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Power

A car of mass...

Question

A car of mass 1250 kg experience a resistance of 750 N when it moves at $30 m s^{- 1}$ . If the engine can develop 30kW at this speed, the maximum acceleration that the engine can produce is

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Solution

The correct option is B

$P o w e r = F o r c e \times v e l o c i t y = (R e s i s t i v e f o r c e + A c c e l e r a t i n g f o r c e) \times v e l o c i t y$

$\Rightarrow 30 \times 10^{3} = (750 + m a) \times 30 \Rightarrow m a = 1000 - 750 \Rightarrow a = \frac{250}{1250} = 0.2 m s^{- 2}$

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