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.

A1200 kg car traveling north at 10 m/s is rear-ended by a 2000 kg truck traveling at 30 m/s. what is the total momentum before and after the collision?

How do the measurements of charge at the different locations on the sphere compare to each other? the charge measurements are different at all locations on the sphere. the charge measurements are virtually not the same at all locations on the sphere except for the charge at the very top and at the very bottom that are equal. the charge measurements are virtually the same at all locations on the sphere except for the charge at the very top. at the top, the conductive sphere has a small disk that is made of different material. the charge measurements are the same at all locations on the sphere. what happens to the charge on the conductive sphere when it is connected to a source of charge such as the electrostatic voltage source? nothing will happen because no charge goes around the surface of the sphere. the charge on the conductive sphere spreads out over the surface of the sphere; being greater in some specific locations on the sphere. the charge on the conductive sphere spreads out uniformly over the surface of the sphere. the charge on the conductive sphere spreads out non-uniformly over the surface of the sphere.

Aparticle initially moving east with a speed of 20.0 m/s, experiences an acceleration of 3.95 m/s, north for a time of 8.00 s. what was the speed of the particle after this acceleration, in units of m/s? give the answer as a positive number.