1). A 6.5 kg rifle fires a 20gm bullet at a muzzle velocity of700 m/s. a) Use th

Question

1). A 6.5 kg rifle fires a 20gm bullet at a muzzle velocity of700 m/s. a) Use the principle of conservation of momentum todevelop a general expression for the recoilvelocity of the rifle. b) Use the results of part (a) to calculate the magnitude ofthe recoil velocity of the rifle. Please clearly show work 1). A 6.5 kg rifle fires a 20gm bullet at a muzzle velocity of700 m/s. a) Use the principle of conservation of momentum todevelop a general expression for the recoilvelocity of the rifle. b) Use the results of part (a) to calculate the magnitude ofthe recoil velocity of the rifle. Please clearly show work

Explanation / Answer

(a)   initial momentum of bullet and rifle = final momentum of bullet and rifle .                       0               =   mass of bullet * velocity of bullet  +   mass of rifle * recoil velocity of rifle .                      0         =   m vb   +   Mvr .                 vr = - m vb / M             negative indicates opposite direction of the velocity of thebullet . (b)   we assume bullet moves in the positivedirection so .        vr = - (20 grams) * 700 m/s / 6500 grams =    -2.15m/s .                 vr = - m vb / M             negative indicates opposite direction of the velocity of thebullet . (b)   we assume bullet moves in the positivedirection so .        vr = - (20 grams) * 700 m/s / 6500 grams =    -2.15m/s

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