# An object, previously at rest, slides #3 m# down a ramp, with an incline of #pi/6 #, and then slides horizontally on the floor for another #5 m#. If the ramp and floor are made of the same material, what is the material's kinetic friction coefficient?

The coefficient of kinetic friction is

At the top of the ramp, the object possesses potential energy.

At the bottom of the ramp, part of the potential energy is converted into kinetic energy and the work done by the frictional force.

Therefore,

so,

On the horizontal part,

The deceleration is calculated with Newton's Second Law

We apply the equation of motion

By signing up, you agree to our Terms of Service and Privacy Policy

The coefficient of kinetic friction is approximately 0.3.

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- If the length of a #49 cm# spring increases to #91 cm# when a #5 kg# weight is hanging from it, what is the spring's constant?
- An object with a mass of #8 kg# is acted on by two forces. The first is #F_1= < -3 N , 2 N># and the second is #F_2 = < 6 N, -3 N>#. What is the object's rate and direction of acceleration?
- A truck pulls boxes up an incline plane. The truck can exert a maximum force of #2,800 N#. If the plane's incline is #(2 pi )/3 # and the coefficient of friction is #3/8 #, what is the maximum mass that can be pulled up at one time?
- A box with an initial speed of #8 m/s# is moving up a ramp. The ramp has a kinetic friction coefficient of #7/2 # and an incline of #(5 pi )/12 #. How far along the ramp will the box go?
- An object with a mass of #2 kg# is acted on by two forces. The first is #F_1= < -9 N , 8 N># and the second is #F_2 = < -7 N, -4 N>#. What is the object's rate and direction of acceleration?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7