A body of mass $15$ kg is raised to height of $10$ m. Calculate the potential energy at that height. What will be it's potential energy, if it is taken to double height.

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Solution

Given,
$m = 15 k g$ ; mass of the body
$h = 10 m$ ; raised height
$g = 9.8 m s^{- 2}$ ; acceleration due to gravity
Potential energy at that point-
$E = m g h$
$\Rightarrow E = 15 \times 9.8 \times 10$
$\Rightarrow E = 1470 J$

Taken to double the height -
$h = 20 m$
New potential energy-
$E^{'} = 2 m g h$
$\Rightarrow E^{'} = 2 \times 1470 J$
$\Rightarrow E^{'} = 2940 J$

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