Question

Please clearly show work and answer.

As shown in the figure below, a bullet is fired at and passes through a piece of target paper suspended by a massless string. The bullet has a mass m, a speed v before the collision with the target, and a speed (0.536)v after passing through the target. The collision is inelastic and during the collision, the amount of energy lost is equal to a fraction [(0.283)KEb BC] of the kinetic energy of the bullet before the collision. Determine the mass M of the target and the speed V of the target the instant after the collision in terms of the mass m of the bullet and speed v of the bullet before the collision. (Express your answers to at least 3 decimals.)

(a) Before collision bAC (b) After collision

Answer 1

2 M

29 3 \-0.2รา-0.283 = 0.215 m 1-1 e-43, = 0.215 m N1 21m О-43 piece Juqt 0.4 64 mV 0.464 m 2