A 65 kilogram person stands on a diving board 15 meters above the water. figure the GPE. show formula and work
GPE = mgh
m=65 kg (in the question)
h=15 m (in the question)
g=9.8 m s^-2 (assumed)
hence find GPE relative to the water.
To calculate the gravitational potential energy (GPE) of an object, you can use the formula:
GPE = mass × gravity × height
Here's how you can calculate the GPE for a 65-kilogram person standing on a diving board 15 meters above the water:
1. Determine the mass of the person: The given mass is 65 kilograms.
2. Determine the acceleration due to gravity (g): On Earth, the standard value is approximately 9.8 meters per second squared.
3. Determine the height: The given height is 15 meters.
Now, plug the values into the formula and calculate:
GPE = 65 kg × 9.8 m/s^2 × 15 m
GPE = 9,570 Joules
Therefore, the gravitational potential energy of the 65-kilogram person standing on a diving board 15 meters above the water is 9,570 Joules.