In the figure, a greased pig has a choice of three frictionless slides along which to slide to the ground. Rank the slides according to how much work the gravitational force does on the pig (potential energy) during the descent and time were taken to land on the ground, respectively. (a) a=b=c and a=b=c a>b>c and a>b>c a=b=c and a

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 small sphere of mass m is launched horizontally over a body of water from a height h above the water and with a launch speed v0. Determine expressions for the following in terms of m, v0, h, and g. Air resistance is negligibly small. W is the amount of work done by the force of gravity on the projectile during its flight. ΔKE is the change in kinetic energy ΔKE of the projectile from the time it was fired until it hits the water. KEf is the final kinetic energy KEf of the projectile as it hits the water.

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.