A $69\mathrm{.}1$ g bullet is fired from a rifle having a

barrel $0\mathrm{.}662$ m long. Assuming the origin is

placed where the bullet begins to move, the

force exerted on the bullet by the expanding

gas is F $=$ a $+$ b x $$ c x$2,$ where a $=13900$ N$,$

kamble $($vvk$295)$ W and E Part $2$ smith $(31022401)4$

b $=13700$ N$/$m$,$ c $=10600$ N$/$m$2,$ with x in

meters.

Determine the work done by the gas on the

bullet as the bullet travels the length of the

barrel.

Answer in units of J$.$

If the barrel is $0\mathrm{.}892$ m long, how much work

is done?

Answer in units of J$.$