Problem 6: 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 (0 = 0). What is the gravitational potential energy, in joules, of the ball before it is released? What will be the speed of the ball, in meters per second, when it reaches the bottom? (from Problem 9) Does replacing the ball by a steel sphere of mass 0.75 kg at the end increase the maximum speed? L
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- A camera weighing 15 N falls from a small drone hovering 35 m overhead and enters free fall. What is the gravitational potential energy change of the camera from the drone to the ground if you take a reference point of a. the ground being zero gravitational potential energy? APE b. The drone being zero gravitational potential energy? APE What is the gravitational potential energy of the camera (with the reference point of zero gravitational potential energy taken to be a second person looking out of a building 30 m from the ground) c. before it falls from the drone? PE=| d. after the camera lands on the ground? PE Submit QuestionThe Kingda Ka is the tallest rollercoaster, standing at an astounding 456 meters! Wow! Suppose you are on the top of Kingda Ka, in a cart that has a mass of 4500 kg. What would your velocity be when you reach the bottom of the hill (assume there is no air friction, and the bottom of the hill is at ground level). Does the total energy vary throughout the drop?The Elf on the Shelf has mass 0.500 kg and is sitting on a shelf some height y above the ground.The gravitational potential energy is 49.0 J? The Elf is bumped and falls off the shelf. How fast will the Elf be moving just before it strikes the ground?
- 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 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?A 0.15 kg apple is hanging in a tree, 3.0 m above the ground. How much gravitational potential energy does the apple have?
- 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?On the first Moon landing, an astronaut dropped a mass to measure the acceleration of objects in free fall on the Moon. A mass of 0.500 kg that was dropped from a height of 1.50 m reached the Moon's surface in 1.36 s. What was the initial gravitational potential energy of the mass, relative to the surface of the Moon? Note: g on the Moon is not 9.81 N/kg.Q 3. Three cars are traveling at 30km/h, 50km/h and 200km/h, respectively. Each speed corresponds to a certain kinetic energy. a) Note down the expression for the kinetic energy of a moving object with a velocity v. b) Note down the potential energy for an object lifted up from the ground to height h. c) Based on a) and b) find an expression for the height as a function of velocity by assuming that the kinetic energy equals the potential energy of the same object. In other words find h(v) from which the object would need to be dropped and calculate the height so it has a speed of 30 km/h, 50 km/h or 200 km/h on impact with the ground. Assume free fall without air resistance d) Comment on your chances of survival if you are involved in head-on collisions for the three different speeds.