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Chapter 7: Problem 6

The period of a satellite in a circular orbit around a planet is independent of, (A) the mass of the planet. (B) the radius of the planet. (C) the mass of the satellite. (D) all of three parameters \(a, b\) and \(c\).

Short Answer

Expert verified
The answer is options B and C, the period of a satellite in a circular orbit around a planet is independent of the radius of the planet and the mass of the satellite.

Step by step solution

01

Analyze Option A

The mass of the planet diffinitely affect the period of the satellite since it has a direct impact on the gravitational pull. Hence, option A can't be the correct choice.
02

Analyze Option B

The radius of the planet does not directly affect the period of the satellite. While it may have an influence on the minimal altitude at which the satellite can orbit, it does not affect the period of that orbit. So, option B could be a possible choice.
03

Analyze Option C

The mass of the satellite. Gravity acts on all masses equally, so the mass of the satellite does not affect its orbital period unless it's so large that it significantly affects the planet's gravity. In normal circumstances with a small satellite, the satellite's mass will not affect its orbital period. Hence, option C is also a suitable choice.
04

Analyze Option D

This involves all the options A, B and C. Due to the elements analyzed in the previous steps, we know that the mass of the planet (option A) does affect the period of the satellite. Therefore, this cannot be the correct answer.

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Most popular questions from this chapter

The mass of a spaceship is \(1000 \mathrm{~kg}\). It is to be launched from the earth's surface out into free space. The value of \(g\) and \(r\) (radius of earth) are \(10 \mathrm{~m} / \mathrm{s}^{2}\) and \(6400 \mathrm{~km}\) respectively. The required energy for this work will be (A) \(6.4 \times 10^{11} \mathrm{~J}\) (B) \(6.4 \times 10^{8} \mathrm{~J}\) (C) \(6.4 \times 10^{9} \mathrm{~J}\) (D) \(6.4 \times 10^{10} \mathrm{~J}\)

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