A planet with a radius of 6.00 x 10^7 m has a gravitational field of magnitude 6.11 m/s^2 at the surface. What is the escape speed from the planet?

Taking the surface of Earth as reference level, how high above the ground does a 65-kg flying witch on a broomstick possess 7.1×103 J of gravitational potential energy?

The three spheres in the figure, with masses mA = 75 g, mB = 9 g, and mc = 23 g, have their centers on a common line, with L = 23 cm and d = 4 cm. You move sphere B along the line until its center-to-center separation from C is d = 4 cm. How much work is done on sphere B(a) by you and (b) by the net gravitational force on B due to spheres A and C? B L ·d C

The Elf on the Shelf has mass 0.500 kg and is sitting on a shelf some height y above the ground. If the gravitational potential energy is 49.0 J, what is y?

A 2.50 kg mass is drop from rest. If it falls a distance of 25.0 m, what will its change in kinetic energy be? Assume only the gravitational force acts.

Chapter 13, Problem 037 GO The three spheres in the figure, with masses ma = 73 g, mg = 8 g, and mc = 20 g, have their centers on a common line, with L = 20 cm and d = 4 cm. You move sphere B along the line until its center-to-center separation from C is d = 4 cm. How much work is done on sphere B(a) by you and (b) by the net gravitational force on B due to spheres A and C? B (a) Number Units (b) Number Units Click if you would like to Show Work for this question: Open Show Work Question Attempts: 0 of 10 used SAVE FOR LATER SUBMIT ANSWER

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

The figure below shows the potential energy function U(r) of a projectile plotted outward from the surface of a planet of radius Rs.  What is the minimum velocity required for a 1.8 kg object to "escape" the gravitational field of the planet.

How would you have to adjust the starting height to have the same amount of energy among the Earth, Moon, and Jupiter?

(a) What is the gravitational potential energy of a two-particle system with masses 6.8 kg and 3.0 kg, if they are separated by 1.7 m? If you triple the separation between the particles, how much work is done (b) by the gravitational force between the particles and (c) by you?