Gravitational and elastic potential energy-Practice problems-Gr9&10

1. A 55 kg skier is at the top of a slope, as shown in the illustration below. At the initial point A, the skier is 10.0 m vertically above the final point B.
a. Set the zero level for gravitational potential energy at B, and find the gravitational potential energy associated with the skier at A and at B. Then find the difference in potential energy between these two points
b. Repeat this problem with the zero level at point A.
c. Repeat this problem with the zero level midway down the slope, at a height of 5.0 m
2. A 2.74 g coin, which has zero potential energy at the surface, is dropped into a 12.2 m well. After the coin comes to a stop in the mud, what is its potential energy with respect to the surface?
3. In 1992,Ukrainian Sergei Bubka used a short pole to jump to a height of 6.13 m. If the maximum potential energy associated with Bubka was 4.80 KJ at the midpoint of his jump, what was his mass?
4. In 1987,Stefka Kostandinova from Bulgaria set a new women’s record in high jump. It is known that the ration of the potential energy associated with Kostandinova at the top of her jump to her mass was 20.482 m2/s2.What was the height of her record jump?
EPE:
1. In 1992,David Engwall of California used a slingshot to launch a dart with a mass of 62 g. The dart travelled a horizontal distance of 477 m. Suppose the slingshot had a spring constant of 3x104 N/m. If the elastic potential energy stored in the slingshot just before the dart was launched was 1.4x102 J, how far was the slingshot stretched?
2. A spring with a force constant of 5.2 N/m has a relaxed length of 2.45
m. When a mass is attached to the end of the spring and allowed to come to rest, the vertical length of the spring is 3.57 m. Calculate the elastic potential energy stored in the spring.
3.A 70.0 kg stuntman is attached to a bungee cord with an unstretched length of 15.0 m. He jumps off a bridge spanning a river from a height of 50.0 m. When he finally stops, the cord has a stretched length of 44.0 m. Treat the stuntman as a point mass, and disregard the weight of the bungee cord. Assuming the spring constant of the bungee cord is 71.8 N/m, what is the total potential energy relative to the water when the man stops falling?
Work, energy and power playlist:
GPE-QC#1 (0:00)
GPE-Qc#2 (7:47)
GPE-Qc#3 (9:35)
GPE-Qc#4 (12:34)
EPE-QC#1 (14:20)
EPE-QC#2 (18:35)
EPE-QC#3 (21:00)