Problem

A 1.5 kg block is initially at rest on a horizontal frictionless surface when a horizontal force in the positive direction of

x

-axis is applied to the block. The force is given by

F(x) = (2.5 - x^2)\hat{i} \text{ N}

, where,

x

is in metre 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 \text{ m}

? b. What is the maximum kinetic energy of the block between

x = 0

and

x = 2.0 \text{ m}