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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**.