Question

Derive an expression for the work done by a variable force.

Answer 1

The work done by a constant force of magnitude F on a point that moves a displacement d in the direction of the force is the product: W = Fd. Integration approach can be used both to calculate work done by a variable force and work done by a constant force.

Answer 2

Answer:

Work = P∫ba dV.

Explanation:

Just as you can derive the work for a variable force using calculus, you can do the same for work done by a constant force. In such a calculation, pressure remains unchanged, which is why you can take it out of the equation immediately. Work = P∫ba dV.