When fired from an air rifle, a bullet of mass m is fired at a velocity v. What modulus of momentum does an air rifle acquire after firing if its mass is 150 times greater than a bullet?
v – bullet velocity when fired from an air rifle;
m is the mass of the bullet;
M = 150 * m is the mass of the air rifle.
It is required to determine the impulse of the air rifle P1.
Let us introduce a coordinate system, the OX axis of which is directed towards the bullet exit. Then, the momentum of the bullet P will have a positive value, and the momentum of the rifle P1 will be negative, since as a result of the recoil, the rifle will move backward. According to the law of conservation of momentum (momentum):
-P1 + P = 0;
P1 = P;
P1 = m * v.
Answer: the rifle gains momentum equal to m * v
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