Question

A bullet of mass 6.45 g is fired from a 66.0 cm-long rifle barrel at 237 m/s. The mass of the rifle is 4.50 kg. Determine the acceleration of the bullet as well as the recoil acceleration of the rifle.

Answer 1

Answer:

acceleration time t

0.660 meters = (1/2) a t^2

237 = a t so t = 237/a

then

0.660 = (1/2) a (237^2/a^2)

0.330 a = 237^2

a = 237^2/0.330

momentum is conserved

so

4.50 v rifle = .00645 v bullet at all times

so

a rifle = (.00645/4.50) a bullet