# An object, previously at rest, slides #5 m# down a ramp, with an incline of #pi/3 #, and then slides horizontally on the floor for another #2 m#. If the ramp and floor are made of the same material, what is the material's kinetic friction coefficient?

(I really want someone to double check my work since this is one of my first physics answers)

Let's use the ramp's top for the starting condition and its bottom for the ending condition.

We are aware of:

Thus, our formula is as follows:

Adding this to the initial equation results in:

Final Answer

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The kinetic friction coefficient of the material is approximately 0.1.

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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.

- An object with a mass of #12 kg# is on a surface with a kinetic friction coefficient of # 15 #. How much force is necessary to accelerate the object horizontally at # 4 m/s^2#?
- How fast will an object with a mass of #16 kg# accelerate if a force of #12 N# is constantly applied to it?
- How fast will an object with a mass of #7 kg# accelerate if a force of #8 N# is constantly applied to it?
- A box with an initial speed of #1 m/s# is moving up a ramp. The ramp has a kinetic friction coefficient of #2/3 # and an incline of #(3 pi )/8 #. How far along the ramp will the box go?
- An object with a mass of #4 kg# is hanging from a spring with a constant of #3 (kg)/s^2#. If the spring is stretched by # 6 m#, what is the net force on the object?

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