Bullet and chair impulse problem

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Chumbaky
There is a weapon in which the barrel length is 62 cm and has a muzzle velocity of 450 m / s. A 30 kg wooden chair rests on a wooden floor, the mass of the bullet is 10 g. A bullet penetrates the chair and the bullet lodges in the chair 4 centimeters. How far back, in centimeters, did the chair fly back?
 
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Chumbaky said:
There is a weapon in which the barrel length is 62 cm and has a muzzle velocity of 450 m / s. A 30 kg wooden chair rests on a wooden floor, the mass of the bullet is 10 g. A bullet penetrates the chair and the bullet lodges in the chair 4 centimeters. How far back, in centimeters, did the chair fly back?
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I’m a retired ex physicist I guess. Although I have a first degree in theoretical physics and did post graduate studies ( structural phase transitions in strontium Titanate, I did not pursue a career in physics. However it has always been my first love. Since retiring I’ve been interested in quantum computing and quantum mechanics

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