Io, the innermost of Jupiter's Galilean satellites, is the most volcanically-active object in the Solar System, thanks to tidal heating of its interior by gravitational interactions with Jupiter and the other 3 Galilean satellites. Estimate the Roche limit for tidal disruption of Io by Jupiter (you may ignore any constant in front of the formula, a rough estimate will suffice here). Use the data in the table to choose the correct statement about the location of the Roche limit relative to Jupiter and Io. Jupiter mass -1.9 x 1027 kg
Jupiter radius 70,000 km
lo mass 9x 1022 kg
lo radius 1800 km
lo orbital radius 420,000 km
A. The Roche limit is about twice lo's radius, which is much smaller than lo's orbital radius.
B. lo orbits very near the Roche limit, which is about 8.5 Jupiter radii.
C. The Roche limit is about 4.5 times farther out than lo's orbit.
D. The Roche limit approximately coincides with the top of Jupiter's atmosphere, which is about 8.5 times closer to Jupiter than lo's orbital radius.

To understand the behavior of the electric field at the surface of a conductor, and its relationship to surface charge on the conductor. a conductor is placed in an external electrostatic field. the external field is uniform before the conductor is placed within it. the conductor is completely isolated from any source of current or charge. part a: which of the following describes the electric field inside this conductor? it is in the same direction as the original external field.it is in the opposite direction from that of the original external field.it has a direction determined entirely by the charge on its surface.it is always zero. part b: the charge density inside the conductor is: 0non-zero; but uniformnon-zero; non-uniforminfinite part c: assume that at some point just outside the surface of the conductor, the electric field has magnitude e and is directed toward the surface of the conductor. what is the charge density η on the surface of the conductor at that point? express your answer in terms of e and ϵ0

The amount of potential energy possessed by an elevated object is equal to what?

Since the energy was not raising the temperature of the water during these segments, what was the energy used to do instead? your answer must include an explanation of what is happening to the molecules.