gravitational potential energy at Point A.

1. Refer to figure 1. The 10.0 kg green cart travels down a ramp - from point A to B. Calculate its starting potential energy, kinetic energy at the bottom of the ramp, and its velocity coming off the bottom of the ramp. If the cart coasts from points B to C, did it do any work? How far up the 2nd ramp does the cart go as measured from the ground? 10.0m Figure 1 B

A woman at the gym lifts a weight upwards. a) Does she do positive work on the weight, negative work on the weight, or no work on the weight? Explain how you know. b) Does the Earth (i.e. the force of gravity) do positive work on the weight, negative work on the weight, or no work on the weight? Explain how you know.

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?

A section of a roller coaster is designed like the picture below. A roller coaster car with a mass of 230.0kg is released from rest at the top of the hill at Point A to begin the ride. Assume that the reference level is set to the ground, and that energy is not lost to other forms (i.e. heat, sound, etc.). What is the total mechanical energy of this roller coaster car (at any point)?

ma (m=56.2 kg) is traveling at a speed of 12.8 m/s at the top of a 19.5-m highroller coaster loop.a. Determine Ima's kinetic energy at the top of the loop.b. Determine Ima's potential energy at the top of the loop.c. Assuming negligible losses of energy due to friction and air resistance,determine Ima's total mechanical energy at the bottom of the loop (h=0m).d. Determine Ima's speed at the bottom of the loop.*only answer d

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…