A battleship that is 5.00 x 10^7 kg is originally at rest fires 1500 kg artiller

Question

A battleship that is 5.00 x 10^7 kg is originally at rest fires 1500 kg artillery shell horizontally with a velocity of 575 m/s. If he shell is fired straight aft, there will be negligible friction opposing the ship’s recoil. What is the recoil velocity ? A battleship that is 5.00 x 10^7 kg is originally at rest fires 1500 kg artillery shell horizontally with a velocity of 575 m/s. If he shell is fired straight aft, there will be negligible friction opposing the ship’s recoil. What is the recoil velocity ?

Explanation / Answer

Conserving momentum,

m1*v1 + m2*v2 = 0 <--------- final total momentum = initital total momentum

So, 5*10^7*v1 + 1500*575 = 0

So, v1 = 1500*575/(5*10^7)

So, v1 = 0.0173 m/s <------- answer

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