A 75-g bullet is fired from a rifle having a barrel 0.654 m long. Choose the ori

Question

A 75-g bullet is fired from a rifle having a barrel 0.654 m long. Choose the origin to be at the location where the bullet begins to move. Then the force (in newtons) exerted by the expanding gas on the bullet is 14100 + 10100x - 24500x2, 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.
kJ

(b) If the barrel is 1.02 m long, how much work is done?
kJ

(c) How does this value compare with the work calculated in part (a)?
percent difference = %

Explanation / Answer

Work done=integral F.dx from 0 to x=14100x+5050x2-8167x3

a)Work done=9.1kJ

b)Work done=10.97kJ

c)percent difference =(10.97-9.1)/9.1=20.54%

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