A Student and Roller Skates

Explanation:

To find out how far the student must be pushed, we can use the formula:

Work (W) = Force (F) x Distance (d)

Given that the force applied is 100 N and the final kinetic energy is 500 J, we can use the work-energy theorem to calculate the distance:

500 J = 100 N x d

d = 500 J / 100 N = 5 meters

Therefore, the student must be pushed a distance of 5 meters starting from rest to achieve a final kinetic energy of 500 J.