1A 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. write the correct, rounded answer (to the nearest tenth)
2A You are riding on a roller coaster at your favorite amusement park. Now you are riding down the hill, enjoying the speed at which you are moving and you are at the point where in the next second, you will be going back up hill. 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. write the correct, rounded answer (to the nearest tenth)
1A At the top of the first hill, the energy type that exists is potential energy.
To calculate the energy the cart has at that moment, we can use the formula for potential energy:
Potential Energy = mass * gravity * height
Potential Energy = 12.5 kg * 9.8 m/s^2 * 13.5 m
Potential Energy = 1721.25 J
Therefore, the cart has 1721.25 J of potential energy at that moment.
2A While riding down the hill, the energy type that exists is kinetic energy.
To calculate the energy the cart has at that moment, we can use the formula for kinetic energy:
Kinetic Energy = 0.5 * mass * velocity^2
Kinetic Energy = 0.5 * 12.5 kg * (16.3 m/s)^2
Kinetic Energy = 0.5 * 12.5 kg * 265.69 m^2/s^2
Kinetic Energy = 1661.8 J
Therefore, the cart has 1661.8 J of kinetic energy at that moment.