5. A 40.0-kg object is resting at the top of a table 0.60 m above ground level. The object is then picked up and moved to a height of 2.70 m above ground level. What is the change in the gravitational potential energy of this object? (g = 9.81 m/s²)
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- A 6.50 kg ball hangs from the end of a 1.75 m rope. The ball is pulled back until the rope makes a 45 degrees angle with the vertical. What is the gravitational potential energy of the system? 32.49 J 52 J 78.82 J 111.48 J 16. A 16500 kg car travels at a speed of 12.5 m/s. What is its kinetic energy? 130000 J 1289062.50 J 1003125 J 206250 J 16000 JA. Calculate the work done by the force of gravity when a 7.0 kg object is lifted to a height of 46.0 m above the ground.B. Calculate the velocity with which the object strikes the ground if dropped from that height, using the principle of conservation of energy.C. Calculate the kinetic energy (KE) and the potential energy (PE) of the object at apoint halfway on the path (i.e. at a height of 23.0 m) after it is dropped. To do this, you need to find the object's velocity at that position using an equation of motion. What is the total energy of the object at that point? Does this verify the principle of conservation of energy?What is the potential energy in J of a bungee jumper standing on a 0.109 km bridge that weighs 85 kg? O9.1 x 104 J '9.09 x 103 J 90889.65 9.09 x 104 J
- 2. A 900 kg elevator is raised by an electric motor up from the basement to the third floor, a vertical distance of 9.9 m, over the course of 5 s. There's a friction force of 125 N between the elevator and the elevator shaft. A. Draw a free body diagram of the elevator. Which forces are conservative? Which forces are dissipative? Which are external? B. How much potential energy does the elevator gain as its lifted? C. What is the work done by friction on the elevator? Is it positive or negative?1. So imagine a wombat named Horace at rest. It's somehow on the top of a long telephone pole. It has a mass of 44.0 kg. It then slides down the pole reaching a final speed of 5.95 m/s just before reaching the bottom 12.4 later. (a) Calculate the change in the gravitational potential energy of Horace from top to bottom. (b) What is Horace's kinetic energy just before reaching the bottom? (c) What is the average force of friction that acts on Horace while sliding?7. A force parallel to the x-axis acts on a particle moving along the x-axis. The force produces a potential energy U(x) given by U(x) = ax² + Bx4 where a = -0.70 J/m² 1.50 J/m². What is the force, magnitude and direction, when the particle is at X = 1.5 m? At what positions would the force be zero? and B =
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