Calculate the speeds at control points

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Reference no: EM132579272

Simulation Activity : Energy Skate Park

Part I: Friction Parabola Track
1. Click Reset and observe the energy bars as the skater moves back and forth. As the skater descends his kinetic energy (green) ____________ and his potential energy (blue)_________. The total energy bar_____________.
2. Considering the bottom of the parabola as a reference line, measure the maximum height (h) the skater climb. h = ___
3. The gravitational potential energy at the maximum height is equal to _____Joules.
4. The skaters speed at the minimum point of the parabola is equal to ______m/s
5. Change the skateboarder (say Bulldog) and repeat steps 2, 3, and 4.
a. h = ______ m
b. gravitational potential energy = ______ Joules
c. speed = _____ m/s
6. Is the law of conservation of energy affected by the mass of the skater? Yes/no
7. Now click Reset and observe the Energy versus Position graph as the skater moves back and forth. Do not forget to put the reference line at the minimum point of the parabola
a. Pause the simulation at the bottom of the parabola.
i. Kinetic energy = ______Joules
ii. Potential energy = ______Joules
iii.
b. Run the simulation again, and then pause it at the maximum height.
i. Kinetic energy = ______Joules
ii. Potential energy = ______Joules
8. Apply the following settings for the simulation to answer the proceeded questions.
a. Stop the simulation
b. Click Reset then return skater buttons
c. Adjust the coefficient of friction to one-eighth mark on the slide
d. Open the Energy versus Time graph
e. Run the simulation for 20 seconds
9. What are the energies at 12 seconds and 17 seconds
a. at 12 seconds: K = ________ J U = ________ J Eth = ________ J
b. at 17 seconds: K = ________ J U = ________ J Eth = ________ J
10. Calculate the change and total energies
a. ΔK = ________ J ΔU = ________ J ΔEth = ________ J
b. Total energy: ΔE = ΔK + ΔU + ΔEth = _________ J

Part II: Double Well (Roller Coaster)

1450_figure.jpg

1. Click Reset and return skater buttons and put the reference line as shown above. Measure height of each control point from the reference line and calculate the potential (U), kinetic (K), and total (E) energies.
a. At point 1: h1 = ___ m. U1 = ______J K1 = ______J E1 = ______ J
b. At point 2: h2 = ___ m. U2 = ______J K2= ______J E2 = ______ J
c. At point 3: h3 = ___ m. U3 = ______J K3 = ______J E3 = ______ J
d. At point 4: h4 = ___ m. U4 = ______J K4 = ______J E4 = ______ J

2. Calculate the speeds at control points 3 and 4 using the kinetic energies result you calculated in the previous step.
a. The skaters speed at point 3: v3 = _______m/s
b. The skaters speed at point 4: v4 = _______m/s
c.
3. Now open the Energy vs position graph and read the potential (U), kinetic(K), and total (E) energies at the control points
a. At point 1: U1 = ______J K1 = ______J E1 = ______ J
b. At point 2: U2 = ______J K2= ______J E2 = ______ J
c. At point 3: U3 = ______J K3 = ______J E3 = ______ J
d. At point 4: U4 = ______J K4 = ______J E4 = ______ J
4. Calculate the heights at each of the control points using the information from step 3.
a. h1 = ____ m, h2 = ____ m, h3 = ____ m, h4 = ____ m, h5 = ____ m.
5. How the shape of potential and kinetic energies do related to the shape of the track?
a. Potential energy to the track: _____________________________________
b. Kinetic energy to the track: ________________________________________
6. If you change the location to Moon instead of Earth, will the shape the energies change? If not, what is changed?
7. Apply the following settings for the simulation to answer the proceeded questions.
a. Stop the simulation
b. Click Reset then return skater buttons
c. Adjust the coefficient of friction to one-eighth mark on the slide
d. Open the Energy versus Time graph
e. Run the simulation for 20 seconds
8. What are the energies at 9 seconds and 16 seconds
a. at the 9th second: K = ________ J U = ________ J Eth = ________ J
b. at the 16th second: K = ________ J U = ________ J Eth = ________ J
9. Calculate the change and total energies. Eth is thermal energy
a. ΔK = ________ J ΔU = ________ J ΔEth = ________ J
b. Total energy: ΔE = ΔK + ΔU + ΔEth = _________ J

Follow up Questions:

1. At the highest point kinetic energy is zero / maximum while the potential energy is zero /maximum.
2. At the lowest point kinetic energy is zero / maximum while potential energy is zero /maximum.
3. Mass affects / does not affect the conservation of energy.
4. How much potential energy does the 60. kg skater have before she starts her ride, 12 m abovethe ground? ____
5. How much kinetic energy does a 60.0 kg skater have traveling with a velocity of 4 m/s? ___________________
6. How fast must a 20. kg skater travel to have a kinetic energy of 360 Joules? ____________________________
7. How high must a 2.0 kg basketball be thrown so it has a potential energy of 160 J? _______________________
8. How fast must the 2.0 kg basketball be thrown upward to achieve the same 160 J? _______________________
9. If a 75kg skater starts his skate at 8.0m, at his lowest point, he will have a velocity of _____________________
10. In the above question, all the potential energy became kinetic energy. How much work was done? __________

Reference no: EM132579272

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