Imagine you lift a book from the ground to the top of the table. Does the increase in gravitational potential energy depend on (a) the path of the book? (b) the time it takes to lift the book? (c) the mass of the book? (d) the height of the table? (e) the effort you put into lifting the book? Make sure to explain your reasoning for each. (Note: Does it matter which form of gravitational potential energy you use to answer this question?)

Let a bag of mass 'm' is being raised to a height 'h' from the floor of your classroom. Whatwill be the work done by the applied force (Fa) and gravitational force (Fg)?

You are given a cart with mass m and initial velocity v at the top of a ramp that is h meters high. If m=250 kg, v=10m/s and h= 100m, calculate the kinetic energy, potential energ, speed, and total energy at heights h, 3h/4, h/2,h/4 and 0

The force of attraction on an object below Earth’s surface is directly proportional to its distance from Earth’s center. Find the work done in moving a weight of w lb located a mi below Earth’s surface up to the surface itself. Assume Earth’s radius is a constant r mi.

If you are running with speed of 6 m/s and your weight is 800 N. Find out (a)your mass, (b) your kinetic energy, (c) If you live on 2nd floor that is 5 m above the ground, then how much potential energy you will have.

Consider a ball thrown straight up in air. At what position is its kinetic energy at a maximum? Where is its gravitational potential energy at a maximum?

Two stones, one with twice the mass of the other, are thrownstraight up and rise to the same height h. Compare theirchanges in gravitational potential energy (choose one): (a)They rise to the same height, so the stone with twice the masshas twice the change in gravitational potential energy. (b)They rise to the same height, so they have the same changein gravitational potential energy. (c) The answer depends ontheir speeds at height h.

What would be Tom´s gravitational potential energy at the roof of the empire state building if it has an altitude of 1250 feet (380 meters) and his weight is equal to 600N?.

A certain satellite has a kinetic energy of 8 billion joules at perigee (the point at which it is closest to Earth) and 5 billion joules at apogee (the point at which it is farthest from Earth). As the satellite travels from apogee to perigee, how much work does the gravitational force do on it? Does its potential energy increase or decrease during this time, and by how much?

A toy rocket with a mass of 399 grams is launched into the air using a spring. At position A in the diagram below, the height is 5.2 metres and the velocity is 9.8 m/s. What is the potential energy (in J) of the rocket at this location [round your final answer to one decimal place]? В C A hB hc hA