Use appropriate formula and calculation

Work & Energy - Set 1 WeD. 3/131 24 AP Physics . Practice Problems Solve the following problems: show the equation used, substitution and answers with units. friction coaster begins at rest 120-meters above the ground, as shown. Assume no friction from the wheels and air, and that no energy is lost to heat, sound, and so on. The radius of the loop is 40-meters an a. Find the speed of the roller coaster at points B, C. D. E. F, G, and H. b. Assume that 25% of the initial potential energy of the coaster is lost due to heat, sound, and air resistance along its route. How far short of point H will the coaster stop 2. A 0.10-kilogram solid rubber ball is attached to the end of an 0.80-meter length of light thread. The ball is swung in a vertical circle, as shoes shown in the diagram above. Point , the lowest point of the circle, is 0.20-meter above the floor. The speed of eed of the ball at the top of the circle is 6.0-meters per second, and the total energy of the ball is kept constant a. Determine the total energy of the ball, using the floor as the zero point for gravitational potential energy. b. Determine the speed of the ball at point P, the lowest point of the circle. i. the top of the circle; i. the bottom of the circle. The ball only reaches the top of the circle once before the thread breaks when the ball is at the lowest point of the circle. d. Determine the horizontal distance that the ball travels before hitting the floor. . A simple pendulum consists of a bob of mass 1.8-kilogram attached to a string of length 2.3-meters. The pendulum is held at an angle of 30 from the vertical by a light horizonta string attached to a wall, as shown above. on the figure below, draw a free-body diagram showing and labeling the forces on the bob in the position shown above. vino lind orT sted .b (b) Calculate the tension in the horizontal string. (c) The horizontal string is now cut close to the bob, and the pendulum swings down. Calculate the speed of the bob at its lowest position. Two contraptions on frictionless nardactionless wheels are compressing day . Each 0.5-meters compared to its uncompressed come on Each of the 500-kilogram vehicles is stationary and they are connected by a string. The string is cut! Find the speeds of the masses once they lose contact with the spring. m -40kg An ideal spring of unstretched length 0.20-meters is placed horizontally on a frictionless n above. One end of the spring is fixed and the other end is attached to a of mass M = 8.0-kilogram. The 8.0-kilogram block is also attached to a massler string that passes over a small f s m = 4.0-kilogram hangs from the other end of the string. When worstand the 4.0-kilogram block is equilibrium, the length of the spring is 0.25-meters and 0.70-meters above the floor. (a) On the figures below, draw free-body diagrams showing and labeling the forces on the system is i M = 8.0-kilogram m = 4.0-kilogram 0 b) Calculate the tension in the string. Calculate the force constant of the spring. The string is now cut at point P. (d) Calculate the time taken by the 4.0-kilogram block to hit the floor. (e) Calculate the maximum speed attained by the 8.0-kilogram block as it oscillates back and forth