How much potential energy does DeAnna with a mass 57.0 kg, gain when he climbs a gymnasium rope a distance of 3.7 m?

PE=mgh=57 x 9.8 x3.7 =...

To calculate the potential energy gained by DeAnna when climbing the gymnasium rope, we can use the formula:

Potential Energy = mass * gravitational acceleration * height

Given:
mass (m) = 57.0 kg
height (h) = 3.7 m
gravitational acceleration (g) = 9.8 m/s^2 (approximate value on Earth)

Plugging in the values into the formula, we can calculate:

Potential Energy = 57.0 kg * 9.8 m/s^2 * 3.7 m

Potential Energy = 32,416.2 Joules

Therefore, DeAnna gains approximately 32,416.2 Joules of potential energy when climbing the gymnasium rope.