To calculate the gravitational potential energy (GPE) of the electrician when on the 20th floor, we can use the formula:
\[ \text{GPE} = m \cdot g \cdot h \]
where:
- \( m \) is the mass of the electrician (in kg),
- \( g \) is the acceleration due to gravity (approximately \( 9.81 , \text{m/s}^2 \)),
- \( h \) is the height above the ground (in meters).
Given:
- \( m = 50 , \text{kg} \)
- \( g = 9.81 , \text{m/s}^2 \)
- \( h = 100 , \text{m} \)
Now, substituting the values into the formula:
\[ \text{GPE} = 50 , \text{kg} \cdot 9.81 , \text{m/s}^2 \cdot 100 , \text{m} \]
Calculating this:
\[ \text{GPE} = 50 \cdot 9.81 \cdot 100 = 49050 , \text{J} \]
So, the gravitational potential energy of the electrician when on the 20th floor is 49,050 Joules.
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