Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 13: Q. 9 (page 353)

The mass of Jupiter is 300 times the mass of the earth. Jupiter orbits the sun with TJupiter = 11.9 yr in an orbit with rJupiter = 5.2rearth. 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.

Short Answer

Expert verified

Option (C) 11.9 yr is correct

Step by step solution

01

Given Information

Period of Jupiter, TJupiter=11.9 year
Radius of the Jupiter, rjupiter=5.2 rearth

02

Explanation

Use Keplar's law T =kR3/2

Where, r= radius of orbit, k = constant, T= period

From the Keplar law, we can conclude that the Time period only depends on the radius of orbit.

If earth moved to the distance of Jupiter and placed in a circular orbit then the period will be the same that of Jupiter, which is 11.9 years.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

In 2014, the European Space Agency placed a satellite in orbit around comet 67P/Churyumov-Gerasimenko and then landed a probe on the surface. The actual orbit was elliptical, but we’ll approximate it as a 50-km-diameter circular orbit with a period of 11 days.
a. What was the satellite’s orbital speed around the comet? (Both the comet and the satellite are orbiting the sun at a much higher speed.)

b. What is the mass of the comet?
c. The lander was pushed from the satellite, toward the comet, at a speed of 70 cm/s, and it then fell—taking about 7 hours—to the surface. What was its landing speed? The comet’s shape is
irregular, but on average it has a diameter of 3.6 km.

FIGURE CP13.72 shows a particle of mass m at distance x from the center of a very thin cylinder of mass M and length L. The particle is outside the cylinder, so x > L/2.
a. Calculate the gravitational potential energy of these two masses.
b. Use what you know about the relationship between force and potential energy to find the magnitude of the gravitational force on m when it is at position x.

Why is the gravitational potential energy of two masses negative? Note that saying “because that’s what the equation gives” is not an explanation.

Satellites in near-earth orbit experience a very slight drag due to the extremely thin upper atmosphere. These satellites slowly but surely spiral inward, where they finally burn up as they reach the thicker lower levels of the atmosphere. The radius decreases so slowly that you can consider the satellite to have a circular orbit at all times. As a satellite spirals inward, does it speed up, slow down, or maintain the same speed? Explain.

A 55,000 kg space capsule is in a 28,000-km-diameter circular orbit around the moon. A brief but intense firing of its engine in the forward direction suddenly decreases its speed by 50%. This
causes the space capsule to go into an elliptical orbit. What are the space capsule’s (a) maximum and (b) minimum distances from the center of the moon in its new orbit?
Hint: You will need to use two conservation laws.
See all solutions

Recommended explanations on Physics Textbooks

Kinematics Physics

Read Explanation

Electricity and Magnetism

Read Explanation

Circular Motion and Gravitation

Read Explanation

Modern Physics

Read Explanation

Electric Charge Field and Potential

Read Explanation

Dynamics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free