# How far must the student be pushed to reach the final kinetic energy?

How far must the student be pushed so that her final kinetic energy is 352 J?

In order to determine how far the student must be pushed, we can use the formula for work which is obtained by multiplying the force and the object's displacement. The force and displacement should be in the same direction in order to have work.

So, the formula is:

W = F x d

d = W / F

Substituting the known values, we have:

d = 352 J / 45 N = 7.82 m

Therefore, the displacement of the student is 7.82 meters.

The student wearing frictionless in-line skates on a horizontal surface is pushed by a friend with a constant force of 45 N. Starting from rest, the student must be pushed a distance of 7.82 meters in order to reach a final kinetic energy of 352 J. This shows the direct relationship between force, displacement, and work done.

By applying the principles of physics, we can calculate the exact distance needed to achieve the desired final kinetic energy. It is important to understand the concepts of work and energy to solve such problems effectively.