton
We can conclude that the force with which the planet is attracted to the 10 kg object is 4 Newton.
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A Physical Education (gym) class is playing a game of soccer. During the game, the ball experiences a net force of 0 newtons. Which statement explains what is most likely happening with the ball?
A. It is sitting still.
B. It is bouncing off someone’s knee.
C. It has been kicked across the field.
D. It has been tossed straight up into the air.
When, During the game, the ball experiences a net force of 0 newtons. It is sitting still is the statement explains what is most likely happening with the ball.
What is Net force ?The vector sum of the various or single forces exerted on a particle or object is termed as the net force. The original force's affect on the motion of the particle the force is exerted is replaced by the net force, which is a single force.
Newton:As per the International System of Units, the unit of force is the newton. The force that causes a mass of one kilogram to accelerate by one metre per second is what we call as 1 kgm/s2. It bears Isaac Newton's name in honor of his major contributions to classical mechanics, particularly Newton's second rule of motion.To know more about net force visit
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A large telescope of mass 8410 kg is in a circular orbit around the earth, making one revolution every 927 minutes. What is the magnitude of the gravitational force exerted on the satellite by the earth? (G = 6.67 × 10-11 N ∙ m2/kg2, Mearth = 6.0 × 1024 kg)
The Earth's gravitational pull on the satellite is 651.8 N. Consequently, the satellite's gravitational pull on Earth is 651.8 N. As a result, the spacecraft accelerates at a rate of 1.5 m/s2.
Why does a satellite in a circular orbit not feel the effects of gravity?Centripetal force is used to maintain an object moving in a circle due to gravity. Since gravity always behaves perpendicular to motion, it has no effect on an item in a circular orbit.
Calculation:Mass of Telescope= 8410 kg
revolution in minutes = 927
G = 6.67 × 10-11 N ∙ m2/kg2
Mass of earth = 6.0 × 1024 kg
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way to say about light energy??
Answer:
Light energy is a kind of kinetic energy with the ability to make types of light visible to human eyes. Light is defined as a form of electromagnetic radiation emitted by hot objects like lasers, bulbs, and the sun.
Calculate the charge if the energy transferred is 5. 25 kj and the voltage is 15 volts.
The amount of charge given that the energy transferred is 5.25 kilojoules and the voltage is 15 volts will be 0.35 coulombs.
Charge is a property of matter that describes the amount of electrical energy in a substance. It can be positive or negative, and it is measured in units called coulombs. Objects with the same charge will repel each other, while objects with different charges will attract each other. This is the basis of Coulomb's Law and for how electricity works.
The charge, measured in coulombs (C), can be calculated by using the formula:
charge = energy transferred / voltage
charge = 5.25 kJ / 15 V
charge = 0.35 C
Therefore the charge will be 0.35 coulombs.
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When do a 1000kg car and a 2000kg truck have the same momentum?
When a car has double the speed of the truck
Momentum is calculated by multiplying the mass by the velocity. And we have masses of 1000 kg and 2000 kg and to make the momentum equal velocity needs to be inversely proportional.
Let the velocity of the car be x m/s
momentum (p) = mass * velocity
then momentum is 1000*x
1000x kgm/s
So lets the velocity of the truck be y m/s
the momentum of the truck will be 2000*y
so 2000y kgm/s
by the condition 1000x = 2000y
so on solving
x= y/2
which shows the car has double the velocity of the truck.
So we can conclude to greater momentum we need either velocity or mass needs to be greater or both can be also large to get higher momentum.
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A car leaves a city with a speed of 90 mph. Three hours later and out of the same city another car in pursuit of the first leaves with a speed of 120 mph. Find the time it takes for the second car to reach the first.
Answer:
9 hours
Explanation:
When the 2nd car catches up to the first, both cars will have gone the same distance.
Distance = rate x time
Distance car 1 traveled when car 2 catches up = 90 mph(3 hr + t)
Distance car 2 traveled when it catches up to car 1 = 120t
90(3 + t) = 120t
270 + 90t = 120t
30t = 270
t = 270/30 = 9 hrs
Therefore, 12 hours after car 1 leaves the city and 9 hours after car 2 leaves the same city, they meet up.
To prove it:
90(12) = 120(9) = 1080 Car 2 catches up to Car 1 1080 miles from the city
Air flows steadily along a streamline from point (1) to point (2) with negligible viscous effects. The following conditions are measured: At point (1) z1 = 2 m and p1 = 0 kPa; at point (2) z2 = 10 m, p2 = 20 N/m2 and V2 = 0. Determine the velocity at point (1). Also calculate the change in each form of energy in the Bernoulli equation and describe, in words, the energy gain or loss by each form as the air flows from point (1) to point (2).
The velocity of the air flow at point (1) is 13.8 m/sec. The gravitational potential energy is increasing from point(1) to point(2) by 94.176 joules. The pressure head increased by 1.7 m of air column. Kinetic energy head is decreased by 9.71 m of air column.
Datum head at point (1), z₁ = 2 m
Datum head at point (2), z₂ = 10 m
Pressure at point(1) p₁ = 0 kpa
Pressure at point(2) p₂ = 20 N/m²
Velocity at point(2) v₂ = 0
Velocity at point(1) v₁ = ?
The density of air, ρ = 1.2 kg/m³
By applying Bernoulli's equation,
z₁ + p₁/ρg + v₁²/2g = z₂ + p₂/ρg + v₂²/2g
2 + 0 + v₁²/2g = 10 + 20/(1.2×9.81) + 0
v₁²/2g = 10 + 1.7 - 2
v₁² = 9.7×2×9.81
v₁² = 190.314
v₁ = 13.8 m/sec
Change in gravitational potential energy(ρgΔh) = 1.2×9.81×(10-2)
= 94.176 Joules
Increase in the pressure head = p₂/ρg - p₁/ρg
= 1.7 - 0
= 1.7 m (of air column)
Change in the kinetic energy head = v₂²/2g - v₁²/2g
= 0 - v₁²/2g
= - (13.8×13.8)/(2×9.81)
= -9.71 m (of air column)
Negative sign indicates that the kinetic energy head is decreasing.
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What is true of low resistance wires
Answer:
A. The shorter a wire is, the lower resistance it will have.
100 kg ball is initially traveling at 10 m/s. If the ball experiences a constant external force that increases the ba
velocity to 15 m/s, what is the net impulse that acted on the ball?
the net impulse that acted on the ball =500 N.s if 100 kg ball is initially traveling at 10 m/s. If the ball experiences a constant external force that increases the ba velocity to 15 m/s .
What is an example for force?The normal force acts in a direction normal to the surface interaction between objects. Friction is a force that opposes motion on surfaces. Other examples of non-fundamental forces include the elastic force, tension, and frame-dependent forces .
What does it mean to force someone?to make someone do something that they do not want to do, for example by using or threatening to use violence. force someone to do something: He claims that police officers forced him to sign a confession.
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(i) The mass of snow that falls on the animal is 1.65 kg. The specific latent heat of fusion of
snow is 330000J/kg.
Calculate the thermal energy needed to melt this snow.
The energy that makes up a system's temperature, or thermal energy, is said to be present in the system.The required thermal energy is 2360J.
What is thermal energy ?The energy that makes up a system's temperature, or thermal energy, is said to be present in the system.
Thermal energy is emitted as heat.Thermodynamics, a distinct field of physics, examines how work is accomplished via the transmission of heat between various systems (see the first law of thermodynamics).
Mass of aluminum = 25g
Melting point = 658°C
Latent heat of melting = 94.4j/g
Unknown:
Amount of heat require for melting = ?
The amount of heat required for this melting will be the product of the mass of the aluminum and the latent heat of melting;
H = m L
m is the mass
L is the latent heat of melting
insert the parameters and solve;
H = 25 x 94.4 = 2360J
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How many criteria must a substance meet in order to be considered a mineral
During solar maximum more UV radiation reaches Earth and we experience atmospheric cooling.
A. True
B. False
Answer:
should be false (F)
you don't have to, but I'd like brainliest if you can.
Explanation:
Which is an example of why impuise is so important?
Elevators being hoisted up by a pulley
Using nylon ropes in rock climbing
Running a race around a track
Plane taking off from a runway
Impulse is important because it is the force that changes an object's momentum.
What is momentum?Momentum is a physical concept that describes the movement of an object due to the product of its mass and velocity. Momentum is a vector quantity, meaning it has both a magnitude and a direction. In classical mechanics, momentum is conserved, meaning that the total momentum of a system remains constant over time.
In the examples given, impulse is what allows the elevator to be hoisted up, the nylon ropes to hold a climber's weight, the runner to move around the track, and the plane to take off from the runway. Without impulse, none of these activities would be possible.
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Select the correct answer. Which of these four atoms has the most neutrons?
A. A
B. B
C. C
D. D
D. 36 in Kr
Let's analyze all the elements in Option
A. Se, Selenium is an element of the Oxygen family which have a mass of 78.96 with 34 electrons.B. Br, Bromine is an element a Halogen which a mass of 79.9 with electrons 35.C. Ge, Germanium a semiconductor that has a mass of 72.64 and 32 electrons.D. Kr, Krypton, is an inert gas that has a mass of 83.79 and 36 electrons.By looking at all the given options we can clearly see that Krypton has the highest number of electrons as compared to the given options so It is the answer. Also with the highest mass, in the given four options.
It can be easily seen in options as the Number of electrons and mass is already written in options.
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Natural gas-fired generation of power is among the primary sources of energy production in NC. Explain what it is.
energy the top states in the nation for nuclear power electricity production is North Carolina. The contributions of natural gas-fired energy over the previous ten years.
What is the primary energy source in North Carolina?nuclear energy Nuclear energy contributed for 33% of North Carolina's net generation in 2021, placing the state in the top five states for production. North Carolina was one of the top ten states in 2020 for both total annual motor fuel spending and petroleum consumption.
What is the main source of production of primary energy?one of the main ways to produce energy is through the combustion of natural gas. Describe it in detail.Sunlight is the principal energy source on Earth's surface and can.As the effects of global warming worsen, North Carolina must go nuclear. Nuclear energy will become the best solution for clean, dependable, and economical electricity, and recent state legislation compels Duke Energy to dramatically cut carbon emissions by 2030.
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A delivery man lifts a package with a 12 N force at a constant velocity. If the package is lifted from the ground to the mailbox 1.9 m and the delivery man exerts 16 W of power, then
a. What is the work done?
b. How much time does it take him to lift it?
A 2800 kg car exerts a constant force of 20,000 N while traveling across 50 m. Assume the car
starts from rest.
a. How much work is done by the car?
b. How much power is exerted by the car, in Watts?
With the use of formulas, For the first question, W = 22.8 J, Time = 1.43 s. For the second question, W = 1000000J, P = 534,522.48 Watts
What is Power ?Power can simply be defined as the rate at which work is done. It is measured in Watt.
Given that a delivery man lifts a package with a 12 N force at a constant velocity. If the package is lifted from the ground to the mailbox 1.9 m and the delivery man exerts 16 W of power, then
a. the work done W = F × S
W = 12 × 1.9
W = 22.8 J
b. The time taken to lift it can be found by using power formula
P = W/t
16 = 22.8/t
t = 22.8/16
t = 1.43 s
Given that a 2800 kg car exerts a constant force of 20,000 N while traveling across 50 m. Assume the car starts from rest.
a. Work W done by the car = F × S
W = 20000 × 50
W = 1,000,000 J
b. To know how much power is exerted by the car, let us first find the speed of the car.
K.E = Work
1/2mv² = F × S
1/2 × 2800 × v² = 1000000
1400v² = 1000000
v² = 1000000/1400
v² = 714.28
v = √714.28
v = 26.7 m/s
Power P = F × V
P = 20000 × 26.73
P = 534,522.48 Watt
Therefore, the power exerted by the car is 534,522.48 Watts
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A penny i dropped off the top of the Statue of Liberty, 93 m tall. What i the peed of the penny after 2. 5 econd (auming no air reitance)?
The speed of the penny after 2.5 seconds is 25 m/s. The result is obtained by using the equation in uniformly accelerated straight motion.
What is uniformly accelerated straight motion?A uniformly accelerated straight motion is a motion of an object moving with acceleration or deceleration in a straight line.
The equations apply in vertical dimension are
v₁ = v₀ + gt
v₁² = v₀² + 2gh
h = v₀t + ½ gt²
Where
v₀ = initial velocityv₁ = final velocityg = acceleration due to gravityt = timeh = height of objectA penny is dropped off the top of the Statue of Liberty, 93 m tall.
Find the speed of the penny after 2.5 second! (assuming no air resistance)
A dropping off penny has an initial speed of 0.
v₁ = 0
We used g = 10 m/s.
So, the speed at time t = 2.5 s would be
v₁ = v₀ + gt
v₁ = 0 + 10(2.5)
v₁ = 25 m/s
Hence, after 2.5 seconds, the penny will have the speed of 25 m/s.
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Solve the following question using the concepts of work and energy: A giant alien invader is devastating humanity and having a nice day when he sees Captain America 100 m away holding an ice cream. He decides to attack Captain America because the ice cream looks quite tasty. The alien has a mass of 6.32x104 kg and is moving with a constant velocity of 26 m/s forward. To save Captain America, The Hulk rushes over and pushes back on the alien, which results in a net backward force of 2.43x105 N on the alien. If the alien was 100 m away from Captain America when The Hulk started to push, will Captain America survive? What distance does the Hulk take to stop the alien?
Yes, Captain America will survive.
The distance the Hulk takes to stop the alien is 87.9 m.
What is the distance travelled by Hulk?
The distance travelled by the Hulk is calculated by applying the principle of work-energy theorem.
Work done by Hulk = Kinetic energy of the alien
Fd = K.E
Fd = ¹/₂mv²
where;
f is the resultant force of Hulkd is the distance travelled by Hulkv is the velocity of the alienm is mass of the aliend = ( mv² ) / ( 2F )
The distance travelled by Hulk is calculated as;
d = ( 6.32 x 10⁴ x 26² ) / ( 2 x 2.43 x 10⁵ )
d = 87.9 m
Hence, Captain America will survive since the distance travelled by Hulk when he is pushing the alien back is 87.9 m, which is less than 100 m where Captain America is.
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I need help on how to do the graph
Some general tips for creating graphs include:
1. Choose the type of graph that best illustrates your data.
2. Organize your data in a way that makes sense and is easy to read.
3. Label your graph clearly so readers can understand what the graph is trying to convey.
4. Use colors and symbols to make the graph more visually appealing.
5. Use a grid to ensure that the graph lines are straight and even.
6. Double-check your graph to make sure all of the data is accurate.
What is graph?
Graph is a pictorial representation of data or information. It is a way of visually displaying data points in a way that is easy to understand and interpret. By using graphs, we can compare different sets of data, identify relationships between different data points, and easily spot trends and patterns.
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in trial 1 of an experiment, a cart moves with speed v0 on a frictionless, horizontal track and collides elastically with another cart that is initially at rest. in trial 2, the setup is identical except that the carts stick together during the collision. how does the speed of the two-cart system’s center of mass change, if at all, during the collision in each trial?
In trial 1, the speed of the center of mass does not change, while in trial 2, the speed of the center of mass decreases.
In trial 1, the carts collide elastically, which means that the total kinetic energy of the system is conserved during the collision. The two carts will bounce off each other with the same kinetic energy that they had before the collision. Since the center of mass is a point of reference for the total kinetic energy of a system, and its speed is related to its kinetic energy, the speed of the center of mass does not change during the collision. The final kinetic energy of the two-cart system after the collision is the same as the initial kinetic energy. The two carts will move away from each other with the same speed they had before the collision.
In trial 2, the collision is inelastic, which means that some of the kinetic energy is converted into internal energy, this causes the total kinetic energy of the two-cart system to decrease. Since the center of mass is a point of reference for the total kinetic energy of a system, and speed is related to kinetic energy, the decrease in total kinetic energy causes a decrease in the speed of the center of mass. As the carts stick together after the collision, the final speed of the two-cart system is lower than the initial speed. The final speed of the two-cart system after the collision is slower than the initial speed of the first cart.
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Your question seems to be incomplete, but I assume the question was:
"In trial 1 of an experiment, a cart moves with speed v0 on a frictionless, horizontal track and collides elastically with another cart that is initially at rest. In trial 2, the setup is identical except that the carts stick together during the collision. How does the speed of the two-cart system's center of mass change, if at all, during the collision in each trial?"
A mixture of gasoline vapor and air is placed in an engine cylinder. The piston has an area of 7.4 × 10^−3 m^2 and is displaced inward by 7.2 × 10^−2 m. If 9.5 × 10^5 Pa of pressure is placed on the piston, how much work is done during this process? Is work being done on or by the gas mixture?
The work done during the process is 506.2 J.
What is the work done during the process?
The work done during the process is calculated by applying the following equation.
W = PΔV
W = P ( Vf - Vi )
where;
P is the constant pressure of the systemVf final volume of the systemVi is the initial volume of the systemThe final volume of the system is calculated as follows;
Vf = A x h
Vf = 7.4 x 10⁻³ m² x 7.2 x 10⁻² m
Vf = 5.33 x 10⁻⁴ m³
W = 9.5 x 10⁵ Pa x ( 5.33 x 10⁻⁴ m³ - 0 )
W = 506.2 J
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When you eat a healthy snack, what does the process of digesting that snack involve?
Question 9 options:
breaking down food
rejecting insulin
discarding nutrients
movement through the blood
If a 40 kg object has a momentum of 400 Kgm/s, how fast is it traveling
The object is traveling at 10 m/s.
Momentum is defined as the product of an object's mass and velocity. The formula for momentum is:
p=mv
where,
p = momentum
m = mass
v = velocity
We can use this formula to find the velocity of an object given its momentum and mass. To solve for velocity, we can divide both sides of the equation by mass:
velocity = momentum/mass
In this case, the object has a mass of 40 kg and a momentum of 400 Kgm/s, so we can plug in these values to find the velocity:
velocity = 400 Kgm/s / 40 kg = 10 m/s
Therefore, the object is traveling at 10 m/s.
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Please explain how to do this
slope is zero therefore velocity will be 0 at B to C .
If a 14.26kg block is sliding down a ramp with a 41 degree incline at 2.361 m/s^2, what is the value of the coefficient of kinetic friction? PART D
The value of the coefficient of kinetic friction is 0.32.
What is the value of coefficient of friction?
The value of the coefficient of friction is calculated by applying Newton's second law of motion as shown below.
Ff = ma
where;
Ff is the force of frictiona is the acceleration of the blockm is the mass of the blockμmg cosθ = ma
μg cosθ = a
μ = a / ( g cosθ )
where;
a is the acceleration of the blockg is acceleration due to gravityθ is the angle of inclination of the blockThe value of the coefficient of kinetic friction is calculated as;
μ = ( 2.361 m/s² ) / ( 9.8 m/s² x cos41 )
μ = 0.32
Thus, the value of the coefficient of kinetic friction between the block and the inclined ramp is a function of the acceleration of the block and the angle of inclination of the ramp.
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