A 3 kg toy car sits at the highest point of a 13 m high hill. The car is gently pushed forward until it begins to roll down the slope. Assuming the car coasts freely, without any friction or air resistance, how much kinetic energy (KE) and potential energy (PE) will it have at each of the indicated points? Complete the diagram by placing the correct label in each bin. Use g = 10 m/s^2 for the acceleration due to gravity. The diagram is not drawn to scale.

In each situation shown in the figure below, a ball moves from point A to point B. For each case, find an algebraic expression for the change in potential energy in terms of the parameters given in the figure. You can assume that the radius of the ball is negligible. (Use any variable or symbol stated on each corresponding picture along with the following as necessary: g.) Δυ, Case 1 AU Case 2 %3D AU Case 3 m Case 1 R Case 2 B m m R 2R Case 3 1053 DM

The block moves from point B at a velocity of 4,95 m:s1 up a rough inclined plane to point C. The speed of the block at point C is 2 m:s1. Point C is 0,5 m above the horizontal, as shown in the diagram below. During its motion from B to C a uniform frictional force acts on the block. 1.Use energy principles to calculate the work done by the frictional force when the 2 kg block moves from point B to point C

Calculate Kinetic Energy, Potential Energy, Rest Energy and Work using the following information. Force = 500,000 cN %3D Mass = 200,000 g Speed (velocity) = 5 m/s %D Height = 1500 mm %3D Distance = 3 miles (1 mile = 1.6 km) %3D %3D We also know that acceleration of gravity, g = 10 m/s^2 and %3D speed of light, c = 3 x 10^8 m/s. First do all necessary unit changes for all the above quantities and then show all work to calculate Work, KE, PE and RE. BIU A Paragraph + v II II II II II II II II II II II II II II II II II II II II lili II II II II II II II II

1. A roller-coaster car with a mass of 1200 kg starts at rest from a point 20 m above the ground. At point B, it is 9 m above the ground. [Express your answers in kilojoules (kJ).] a. What is the initial potential energy of the car? b. What is the potential energy at point B? c. If the initial kinetic energy was zero and the work done against friction between the starting point and point B is 40 000 J (40 kJ), what is the kinetic energy of the car at point B 2. The time required for one complete cycle of a mass oscillating at the end of a spring is 0.80 s. What is the frequency of oscillation?

Consider a rope lowering a mass m=2.45kg at a constant speed v=8.73 m/s down a distance of d=5.72 m as shown in the figure below.  c) What is the work done on the mass by the tension in the rope as it descends a distance d=5.72 m? d) What is the change in kinetic energy of the mass as it descends a distance d=5.72 m?

A woman runs up a flight of stairs. The gain in her gravitational potential energy is 1000 J. If she runs up the same stairs at half the speed, her gain in gravitational potential energy will be . . .  Group of answer choices 500 J 2000 J 100 J 1000 J

Which of the following best describes the kinetic and potential energy of the skateboarder below? Group of answer choices They have the highest potential energy at point A and the highest kinetic energy at point C They have the highest potential energy at point B and the highest kinetic energy at point C They have the highest potential energy at point A and the highest kinetic energy at point B They have the highest potential energy at point C and the highest kinetic energy at point A

An object moves along the x axis, subject to the potential energy shown in the figure. (Figure 1) The object has a mass of 2.4 kg and starts at rest at point A. A) What is the object's speed at point B? B) What is the object's speed at point C? C) What is the object's speed at point D? D) What are the turning points for this object? Check all that apply. Point A Point B Point C Point D Point E

A cart is sliding along a frictionless track. It is moving with a speed of 10 m/s at position A on the track shown in the figure. What is the speed of the bead at point C?