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
- Ad=150, t=5
- Bd=120, t=8
- Cd=180, t=6
- 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