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JEE Main2003PhysicsMotion in One DimensionActual

A car, moving with a speed of 50 ~km / hr , can be stopped by brakes after at least 6 ~m . If the same car is moving at a speed of 100 ~km / hr , the minimum stopping distance is

Options

  1. A12 ~m
  2. B18 ~m
  3. C24 ~m
  4. D6 ~m

Correct answer

C. 24 ~m

Step-by-step solution

Energy = Work done by force ( F ) 1 2 ~m .(50)^2=( F )(6) F = 2500 ~m 2 6 For v =100 ~km / hr 1 2 m (100)^2=( F )( S ) aligned & 1 2 ~m (100)^2= ( 2500 ~m 2 6 ) S & S = 100 100 6 2 2500 2 =24 ~m aligned

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