Chapter 7, Problem 38P

A 1.5 kg block is initially at rest on a horizontal frictionless surface when a horizontal force along an xaxis is applied to the block. The force is given by $\stackrel{\to }{F}$ (x) = (2.5 −x²) $\hat{i}$ N, where xis in meters and the initial position of the block is x= 0. (a) What is the kinetic energy of the block as it passes through x= 2.0 m? (b) What is the maximum kinetic energy of the block between x= 0 and x= 2.0 m?