A 95-g bullet is fired from a rifle having a barrel 0.594 m long. Choose the ori

Question

A 95-g bullet is fired from a rifle having a barrel 0.594 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 + 9100x - 27000x2, 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 1.04 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

a) work done = integration of ( 14100 + 9100x - 27000x2) with respect to x

work done = 8.0945 KJ

b) work done = 9.4615 KJ

c) % differnce = 16.89

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