Question

This question contains two parts: (a) and (b).

Astrology, the unlikely and rather imprecise exercise of divination, makes a big deal of the position of the planets on the day of one's birth. The only force of significance a planet can plausibly

exert on any of us is the gravitational force. Include units as appropriate.

(a) What is the magnitude of the gravitational force on a newborn baby of mass 3.90 kg due to, say, the large planet of Jupiter, of mass 1.9e +27 kg, if it is at its closest distance to Earth, some

6.29e + 11 m away?

This question is a continuation from the previous question.

Astrology, the unlikely and rather imprecise exercise of divination, makes a big deal of the position of the planets on the day of one's birth. The only force of significance a planet can plausibly

exert on any of us is the gravitational force. Include units as appropriate.

In part (a) we found the magnitude of the gravitational force on a newborn baby of mass 3.90 kg due to the large planet of Jupiter.

(b) Meanwhile, what is the range of the magnitude of the gravitational force (note that range = largest value - smallest value) on the same baby due only to the variation of g on Earth? (Use for

this the largest and smallest g values given in section 2.7 of Urone).

Range of F₂ =

Suppose a satellite is thought to be orbiting the Earth with a period of 0.70 h. Include units as appropriate.

(a) Based only on Kepler's laws and knowledge of the Moon's period (27.3 days) and orbital radius (384,000 km), calculate the orbital radius of this satellite.

(b) is this orbital radius reasonable? If not, why not?

O A. No, this result is not reasonable. You cannot use the orbital period and radius of the Moon to determine the orbital radius of a satellite.

OB. No, this result is not reasonable. A satellite around a planet must have an orbital radius equivalent to the orbital radius of the planet orbiting its star.

O C. No, this result is not reasonable. The Earth's mass is insufficient to keep a satellite orbiting at this speed and it would be ejected from orbit.

O D. Yes, this result is reasonable.

E. No, this result is not reasonable. The radius of the orbit is measured from the planet's center of mass and this orbital radius is less than the radius of the Earth.

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