Space Probe A orbits in geostationary orbit directly above Jupiter\'s equator, 9

Question

Space Probe A orbits in geostationary orbit directly above Jupiter's equator, 90,000 km above the surface Identical Space Probe B sits on the surface of Jupiter. (a) which probe, if either, has a greater speed? Justify your answer (b) Which probe, if either, has the greatest acceleration toward the center of Jupiter? Justify your answer. (c) Consider the list of gravitational forces below: 1. The force of Jupiter on Space Probe A 2. The force of Jupiter on Space Probe B 3. The force of Space Probe A on Jupiter 4. The force of Space Probe B on Jupiter 5. The force of Space Probe A on Space Probe B 6, The force of Space Probe B on Space Probe A (i) Rank the magnitudes of the six gravitational forces listed above from greatest to least, If two or more quantities are the same, indicate so clearly in your ranking. Greatest Least (ii) Justify your ranking.

Explanation / Answer

a) Probe B.

because, Orbital speed, vo = sqrt(G*M/r)

orbital speed is inversly proprotional to radius of orbit.

so, probe B has greater speed.

b) probe B. Because it is close to Jupieter.

F = G*M*m/r^2

m*a_rad = G*M*m/r^2

a_rad = G*M/r^2

so, r is less a_rad is larger

c)

2 = 4 > 1 = 3 > 5 = 6

It can be explaind by Newton's third law .

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