A diver standing on the diving board has a mass of 89.0 kg and has a gravitational potential energy of 2.50 x 103 J. Determine how high the diver is above the water surface. (Assume the water is at ground level).Use 9.81 m/s2 as the value for gravity.
To determine the height of the diver above the water surface, you can use the formula for gravitational potential energy:
Gravitational Potential Energy = mass × gravity × height
Rearranging the formula, we can solve for height:
Height = Gravitational Potential Energy / (mass × gravity)
Plugging in the given values:
Height = 2.50 x 10^3 J / (89.0 kg × 9.81 m/s^2)
Calculating this expression:
Height ≈ 2.82 meters
Therefore, the diver is approximately 2.82 meters above the water surface.