A 65 g bullet is fired from a rifle having a barrel 0.560 m long. Assuming the origin is placed where the bullet begins to move, the force (in newtons) exerted by the expanding gas on the bullet is 10000 + 8000x - 25000x2, where x is in meters.
(a) Determine the work done by the gas on the bullet as the bullet travels the length of the barrel.
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(b) If the barrel is 1.10 m long, how much work is done by the gas on the bullet?