Physics-
General
Easy

Question

A stone tied to a string of length L is whirled in a vertical circle with the other end of the string at the centre. At a certain instant of time, the stone is at its lowest position and has speed u. The magnitude of the change in its velocity as it reaches a position where the string is horizontal is

  1. square root of u to the power of 2 end exponent minus 2 g L end root  
  2. square root of 2 g L end root  
  3. square root of u to the power of 2 end exponent minus g l end root  
  4. square root of 2 left parenthesis u to the power of 2 end exponent minus g L right parenthesis end root  

The correct answer is: square root of 2 left parenthesis u to the power of 2 end exponent minus g L right parenthesis end root


    fraction numerator 1 over denominator 2 end fraction m u to the power of 2 end exponent minus fraction numerator 1 over denominator 2 end fraction m v to the power of 2 end exponent equals m g L
    rightwards double arrow v equals square root of u to the power of 2 end exponent minus 2 g L end root
    open vertical bar stack v with rightwards arrow on top minus stack u with rightwards arrow on top close vertical bar equals square root of u to the power of 2 end exponent plus v to the power of 2 end exponent end root equals square root of u to the power of 2 end exponent plus u to the power of 2 end exponent minus 2 g L end root equals square root of 2 left parenthesis u to the power of 2 end exponent minus g L right parenthesis end root

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