What conditions prove that work has been done on a body?

What conditions prove that work has been done on a body?

Work is done on a body when a force is applied to it over a distance, and the conditions that prove this are:

Displacement: The body must undergo a displacement in the direction of the applied force.

Force: A force must be applied to the body, and its magnitude must be greater than zero.

Distance: The displacement must be caused by the force acting over a distance, and the distance must be greater than zero.

Energy transfer: Work is a measure of the transfer of energy from one system to another, and it is a scalar quantity.

Direction: The direction of the force and the displacement must be in the same direction. If the direction of the force and the displacement are not in the same direction, no work is done.

In mathematical terms, work is defined as the dot product of the force and the displacement, and it can be expressed as W = FdcosΘ, where F is the force, d is the displacement, and Θ is the angle between the force and the displacement.