While leaning out a window that is 6.4 m above the ground, you drop a 0.60 kg basketball to a friend at ground level. Your friend catches the ball at a height of 1.2 m above the ground. Determine the following. (a) the amount of work done (in J) by the force of gravity on the ball (b) the gravitational potential energy (in J) of the ball-earth system, relative to the ground when it is released (c) the gravitational potential energy (in J) of the ball-earth system, relative to the ground when it is caught (d) the ratio of the change (PEf − PE0) in the gravitational potential energy of the ball-earth system to the work done on the ball by the force of gravity

In the figure, a frictionless roller coaster car of mass m = 992 kg tops the first hill with speed v0 = 16.7 m/s at height h = 40.7 m. How much work does the gravitational force do on the car from that point to (a) point A, (b) point B, and (c) point C? If the gravitational potential energy of the car-Earth system is taken to be zero at C, what is its value when the car is at (d) B and (e) A? I know the first one is 0 J.

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?

A 0.27-kg stone is held 1.2 m above the top edge of a water well and then dropped into it. The well has a depth of 5.6 m.   (a) Taking y = 0 at the top edge of the well, what is the gravitational potential energy of the stone–Earth system before the stone is released? (b) Taking y = 0 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?

A raindrop of mass 3.20 x 10-5 kg falls vertically at constant speed under the influence of gravity and air resistance. Model the drop as a particle. (a) As it falls 80 m, what is the work done on the raindrop by the gravitational force? J (b) What is the work done on the raindrop by air resistance? J

A 199 kg crate hangs from the end of a rope of length L = 13.7 m. You push horizontally on the crate with a varying force F to move it distance d = 4.25 m to the side (see the figure). (a) What is the magnitude of F when the crate is in this final position? During the crate's displacement, what are (b) the total work done on it, (c) the work done by the gravitational force on the crate, and (d) the work done by the pull on the crate from the rope? (e) Knowing that the crate is motionless before and after its displacement, use the answers to (b), (c), and (d) to find the work your force F does on the crate.

Given: A shooting guard throws a basketball m = 1 kg straight up with an initial speed of v0 = 5.5 m/s. He releases the ball at shoulder height h0 = 1.95 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.  What is the height, hm in meters?

You drop a 2.50 kg book to a friend who stands on the ground at distance D-13.0 m below. If your friend's outstretched hands are at distance d-1.60 m above the ground (see the figure), (a) how much work W, 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) W. (f) AU, (g) U at the release point, and (h) U at her hands. 10000 El

A 1.80 kg snowball is fired from a cliff 12.0 m high. The snowball's initial velocity is 16.4 m/s, directed 27.0° above the horizontal. (a) How much work is done on the snowball by the gravitational force during its flight to the flat ground below the cliff? (b) What is the change in the gravitational potential energy of the snowball-Earth system during the flight? (c) If that gravitational potential energy is taken to be zero at the height of the cliff, what is its value when the snowball reaches the ground? (a) Number (b) Number (c) Number Units Units Units

A point guard launches a basketball m = 1 kg straight up with an initial speed of v0 = 6.5 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.