What is the recoil velocity of a gun of mass 750 grams if a bullet of of mass 50 grams is fired at velocity of 15m S?

Text Solution

Solution : We have <br> Mass of the bullet ` m_(1) = 50 g = 50 xx 1-10^(-3)"Kg"` <br> Speed of the bullet `v_(1) = 35 m//s` <br> Mass of thegun `m_(2) = 4 "kg"` <br> Velocity of the gun `v_(2) = ?` <br> According to the conversation of momentum , <br> Total momentum before firing = Total momentum after firing <br> But total momentum before firing = 0 <br> Because the bullet gun system will be zero after collision <br> ` m_(1) v_(1) + m_(2)v_(2) = 0` <br> ` :. v_(2) = (-m_(1)v_(1))/(m_(2)) ` <br> ` :. v_(2) = (-0*05 xx 35)/4 = - 0*4375 m//s cong =0* 44 m//s` <br> The negative sign shows that the gun moves opposite to the direction of motion of the bullet .

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