# Work done when you bring an bringing an object down from a height

I am going to explain this question through an example.

Suppose I lift an object I apply a force $$mg$$ then I apply additional force, that would be $$ma$$ so total force would be $$m(g+a)$$. My doubt is that the work done by a person in lifting a box by applying more force than the weight that should be $$m(g+a) *h$$ right?

I would love to know if my answer is right or if someone could kindly correct me

That is correct. Also, since the gravitational PE increases by $$mgh$$ it is clear that the kinetic energy increases by $$mah$$