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JEE Main2012PhysicsLaws of MotionActual

A car of mass 1000 ~kg is moving at a speed of 30 m / s . Brakes are applied to bring the car to rest. If the net retarding force is 5000 ~N , the car comes to stop after travelling d ~m in t ~s . Then

Options

  1. Ad=150, t=5
  2. Bd=120, t=8
  3. Cd=180, t=6
  4. Dd=90, t=6

Correct answer

D. d=90, t=6

Step-by-step solution

Given: mass of car m=1000 ~kg aligned & u=30 ~m / s & v=0 ~m / s & retarding force f=5000 ~N & retardation, -a= 5000 1000 =5 ~m / s ^2 aligned By equation, v^2-u^2=2 as aligned & 0-(30)^2=-2 5 d & d= 900 10 =90 ~m aligned and a= v-u t t= v-u a = 0-30 -5 =6 ~s

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