true or false work expression

Question

When a single particle is moved by a force, the work expression is , but when a distributed mass is moved, the expression is often formulated as  instead. true or false?

Answer 1

False.

When a single particle is moved by a force, the work expression is indeed given by W = Fd, where F is the force applied and d is the distance the particle is moved in the direction of the force.

However, for a distributed mass, the work expression is still W = Fd, where F is the net force applied and d is the displacement of the center of mass of the mass distribution. The formula given in the statement, W = ∫Fdx, is a general formula for calculating the work done by a variable force, but it is not specific to distributed masses.

I have never seen the equation work = integral(x*dF) before.