A bullet of mass m moving with velocity v 1 strikes a suspended wooden block of mass M as shown in the figure and sticks to it. If the block rises to a height y , the initial velocity of the bullet is

Question

A bullet of mass m moving with velocity v 1 strikes a suspended wooden block of mass M as shown in the figure and sticks to it. If the block rises to a height y , the initial velocity of the bullet is, v 1 = m + M m 2 g y, v 1 = 2 g y, v 1 = M + m M 2 g y, v 1 = m m + M 2 g y

MARKS App · Accepted Answer

As block raises to a height y , therefore speed just after collisions is v 1 = 2 g y As the collision is perfectly inelastic, using conservation of linear momentum, m v 1 = m + M 2 g y ∴ v 1 = m + M m 2 g y

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