A 153 g bullet is fired from a rifle having a
barrel 0.794 m long. Assuming the origin is
placed where the bullet begins to move, the
force exerted on the bullet by the expanding
gas is F = a + bx − cx^2 , where a = 12600 N, b = 8420 N/m, c = 10100 N/m^2, with x in meters.
Determine the work done by the gas on the
bullet as the bullet travels the length of the
barrel.
Answer in units of J
W = ∫F•dx = a•x + (b/2) •x² - (c/3) •x³
x=0.794 m
a = 12600 N,
b = 8420 N/m,
c = 10100 N/m^2,