A 6.50 kg ball hangs from the end of a 1.75 m rope. The ball is pulled back until the rope makes a 45 degrees angle with the vertical. What is the gravitational potential energy of the system? 32.49 J 52 J 78.82 J 111.48 J 16. A 16500 kg car travels at a speed of 12.5 m/s. What is its kinetic energy? 130000 J 1289062.50 J 1003125 J 206250 J 16000 J

A roller coaster of mass 80.0 kg is moving with a speed of 12.0 m/s at position A as shown in the figure. The vertical height above ground level at position A is 10.0 m. Neglect friction. 10 m 7 m - Potential Energy 0 What is the total mechanical energy of the roller coaster at point A? 5760 J 2080 J 37000 J 7840 J Page 18 of 30 13600 J

What is the potential energy in J of a bungee jumper standing on a 0.109 km bridge that weighs 85 kg? O9.1 x 104 J '9.09 x 103 J 90889.65 9.09 x 104 J

When an 81.0 kg adult uses a spiral staircase to climb to the second floor of his house, his gravitational potential energy increases by 2.00×10³ J. By how much does the potential energy of a 18.0 kg child increase when the child climbs a normal staircase to the second floor?

A 54 kg person climbs a set of stairs at a constant speed up a height of 3.4 m in 32 s. Calculate the gravitational potential energy at the top of the stairs.    a) 1.8 X 10² J   b) 5.3 X 10² J   c) 1.7 X 10³ J   d) 1.8 X 10³ J

Below is the potential energy diagram for a 50 gram particle. If the particle's mechanical energy is 7J: 10 U (1) 9 8 7 6 5 4 3 2 1 0 1 2 3 4 6 7 8 9 10 11 12 x (cm) A. Draw a line corresponding to the total Energy on the diagram. B. Assume the particle is moving in the positive x direction. Where is the particle speeding up? C. Assume the particle is moving in the positive x direction. Where is the particle lowing down? D. Where are any turning points in the particle's motion? E. What is the particle's speed at x=5 cm? F. What is the particle's maximum kinetic energy? Where does that occur? G. Suppose the particle's energy is decreased to 4J while the particle is between positions x = 7 cm and x = 9 cm. What is the particle's new maximum speed? Where does that occur?

2. A 1050 J of work is done by a post-person when pushing a parcel with a mass of 33.2 kg with a horizontal force at a constant speed across a level, rough surface for 8.17 m. Draw a free-body diagram. b. What is the horizontal force applied by the post person? c. What is the coefficient of kinetic friction between the parcel and the surface?

Karen lifts a 10.0 kg box up from the ground to a height of 1.50 meters. He then lowers the box to 0.630 m above the ground. What is the change in potential energy of the box in Joules?  change in potential energy between final and inital height.

A 2.5 kg bowling ball is tied to a 1m long string attached to the ceiling. The ceiling is 5 m above the floor. What is its change in potential energy relative to the floor? 31.3 J O 122.5 J 98.0 J O 24.5 J

A 500 kg cart rests atop a hill 30.0 m high on a roller coaster. Its gravitational potential energy is measured relative to the bottom of the hill. The cart then rolls down the hill. Which of these best describes what is happening in this situation?   a. the total mechanical energy of the cart is decreasing, the kinetic energy of the cart is increasing, and the gravitational potential energy of the cart is increasing   b. the total mechanical energy of the cart is increasing, the kinetic energy of the cart is increasing, and the gravitational potential energy of the cart is increasing   c. the total mechanical energy of the cart is increasing, the kinetic energy of the cart is increasing, and the gravitational potential energy of the cart is decreasing   d. the total mechanical energy of the cart is increasing, the kinetic energy of the cart is decreasing, and the gravitational potential energy of the cart is increasing   e. the total mechanical energy of…