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.
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.
make sure to round your answers to the nearest tenth
1A At the top of the first hill, the energy type that exists is potential energy. To calculate the potential energy, we can use the formula:
Potential energy (PE) = mass (m) * gravity (g) * height (h)
where the mass is 12.5 kg, gravity is approximately 9.8 m/s^2, and height is 13.5 m. Plugging in these values into the formula:
PE = 12.5 kg * 9.8 m/s^2 * 13.5 m = 1698.75 Joules
Therefore, the cart has approximately 1698.8 Joules of potential energy at that moment.
2A When going down the hill, the energy type that exists is kinetic energy. To calculate the kinetic energy, we can use the formula:
Kinetic energy (KE) = 1/2 * mass (m) * velocity^2 (v^2)
where the mass is 12.5 kg and the velocity is 16.3 m/s. Plugging in these values into the formula:
KE = 1/2 * 12.5 kg * (16.3 m/s)^2 = 1/2 * 12.5 kg * 265.69 m^2/s^2 = 1666.12 Joules
Therefore, the cart has approximately 1666.1 Joules of kinetic energy at that moment.