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A bullet of mass 0.012 kg and horizontal...

A bullet of mass 0.012 kg and horizontal speed `70ms^(-1)` strikes a block of wood of mass 0.4 kg and instantly comes to rest with respect to the block. The block is suspended from the ceiling by thin wire. Calculate the height to which the block rises. Also, estimate the amount of heat produced in the block.

Text Solution

AI Generated Solution

To solve the problem step by step, we will follow these steps: ### Step 1: Calculate the initial momentum of the bullet and the block. The initial momentum of the bullet can be calculated using the formula: \[ \text{Initial Momentum} = \text{mass of bullet} \times \text{velocity of bullet} \] Given: ...
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Knowledge Check

  • A bullet of mass m moving horizontally with a velocity v strikes a block of wood of mass M and gets embedded in the block. The block is suspended from the ceiling by a massless string. The height to which block rises is

    A
    `v^2/(2g)(m/(M+m))^2`
    B
    `v^2/(2g)((M+m)/(m))^2`
    C
    `v^2/(2g)(m/M)^2`
    D
    `v^2/(2g)(M/m)^2`
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