Draw a diagram of the roller coaster that you just solved the problems for. Label the position of the cart in Question 1A as A on your roller coaster drawing, label the position of the cart in Question 2A as B on your roller coaster drawing, and label the position of the cart in Question 3A as C on your roller coaster drawing.
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)
3A You are riding on a roller coaster at your favorite amusement park. You are traveling back up the next hill which is not quite as high as the first hill. If the potential energy at this point is 822 J and the total energy is 1669 J, what is the kinetic energy at that moment?
Unfortunately, as a text-based AI, I am unable to draw diagrams. However, I can provide you with the information you need.
1A:
- Energy type: Potential energy
- Cart position: A
- Energy calculation:
Potential energy (PE) = m * g * h
PE = 12.5 kg * 9.8 m/s^2 * 13.5 m = 1719.75 J
2A:
- Energy type: Kinetic energy
- Cart position: B
- Energy calculation:
Kinetic energy (KE) = (1/2) * m * v^2
KE = (0.5) * 12.5 kg * (16.3 m/s)^2 = 1056.3625 J
3A:
- Potential energy at this point: 822 J
- Total energy at this point: 1669 J
- Energy type: Kinetic energy
- Cart position: C
- Energy calculation:
Total energy = Potential energy + Kinetic energy
1669 J = 822 J + Kinetic energy
Kinetic energy = 1669 J - 822 J = 847 J