A 0.400 kg block of wood hangs from the ceiling by a string, and a7.4x10^-2 kg w

Question

A 0.400 kg block of wood hangs from the ceiling by a string, and a7.4x10^-2 kg wad of putty is thrown straight upward, striking thebottom of the block with a speed of 5.75 m/s. The wad ofputty sticks to the block.
Is the mechanical energy of this system conserved?
How high does the putty-block system rise above the originalposition of the block? ANSWER NEEDS TO BE IN cm
Is the mechanical energy of this system conserved?
How high does the putty-block system rise above the originalposition of the block? ANSWER NEEDS TO BE IN cm

Explanation / Answer

From conservation of momentum we have     mvi = (m+ M)v == > v = mvi / (M+m)              = 0.074 * 5.75 / (0.4 + 0.074)              = 0.8976 m/s we know that            h = v2 / 2g               = 0.8976*0.8976 / 2*9.8               = 0.0411 m

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