A stone of mass $500 g$ is raised from a height of $2 m$ to $4 m$ . find the change in its potential energy.

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Solution

Step 1: Given data,
The mass of stone, $m = 500 g = 0.5 k g$
The initial height of stone, $h_{1} = 2 m$
The final height of stone, $h_{2} = 4 m$
Increase in height, $h = h_{2} - h_{1} = 4 - 2 = 2 m$
Step 2: Finding change in potential energy,
The formula for gravitational potential energy, $U_{g} = m g h$
We know the value of gravitational acceleration, $g = 9.81 \frac{m}{s^{2}}$
Putting values in the formula for potential energy, $U_{g} = 0.5 \times 9.81 \times 2 = 9.81 J$
Hence, the change in its potential energy is $9.81 J$ .

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