Distance Calculation for a Student Pushed by a Friend

What is the distance the student must be pushed to achieve a final kinetic energy of 352 J?

Calculate the distance the student must be pushed if she is wearing frictionless in-line skates on a horizontal surface and is pushed by a friend with a constant force of 46 N.

Answer:

The distance at which the student must be pushed is 7.65 meters.

Distance is the length between two points. In this scenario, we need to calculate the distance at which the student must be pushed to achieve a final kinetic energy of 352 J.

To calculate the distance, we use the formula:

d = W/F ............ Equation 1

Where:

d = Distance

F = Force applied to the student by the friend

W = Final kinetic energy of the student

Given:

W = 352 J

F = 46 N

Substitute these values into equation 1:

d = 352 / 46

d = 7.65 m

Therefore, the student must be pushed through a distance of 7.65 meters to achieve a final kinetic energy of 352 J.