An object of mass $m$ when raised To height $h$ possess a potential energy of $1200\ J$. Find the new potential energy if the same object is raised to height $\frac{h}{4}$.

Here given, Mass of the object $=m$

Height $=h$

Potential energy $1200\ J$

Therefore, $mgh=1200$

Or $mg=\frac{1200}{h}$     ......... $( i)$

When, height is $\frac{h}{4}$,

Then, potential energy $mg\times\frac{h}{4}$

$=\frac{1200}{h}\times\frac{h}{4}$      [because $mg=\frac{1200}{h}$ from $( i)$]

$=300\ Joule$

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Updated on: 10-Oct-2022

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