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Gravtiational PE

A boy weighin...

Question

A boy weighing $25 k g f$ climbs up from the first floor at height $3 m$ above the ground to the third floor at height $9 m$ above the ground. What will be the increase in the gravitational potential energy? Consider $g = 10 m s^{- 2}$ .

1 k J

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1.3 k J

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1.5 k J

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None of these

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Solution

The correct option is A $1.5 k J$
Weight of the boy $= 25 k g f$
So, mass of the boy, $m = 25 k g$
Given, $h_{1} = 3 m, h_{2} = 9 m, g = 10 m s^{- 2}$
$∴$ increase in potential energy $= m g (h_{2} - h_{1}) = 25 \times 10 \times (9 - 3) = 1500 J = 1.5 k J$

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