A block is initially at rest on a horizontal frictionless surface when a horizontal…

PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

1.5\text{ kg}

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

x

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

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

, where

x

is in metres and the initial position of the block is

x=0

. (1) What is the kinetic energy of the block as it passes through

x=2.0\text{ m}

? (2) What is the maximum kinetic energy of the block between

x=0

and

x=2.0\text{ m}