Question

In a system with only a single force acting upon a body, what is the relationship between the change in kinetic energy and the work done by the force?Answers:Work is equal to the change in kinetic energy.Work depends on the square of the change in potential energy.Work is equal to the negative of the change in kinetic energy.Work is equal to the square of the change in kinetic energy

Answer 1

Answer:

Work is equal to the change in kinetic energy.

Explanation:

Since energy cannot be created nor destroyed, and work is a form of energy, the work done by a force acting on an object must be equal to the kinetic energy gained by the object.

This is summarized by the work-energy theorem, which can be written as:

$W=\Delta K = K_f - K_i = \frac{1}{2}mv^2 - \frac{1}{2}mu^2$

where

W is the work done on the object

m is the mass of the object

v is the final speed of the object

u is the initial speed of the object