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Question

A bullet moving with a velocity of 200 c m divided by s penetrates a wooden block and comes to rest after traversing 4 c m blankinside it. What velocity is needed for travelling distance of 9 c m in same block

  1. 100 blank c m divided by s  
  2. 136.2 c m divided by s  
  3. 300 c m divided by s  
  4. 250 blank c m divided by s  

The correct answer is: 300 c m divided by s


    As v to the power of 2 end exponent=v to the power of 2 end exponent minus 2 a s rightwards double arrow u to the power of 2 end exponent equals 2 a s (therefore v equals 0)
    rightwards double arrow u to the power of 2 end exponent proportional to s rightwards double arrow fraction numerator u subscript 2 end subscript over denominator u subscript 1 end subscript end fraction equals open parentheses fraction numerator s subscript 2 end subscript over denominator s subscript 1 end subscript end fraction close parentheses to the power of 1 divided by 2 end exponent
    rightwards double arrow u subscript 2 end subscript equals open parentheses fraction numerator 9 over denominator 4 end fraction close parentheses to the power of fraction numerator 1 over denominator 2 end fraction end exponent u subscript 1 end subscript equals fraction numerator 3 over denominator 2 end fraction u subscript 1 end subscript equals 300 m divided by s

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