Question

is acting on an object that is constrained to move along the x-axis. If the force moves the object 3m, from the origin, what is the potential energy difference due to this force acting on the object

Answer 1

U = - ∫ F dx

U = - 3F₀

Step-by-step explanation:

Force and potential energy are related

F =
`- (dU)/(dx)`

dU = - F dx

∫ dU = - ∫ F dx

U- U₀ = - ∫ F dx

to solve the problem we must know the form of the force, if we assume that F = F₀ and U₀ = 0 for x = 0

U = - F₀ 3