When the height is doubled, what happens to the potential energy of a body.

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Solution

Step 1. Given data,
$(h' = 2 h)$
Step 2. Finding the potential energy of a body
$P E = m g h$
When height is doubled, $(h' = 2 h)$ then potential energy is given by
$P E' = m g (2 h)$
$= 2 m g h$
$P E' = 2 P E$
Hence, when height is doubled, potential energy is also doubled.

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