First slide

Work Energy Theorem

Question

A car and a truck are moving with same kinetic energy. To stop them brakes exerting equal forces are applied simultaneously. Then, which of the following statements is correct?

Moderate

A

The truck stops earlier as it covers less distance.
B

The car stops earlier as it covers less distance.
C

The car and the truck stop simultaneously covering equal distances.
D

The car stops earlier though it covers the same distance as the truck before coming to stop.

Solution

$\begin{array}{l} S = \frac{Δ K . E}{F} \Rightarrow S = constant \\ F t = ∆ p, \frac{p^{2}}{2 m} = K E, p = \sqrt{2 m K E} \\ t= \frac{\sqrt{2 m . K . E}}{F}; t α \sqrt{m} \\ t_{c} < t_{T} \end{array}$

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