Question

A 60-g bullet is fired from a rifle having a barrel 0.620 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 18000 + 10000x - 10000x², 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) How much work would be done if the barrel were 84% longer?
kJ
What percentage change in work is produced by the longer barrel? (Note that because the force is nonlinear in the displacement, the percentage change in the barrel length does not generally result in the same percentage change in the energy.)
%

Answer 1

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