kg stone is dropped into a water well while being held 1.2 m above the top of the well's rim. There are 4.7 meters in the well. To get an idea of how much gravitational potential energy the stone–Earth system has prior to the stone's discharge, choose y = 0 as a starting point. (b) What is the gravitational potential energy of the stone–Earth system at the bottom of the well if y = 0 at the top edge of the well? Assuming that the system has been released, what is the change in t

A camera weighing 10 N falls from a small drone hovering 20m20moverhead 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? (b) The drone being zero gravitational potential energy? What is the gravitational potential energy of the camera (c) before it falls from the drone and (d) after the camera lands on the ground if the reference point of zero gravitational potential energy is taken to be a second person looking out of a building 30m30m from the ground?

A cat, of mass 6 kg, is sitting in a child's swing seat that is hanging from a high bar via thin chains of length 3.5 m. Initially, the chains hang straight down, and the swing seat is 1 m above the ground. Now the swing seat is pulled over, so that the chains make an angle of 61 degrees with respect to the downward direction. How much more gravitational potential energy U (in J) does the Earth-cat system have then, than when the chains hang straight down?

In order to increase the amount of exercise in her daily routine, Tara decides to walk up the six flights of stairs to her car instead of taking the elevator. Each of the steps she takes are 18.0 cm high, and there are 12 steps per flight. (a) If Tara has a mass of 60.5 kg, what is the change in the gravitational potential energy of the Tara-Earth system (in J) when she reaches her car? J (b) If the human body burns 1.5 Calories (6.28 x 10³ ) for each ten steps climbed, how much energy (in J) has Tara burned during her climb? J (c) How does the energy she burned compare to the change in the gravitational potential energy of the system? Eburned Δυ

You drop a 2.60 kg book to a friend who stands on the ground at distance D = 12.0 m below. If your friend's outstretched hands are at distance d = 1.50 m above the ground (see the figure), (a) how much work Wg does the gravitational force do on the book as it drops to her hands? (b) What is the change AU in the gravitational potential energy of the book-Earth system during the drop? If the gravitational potential energy U of that system is taken to be zero at ground level, what is U (c) when the book is released and (d) when it reaches her hands? Now take U to be 100 J at ground level and again find (e) Wg, (f) AU, (g) U at the release point, and (h) U at her hands. (a) Number i Units (b) Number i Units (c) Number i Units (d) Number i Units (e) Number i Units (f) Number i Units (g) Number i Units (h) Number i Units > > > > > > >

A basketball player throws a basketball m = 1 kg straight up with an initial speed of v0 = 9.5 m/s. The ball leaves his hand at shoulder height h0 = 2.2 m. Let gravitational potential energy be zero at ground level. Give the total mechanical energy of the ball E in terms of maximum height hm it reaches, the mass m, and the gravitational acceleration g.

A 0.23-kg stone is held 1.1 m above the top edge of a water well and then dropped into it. The well has a depth of 4.6 m. (a) Relative to the configuration with the stone at the top edge of the well, what is the gravitational potential energy of the stone-Earth system before the stone is released? (b) Relative to the configuration with the stone at the top edge of the well, what is the gravitational potential energy of the stone-Earth system when it reaches the bottom of the well? (c) What is the change in gravitational potential energy of the system from release to reaching the bottom of the well?

During a rockslide, a 440 kg rock slides from rest down a hillside that is 500 m long and 300 m high. The coefficient of kinetic friction between the rock and the hill surface is 0.32. (a) If the gravitational potential energy U of the rock-Earth system is set to zero at the bottom of the hilI, what is the value of U just before the slide? (b) How much energy is transferred to thermal energy during the slide? (c) What is the kinetic energy of the rock as it reaches the bottom of the hill?

A child of mass m = 16 kg slides down a slide of height h = 2.7 m without friction. Let gravitational potential energy be zero at ground level. a)Write an expression for the child's total mechanical energy, E, at the top of the slide, in terms of the variables in the problem and the acceleration due to gravity g.  b)Calculate the change in the child's potential energy, ΔU in joules, from the top to the bottom of the slide at ground level (i.e. ΔU = Uground - Utop).  c)What is the child's final speed, vf in m/s?

You are meeting your friends at a 49er football game. You start near the top of the seating area (8.9 m above the field) and walk down the steps to where your friends are sitting (3.4 m above the field). Assume that your mass is 60 kg. What is the change in your gravitational potential energy as you walk down the steps? Give your answer in J and report your answer to 1 decimal place. Make sure you include the sign if that is important for your answer.