Physics

Problem

A particle moves along the positive

x

-axis under the variable force

F(x)=x^{2}e^{-x}

newtons, where

x

is measured in meters. Determine the total work, in joules, required to move the particle from

x=0

x=\infty

. a)

4\,\text{J}

2\,\text{J}

c) The work is unbounded (diverges). d)

1\,\text{J}