A 20kg wagon starts at rest from point A, then slides down the rails. Assume the track is frictionless. The height at point A is 10m and 5m at point D as shown in the attached image. What is the wagon's speed at point C?  If at point C, the wagon collides and sticks to another identical 20kg wagon, what would be the speed of both wagons after the collision? After the collision, would the wagons have enough kinetic energy to be able to make it to the top, at point D?

A red toy car with a mass of 2kg starts at rest. A man performs 196 joules of work on the car. What is the toy cars final velocity?

A box with a mass of 7.0kg is lifted very slowly (with essentially zero acceleration), though a height of 1.5m, in order to place it upon the shelf of a closet. What is the increase in potential energy of the box? How much work was required to lift the box to this position?

Use Diagram 1 below to answer the following questions. Assume the speed at Position 1 is 10 m/s, the mass of the roller coaster car is 250 kg, the track is frictionless, and that no work is done by air resistance. Position 3 is higher than Position 4, but lower than Position 1. 3 35 m 15 m 2. hat is the kinetic energy of the roller coaster car at Position 2? 三 三 DELL

Show and explain the complete solution with the formulas. Label the symbols used accordingly.

A 0.25 kg ball is suspended from a light 1.2 m string as shown. The string makes an angle of 35° with the vertical. Let U = 0 when the ball is at its lowest point (θ = 0). Part A: Draw diagram and label coordinates.  Part B: What is the gravitational potential energy, in joules, of the ball before it is released?  Part C: What will be the speed of the ball, in meters per second, when it reaches the bottom?  Part D: Does replacing the ball by a steel sphere of mass 0.75kg at the end increase the maximum speed?

Please solve and answer the question correctly. Thank you!

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…