Answer to Question #159699 in Mechanics | Relativity for Dr. Horus

Question

A force which depends on x as

F(x) = 3x^2 - 4x moves a particle from

x1= 2.0 m to x2= 5.0 m. Calculate the

work done by the force.

Answer 1

By the definition of the work done:

$$F=\int F(x)dx.$$ $$W=\displaystyle\intop_{2.0}^{5.0} (3x^2-4x)dx=75 \ J.$$