Answer:
[tex]2,900\: \mathrm{J}[/tex]
Explanation:
Work is given by the equation [tex]W=F\Delta x[/tex] where [tex]F[/tex] is force and [tex]\Delta x[/tex] is displacement.
Displacement is defined as change in position. In this case, the box moves from 5m to 20m. Its displacement is [tex]20-5=15\:\mathrm{m}[/tex].
The force acting on the box is the force of gravity, given as [tex]F_g=mg[/tex].
Therefore, the total work done is:
[tex]W=F\Delta x=mg\Delta x = 20\cdot 9.81\cdot 15=2,943=\fbox{$2,900\:\mathrm{J}$}[/tex](two significant figures).
