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Grade 12th passMechanics

A bullet of mass m is fired from a gun of mass M .The recoiling gun compresses a spring of force constant K by a distance d. Then the velocity of the bullet in terms of K,d,M and m will be

Profile image of Aman
8 Years agoGrade 12th pass
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2 Answers

Profile image of Khimraj
8 Years ago
Let velocity of bullet is v and velocity of gun is V. ThenBy conservation of momentumMV = mvAnd as
Profile image of Khimraj
8 Years ago
MV = mv
and as given
½MV2 = ½Kd2
V = d\sqrt{K}
So v = (Md/m)\sqrt{K}
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