A bullet of mass m moving with velocity u strikes a block of mass m at rest
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by conservation of momentum, (m)(v) + (M)(o) = (m + M)V mv = (m + M)V ∴ V = {(mV) / (m + M)} KE of composite block = (1/2) (M + m)V2 = (1/2) (m + M) {(mV) / (m + M)}2 = (1/2) {(m2v2) / (m + M)} = (1/2)mv2 × {m / (m +M)}Read more on Sarthaks.com - https://www.sarthaks.com/322701/bullet-of-mass-moving-with-velocity-strikes-block-of-mass-at-rest-and-gets-embedded-into-it
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