Define recoil velocity. Derive the formula for recoil velocity of gun.
Answers
Answer:
Derivation For recoil velocity of Gun:
The sum of momentum before firing bullet is zero. mu1+Mu2=0If v1 and v2 are the final velcoities of bullet and gun receptively after firing. Total momentum before recoil = Total momentum after recoil.
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(1) Let us consider the example of a bullet fired from a gun. when A bullet of mass M1 is fired from a gun of mass M2, its velocity becomes v1, and its momentum becomes m1v1. before firing the bullet both the gun and bullet are at rest. hence, total initial momentum is zero.
(2) according to the about law, the total final momentum has to be zero. Thus the forward moving bullet causes the gun to move backward after firing.
(3) This backward motion of the gun is called its recoil. The velocity of recoil, v2 is such that m1v1 + m2v2 = 0 or V2= -m1/ m2× V1.