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A 3.2 kg ball that is moving straight upward has 17 J of kinetic energy and its total mechanical energy is 25 J. (Assume there is no air resistance)

1. Find the gravitational potential energy of the ball.
2. What is its height above the ground?

Well, it has kinetic and potential energy

if the kinetic is 17 then the potential, m g h, is 25-17 = 8 Joules
3.2 * 9.81 * h = 8
solve for h

Did you know?

The gravitational potential energy can be determined by subtracting the kinetic energy from the total mechanical energy of a moving object. In this case, the ball has a total mechanical energy of 25 J and a kinetic energy of 17 J. By subtracting the kinetic energy from the total mechanical energy, we can find that the gravitational potential energy of the ball is 8 J. Furthermore, the height above the ground can also be calculated using the gravitational potential energy. By using the equation for gravitational potential energy (PE = mgh) and rearranging it to solve for height (h = PE/mg), we can plug in the gravitational potential energy (8 J), the mass of the ball (3.2 kg), and the acceleration due to gravity (approximately 9.8 m/s^2). By solving this equation, we can find that the height of the ball above the ground is approximately 0.258 meters.