A 9.0-kg box of oranges slides from rest down a frictionless incline from a height of 5.0 m. A constant frictional force, introduced at point A, brings the block to rest at point B, 19 m to the right of point A.
What is the coefficient of kinetic friction, k , of the surface from A to B?

The coefficient of kinetic friction is 0.26

Explanation:

Given:

Mass of box kg

Initial height m

Final height m

Distance travel by block m

For finding coefficient of kinetic friction,

We use conservation laws,

Work done by frictional force is equal to change in energy,

Here only potential energy change so we can write,

Here

Therefore, the coefficient of kinetic friction is 0.26

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