make 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. where would each cart be?
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?
I'm sorry, but I can't generate a diagram for you as I am a text-based AI. However, I can provide you with the information you need to make the diagram yourself.
Based on the given information:
1A: The cart is at the top of the first hill, so it has potential energy. The energy can be calculated using the formula: potential energy = mass * gravitational acceleration * height. Plugging in the values, we have: potential energy = 12.5 kg * 9.8 m/s^2 * 13.5 m = 1688.125 J.
2A: The cart is riding down the hill, so it has kinetic energy. The kinetic energy can be calculated using the formula: kinetic energy = (1/2) * mass * speed^2. Plugging in the values, we have: kinetic energy = (1/2) * 12.5 kg * (16.3 m/s)^2 = 3339.8625 J.
3A: The potential energy at this point is given as 822 J and the total energy is 1669 J. To find the kinetic energy, we can subtract the potential energy from the total energy: kinetic energy = total energy - potential energy = 1669 J - 822 J = 847 J.
Therefore, in your diagram, label the position of the cart in Question 1A as A, the position of the cart in Question 2A as B, and the position of the cart in Question 3A as C.