$50 kJ$ of energy causes a displacement of $25 m$ in a body in the direction of force in $2.5 s$ . Find the power.

$26.8 h p$

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$28.6 h p$

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$13.4 h p$

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$14.3 h p$

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Solution

The correct option is A
$26.8 h p$

We know that $p o w e r, P = \frac{W o r k o r E n e r g y}{T i m e}$
Given, energy $= 50 k J = 50 \times 10^{3} J$ , displacement $= 25 m$ and time $= 2.5 s$ .
So, power, $P = \frac{50 \times 10^{3}}{2.5} = 2 \times 10^{4} W$
Since, $1 hp = 746 W$
Therefore, power $P = \frac{2 \times 10^{4}}{746} = 26.8 h p$ .

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