The mass of Jupiter is 300 times the mass of the earth.

Chapter 13, Problem 9CQ

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QUESTION:

Problem 9CQ

The mass of Jupiter is 300 times the mass of the earth. Jupiter orbits the sun with T Jupiter = 11.9 yr in an orbit with r jupiter =5 − 2r earth Suppose the earth could be moved to the distance of Jupiter and placed in a circular orbit around the sun. Which of the following describes the earth’s new period? Explain.

a. 1 yr

b. Between 1 yr and 11.9 yr

c. 11.9 yr

d. More than 11.9 yr

e. It would depend on the earth’s speed.

f. It’s impossible for a planet of earth’s mass to orbit at the distance of Jupiter.

Questions & Answers

QUESTION:

Problem 9CQ

The mass of Jupiter is 300 times the mass of the earth. Jupiter orbits the sun with T Jupiter = 11.9 yr in an orbit with r jupiter =5 − 2r earth Suppose the earth could be moved to the distance of Jupiter and placed in a circular orbit around the sun. Which of the following describes the earth’s new period? Explain.

a. 1 yr

b. Between 1 yr and 11.9 yr

c. 11.9 yr

d. More than 11.9 yr

e. It would depend on the earth’s speed.

f. It’s impossible for a planet of earth’s mass to orbit at the distance of Jupiter.

ANSWER:

Step 1 of 2

Here we need to calculate the orbital time period, if the Earth is moved to the distance of Jupiter and placed on the circular orbit of Jupiter around Sun.

The time period of the Jupiter is given to be, .

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