write the correct, rounded answer (to the nearest tenth) with the correct units and circle/box your answer
You are riding on a roller coaster at your favorite amusement park. At the top of the first hill, your cart pauses momentarily. Determine the energy type that exists at that moment, is it potential or kinetic energy? The mass of the cart with everyone in it is 12.5 kg, at its maximum speed it travels 16.3 m/s and the height of the hill is 13.5 m. Calculate the energy the cart has at that moment.
At the top of the first hill, the energy type that exists is potential energy.
To calculate the potential energy of the cart at that moment, we can use the formula:
Potential Energy = mass * gravity * height.
Given:
Mass = 12.5 kg
Height = 13.5 m
Using the standard value for gravity, which is approximately 9.8 m/s^2:
Potential Energy = 12.5 kg * 9.8 m/s^2 * 13.5 m
Calculating this equation gives us a potential energy of 1687.25 Joules.
Therefore, the energy the cart has at that moment is 1687.3 Joules (rounded to the nearest tenth).