Consider a situation where you exert a force F on a crate of mass m , moving it at a speed v a distance d across a floor in a time interval t .
The potential energy of the crate is mgd .

Question

Consider a situation where you exert a force F on a crate of mass m , moving it at a speed v a distance d across a floor in a time interval t . 
The potential energy of the crate is mgd .

Quizplus · Accepted Answer

The potential energy of the crate is determined by its position relative to a reference point, and is given by U = mgh, where h is the vertical distance between the crate and the reference point. In this situation, the crate is being moved horizontally, so its potential energy does not change. The work done by the force F is given by W = Fd, and the kinetic energy of the crate is given by K = (1/2)mv^2. The change in kinetic energy of the crate is equal to the work done on it, so we have Kf - Ki = W. Therefore, the final kinetic energy of the crate is Kf = (1/2)mv^2 + Fd, and the total energy of the system (including potential energy) is given by E = U + Kf = (1/2)mv^2 + mgh + Fd.

Consider a Situation Where You Exert a Force F on a Crate