The potential energy (PE) of an object raised to a height can be calculated using the formula:
\[ PE = mgh \]
where:
- \( m \) is the mass of the object (in kilograms),
- \( g \) is the acceleration due to gravity (approximately \( 9.81 , \text{m/s}^2 \) on the surface of the Earth),
- \( h \) is the height above the ground (in meters).
Given:
- \( m = 10 , \text{kg} \)
- \( g = 9.81 , \text{m/s}^2 \)
- \( h = 10 , \text{m} \)
Now, substituting the values into the formula:
\[ PE = 10 , \text{kg} \times 9.81 , \text{m/s}^2 \times 10 , \text{m} \]
\[ PE = 10 \times 9.81 \times 10 = 981 , \text{J} \]
So, the potential energy of the boy is \( 981 , \text{Joules} \).