Physics

Problem

A particle moves along the

x

-axis under the influence of a position-dependent horizontal force given by

F_{x}(x)=6+2x

, where

F_{x}

is measured in newtons and

x

in meters. The particle travels from

x=0

x=4\,\text{m}

. (a) Calculate the work done on the particle during this displacement. (b) Determine the average value of the horizontal force acting on the particle over this interval. (c) The particle has mass

1.5\,\text{kg}

and an initial speed of

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

x=0

. Find its speed at

x=4\,\text{m}

. State your answer with appropriate units.

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