A particle moves along a frictionless line under a position-dependent force (in )

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

Problem

0.50\,\text{kg}

particle moves along a frictionless line under a position-dependent force

F = 10 - 2x

(in

\text{N}

), where

x

is in metres. Its speed at

x = 0

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

. Determine its speed when it reaches

x = 4\,\text{m}

. (a)

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

(b)

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

(c)

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

(d)

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