A horizontal force acting on a cart varies with displacement as (in newtons)

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A horizontal force acting on a

2\,\text{kg}

cart varies with displacement as

F(x)=10-3x

(in newtons), where

x

is in metres. The cart starts from rest at

x=0

on a frictionless track. Its speed when it reaches

x=3\,\text{m}

is approximately (a)

6.4\,\text{m s}^{-1}

(b)

3.0\,\text{m s}^{-1}

(c)

4.1\,\text{m s}^{-1}

(d)

5.5\,\text{m s}^{-1}