BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Solutions

Chapter
Section
BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

(a) One of the moons of Jupiter, named Io, has an orbital radius of 4.22 × 108 m and a period of 1.77 days. Assuming the orbit is circular, calculate the mass of Jupiter, (b) The largest moon of Jupiter, named Ganymede, has an orbital radius of 1.07 × 109 m and a period of 7.16 days. Calculate the mass of Jupiter from this data, (c) Are your results to parts (a) and (b) consistent? Explain.

(a)

To determine
The mass of the Jupiter.

Explanation

Given Info:

Orbital radius of the Io moon is 4.22×108m .

Period of the Io moon is 1.77days .

Explanation:

According to Kepler’s third law,

T2=(4π2GM)r3

  • G is the gravitational constant
  • M is the mass Jupiter

On re-arranging,

Formula to calculate the mass of the Jupiter is,

M=(4π2GT2)r3

Substitute 6.67×1011Nm2kg2 for G, 1.77days for T and 4.22×108m for r to find the mass of the Jupiter,

M=4π2(4

(b)

To determine
The mass of the Jupiter.

(c)

To determine
The results to (a) and (b) is consistent or not.

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Additional Science Solutions

Find more solutions based on key concepts

Show solutions add

An eating pattern with sufficient essential fatty acids includes a. nuts and vegetable oils. b. 1/4 cup of raw ...

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

25-51 Does mRNA also have introns and exons? Explain.

Introduction to General, Organic and Biochemistry