Kim holds a 2.0 kg air rifle loosely and fires abullet of mass 1.0 g. The muzzle

Question

Kim holds a 2.0 kg air rifle loosely and fires abullet of mass 1.0 g. The muzzle velocity of the bullet is 150 m/s.What is the recoil speed of the rifle?If Kim holds the rifle tightly against her body, therecoil speed is less. Explain. Calculate the new recoil speedassuming the girl has a mass of 48 kg. Kim holds a 2.0 kg air rifle loosely and fires abullet of mass 1.0 g. The muzzle velocity of the bullet is 150 m/s.What is the recoil speed of the rifle?If Kim holds the rifle tightly against her body, therecoil speed is less. Explain. Calculate the new recoil speedassuming the girl has a mass of 48 kg.

Explanation / Answer

given the mass of the rifle is M = 2 kg the mass of the bullet is m = 1.0g the velocity of the bullet is v = 150 m/s let the speed of the rifle is V then we have by theconservation of the momentum         0 = mv + MV            V= -mv / M   = -0.075 m/s when kim holds the rifle tightly then the rifle and kim willbe one system and the mass of this recoiling system will be veryhigh so the recoiling speed is less the recoiling speed is   V' = -mv / ( M + 48 kg)                                      =-0.003 m/s

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