A 110-g bullet is fired from a rifle having a barrel 0.594 m long. Choose the or

Question

A 110-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 15150 + 9600x - 24250x2, 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 0.96 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

W=Intedral(Fds), so you have to integrate the above equation from 0 to .6 in the fifst case and from 0 to 1 in the second

W = (15000x + 10000X^2/2 -25000x^3/3) from 0 to .6 = 9000J
W = (15000x + 10000X^2/2 -25000x^3/3) from 0 to 1 = 11.666J

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