A variable force F=3x2 is applied on an object. What is the work done to move the object from x = 0m to x = 5m?
(Assume the displacement is in the direction of force applied at all points)
We know that work done by force f(x) is given by W = ∫ f(x) dx , when the displacement is in the direction of force.
work done = ∫3x2dx
Using the formula ∫xndx=xn+1n+1, we get
Work done when x= 0 is zero.
We want to find W(5)