In Fig. 9-62, a bullet with mass m1 moving directly upward with speed v1i strike
ID: 2214249 • Letter: I
Question
In Fig. 9-62, a bullet with mass m1 moving directly upward with speed v1i strikes and passes through the center of mass of a block with mass m2 which is initially at rest. The bullet emerges from the block moving directly upward and has slowed to a speed v1f. To what maximum height does the block then rise above its initial position? State your answer in terms of the given variables (use g where applicable). sorry about the figure. the answer should be an equationExplanation / Answer
let velocity of block after bullet comes out be v2 by conservation of momentum m1v1i + 0 = m1v1f + m2v2 => v2 = m1[v1i - v1f]/m2 height reached by an object,h = v^2/2g thus height reached by block,h = v2^2/2g = (m1^2)*(v1i-v1f)^2/[2g*m2^2]