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A car of mass m, travelling at speed v, ...

A car of mass `m`, travelling at speed `v`, stops in time `t` when maximum braking force is applied. Assuming the breaking force is same for both cases, what time would be required to stop a car of mass `2 m` travelling at speed `v` ?

A

`(1)/(2) t`

B

`t`

C

`sqrt(2) t`

D

`2 t`

Text Solution

Verified by Experts

The correct Answer is:
D
Let the acceleration of first car be `a`. Then acceleration of second car is.
For first car, `0 = v - at` or `t = (v)/(a)`
For second car, `0 = v - (a)/(2) t'` or `t' = (2v)/(a) = 2t`.
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Knowledge Check

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