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The driver of a car travelling at veloci...

The driver of a car travelling at velocity v suddenly see a broad wall in front of him at a distance d. He should

A

brake sharply

B

turn sharply

C

Both a and b

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A

When driver applies brakes and the car covers distance x before coming to rest, under the effect of retarding force F.
Then `(1)/(2)mv^(2)=Fx`
or `x=(mv^(2))/(2F)`
But when he takes turn, then
`(mv^(2))/(r)=F`
`impliesr=(mv^(2))/(F)`
It is clear that `x=(r)/(2)`
ie, by the same retarding force the car can be stopped in a less distance if the driver apply brakes. This retarding force is actually a friction force.
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