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Use conservation of linear momentum. Before firing the bullet the total momentum was zero (assuming you were not moving), therefore, after firing the bullet, the total momentum must needs also be zero. Therefore, after the shot, m1v1 + m2v2 = 0, where m1 and v1 correspond to the pistol, and m2 and v2 correspond to the bullet.

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Q: What is the recoil velocity of the pistol when a bullet of mass 200g is fired with a velocity 30m per second from a pistol of mass 100kg?
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