Physics

To solve for the distance the object will travel before coming to a stop, we can apply the work-energy theorem, which states that the work done by the net force is equal to the change in kinetic energy.

 

Work-Energy Theorem

The work done by the frictional force causes the object to lose all its initial kinetic energy and come to rest. So, the change in kinetic energy is:

Since the object comes to rest, .

Thus, the change in kinetic energy is:

 

Work Done by Friction

The work done by the frictional force is:

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