A man does $4,720$ J of work in the process of pushing his $2\mathrm{.}40103$ kg truck from rest to a speed of v$,$ over a distance of $26\mathrm{.}5$ m$.$ Neglecting friction between truck and road, determine the following.

$($a$)$

the speed v $($in m$/$s$)$

m$/$s

$($b$)$

the horizontal force exerted on the truck $($in N$)$

N