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> 1 E M A bullet, mass m, is fired with velocity v, at a wooden block, mass M, that is hanging at rest


 

> 1 E M A bullet, mass m, is fired with velocity v, at a wooden block, mass M, that is hanging at rest from the ceiling. The bullet becomes stuck inside the block which makes the bullet/block swing with a velocity v' at the bottom of the swing. The bullet/block swings up and comes to rest at a vertical height, h, above its lowest position. Solve for the initial speed of the bullet, v, in terms of m, M, g, and h. This is a simple way to measure the muzzle velocity of a firearm without any fancy equipment. Hint: This is both a conservation of momentum problem (inelastic collision) and a conservation of energy problem (kinetic energy converted to potential energy)

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