Directions: The diagram below represents a 2-kilogram object on a frictionless track. The object is released from rest at point A, and at point E its gravitational potential energy is 0. Use the diagram to answer any questions that follow.

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.

Several physical situations are described below. For each situation, simplify the work-energy equation by canceling any zero terms and any energy terms (whether KE or PE) which are unchanging. Explain each term which gets canceled. A Hot Wheels car starts from rest on top of an inclined plane and rolls down the incline through a loop and along a horizontal surface. Friction and air resistance have a significant effect on the car. Simplification of Work-Energy Equation KEi + PEi + Wnc = KEf + PEf

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

A 73.1-kg skier rides a 2520-m-long lift to the top of a mountain. The lift makes an angle of 17.2 ° with the horizontal. What is the change in the skier's gravitational potential energy? Number i Units

The diagram above is the potential-energy diagram for a 520 g particle that is released from rest at point A. What is the particle's speed (in m/s) at B, C, and D?

Conservation and Energy Q5: please answer all parts and explain reasoning (even if minor)

There are three different ways to get from location A to location E in the diagram below. In path 1, you take an elevator directly from location A straight up to location E. In path 2, you walk from A to B, climb a rope from B to C, then walk from C to E. In path 3, you walk from location A to D, then climb a ramp up to location E. The following questions focus on the work done on a 51 kg person by the Earth while following each of these paths. B = E A Taking the origin at location A, the coordinates of the other locations are: 7 B = (-3, 0, 0); 7c = ( -3, 12, 0 ) ; p = ( 39, 0, 0); > = { 0, 12, 0). (a) Path 1 (A to E): What is the displacement vector Ar for the path from A to E on the elevator? AT = (0,12,0) = D m (b) What is the gravitational force acting on the person along path 1, as a vector? (-0, -3.2e3,0) N X (c) What is the work done by the gravitational force of the Earth on the 51 kg person during the elevator ride from A to E? W1 F.Ar (d) Path 2 (A to B to C to E): What is…