A car weighing 1000kg is going up an inclined plane with a slope of 2 in 25 at a steady speed of 18 kmph. If g=10ms-2, the power of it’s engine is

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A car weighing 1000kg is going up an inclined plane with a slope of 2 in 25 at a steady speed of 18 kmph. If g=10ms^-2, the power of it’s engine is

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4 kw

50 kw

25 kw

625 kw

answer is A.

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Detailed Solution

The meaning of slope is 2 in 25 means $sinθ = \frac{2}{25}$

$P = \hat{F} \cdot \vec{V} = FV = (mgsin θ) \cdot V$

$= 1000 x 10 x \frac{2}{25} x (18 x \frac{5}{18}) = 4000 W$

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