A bullet of mass 32g is fired from a gun. The graph above shows the variation of the force F on the bullet with time T as it travels along the barrel of the gun.
The bullet is fired at time T=0 and the length of the barrel is 0.70m.
(a) State and explain why it is inappropriate to use the equation S = ut + 1/2 a(t^2) to calculate the acceleration of the bullet.
(b) Use the graph to:
(i) Determine the average acceleration of the bullet during the final 2.0ms of the graph
(ii) show that the change in momentum of the bullet, as the bullet travels along the length of the barrel, is approximately 9Ns.
(c) Use the answer in (b)(ii) to calculate the
(i) speed of the bullet as it leaves the barrel
(ii) average power delivered to the bullet
(d) Use Newton’s third law to explain why a gun will recoil when a bullet is fired