A 95-g bullet is fired from a rifle having a barrel 0.660 m long. Choose the ori

Question

A 95-g bullet is fired from a rifle having a barrel 0.660 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 16500 + 10800x - 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.


(b) If the barrel is 1.06 m long, how much work is done?

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

Explanation / Answer

l = 0.660

W = integral of F.dx

a) W1 = (16500x + 5400x^2 + 24500/3*x^3) at l

W1 = 15590 J

b) W2 = (16500x + 5400x^2 + 24500/3*x^3) at l = 1.06

W2 = 33284 J

c) diff = (w2-w1)*100/w1

diff = 113.5 percent

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