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Power

A truck of ma...

Question

A truck of mass $30, 000 k g$ moves up an inclined plane of slope $1$ in $100$ at a speed of $30 k m / h$ . The power of the truck is $(G i v e n g = 10 m s^{- 1})$

25 k W

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10 k W

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5 k W

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2.5 k W

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Solution

The correct option is B $25 k W$
As truck is moving on an incline plane therefore only component of weight $m g s i n θ)$ will oppose the upward motion.
$P o w e r = f o r c e \times v e l o c i t y = m g sin θ \times v$
putting values:
$P = 30000 \times 10 \times (\frac{1}{100}) \times \frac{30 \times 5}{18} = 25 k W$
$P = 25 k W$

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