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Ask iit jee aieee pet cbse icse state board experts Expert Question: Linear momentum
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aky_jatt (0)

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Sir, my question is
A bullet of mass 20g moving horizontaly at a speed of 300m/s is fired into a wooden block of mass 500g suspended by a long string. The bullet crosses the block and emerges on the other side. If the centre of mass of the block rises through a height of 20cm,find the speed of the bullet when it emergesfrom the block?
 
 
    
edison (5101)

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Apply law of conservation of momentum to find the velocity of the bullet when it emerges out.
 
Now the kinetic energy of block will be such that it acquires potential energy so that the center of mass of the block raises by 20cm
 
Use (1/2)mv2 = mgh, find v for the block.
 
substitute in the equation for conservation of momentum and get the required result.

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