To calculate the potential energy (PE) of the diver before they jump, we can use the formula:
\[ PE = mgh \]
Where:
- \( m \) = mass of the diver = 65 kg
- \( g \) = acceleration due to gravity = 9.8 N/kg
- \( h \) = height of the dive platform = 10.0 m
Now, we can plug in the values:
\[ PE = 65 , \text{kg} \times 9.8 , \text{N/kg} \times 10.0 , \text{m} \]
Calculating this:
\[ PE = 65 \times 9.8 \times 10 = 6370 , \text{J} \]
Therefore, the total potential energy of the diver before they jump is 6,370 J.