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A driver of a car driving at 72 kmph not...

A driver of a car driving at `72 kmph` notices a child on the road at a distance of `50m`. If the weight of the car including the driver is `750kg` wt then calculate the resistive force applied on the wheels by the brakes, if the car, comes to stop just in front of the child.

Text Solution

Verified by Experts

Given `v_(0)=72kmph=72xx(5)/(18)`
`v_(0)=20ms^(-1)` `s=50m` `m=750kg`
We know that `v^(2)=v_(0)^(2)+2as` where `v=0`
`:.0=(20)^(2)+2a(50)` `:.a=-(400)/(100)=-4ms^(-2)`
We also know that `F=ma`
resistive force to the motion `=750xx4=3000N=3xx10^(3)N`.
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