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

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$\frac{1}{2} t$

$t$

$\sqrt{2} t$

$2 t$

answer is D.

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Detailed Solution

$\begin{aligned} v = u + a t \\ v = 0^{'} u^{'} same \end{aligned}$
$∴ a \propto 1 / t \frac{a_{1}}{a_{2}} = \frac{m_{2}}{m_{1}} = 2 = \frac{t_{2}}{t_{1}}$

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