# If a #5 kg# object moving at #15 m/s# slows to a halt after moving #12 m#, what is the coefficient of kinetic friction of the surface that the object was moving over?

We know that the work done by friction is equal to the change in kinetic energy of the object.

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Coefficient of kinetic friction is 0.375.

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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 #3 kg# is pushed along a linear path with a kinetic friction coefficient of #u_k(x)= e^x-2x+3 #. How much work would it take to move the object over #x in [3, 4], where x is in meters?
- An object with a mass of # 15 kg# is on a ramp at an incline of #pi/8 #. If the object is being pushed up the ramp with a force of # 7 N#, what is the minimum coefficient of static friction needed for the object to remain put?
- Two bodies. X and Y of mass m and M respectively exert forces on each other and no other forces act on them. The force on X is F and the acceleration is a. Which of the following pairs is correct?
- If an object is moving at #4 ms^-1# over a surface with a kinetic friction coefficient of #u_k=3 /g#, how far will the object continue to move?
- If a #"0.50 kg"# object moving at #"3.5 m/s"# slows to a halt after moving #"0.25 m"#, what is the coefficient of kinetic friction of the surface that the object was moving over?

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