Mars with a period of How (in km) above the surface the planet is (The mass of Mars is 6.42 X rbiter's orbit can give us the speed at which the orbiter orbits the planet. We imagine the orbiter tracing a circle around the planet at a certain height, the sp this with the circular velocity equation to determine the height above the planet's surface. GM GM s and solving for r gives the following equation. What is the exponent for r? annot come back) kg, and the radius of Mars is

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter7: Rotational Motion And Gravitation
Section: Chapter Questions
Problem 47AP: (a) One of the moons of Jupiter, named Io, has an orbital radius of 4.22 108 m and a period of 1.77...
icon
Related questions
icon
Concept explainers
Question
The MAVEN orbiter orbits Mars with a period of 4.5 hours. How far (in km) above the surface of the planet is it? (The mass of Mars is 6.42 × 1023 kg, and the radius of Mars is 3.40 × 10³ km.)
Part 1 of 3
The period of the orbiter's orbit can give us the speed at which the orbiter orbits the planet. We imagine the orbiter tracing a circle around the planet I a certain height, the speed is
Part 2 of 3
V =
2πr
P
Next, we combine this with the circular velocity equation to determine the height above the planet's surface.
2πr
P
202
=
GM
r
GM
r
Squaring both sides and solving for r gives the following equation. What is the exponent for r?
GM
4π²
Submit Skip (you cannot come back)
Transcribed Image Text:The MAVEN orbiter orbits Mars with a period of 4.5 hours. How far (in km) above the surface of the planet is it? (The mass of Mars is 6.42 × 1023 kg, and the radius of Mars is 3.40 × 10³ km.) Part 1 of 3 The period of the orbiter's orbit can give us the speed at which the orbiter orbits the planet. We imagine the orbiter tracing a circle around the planet I a certain height, the speed is Part 2 of 3 V = 2πr P Next, we combine this with the circular velocity equation to determine the height above the planet's surface. 2πr P 202 = GM r GM r Squaring both sides and solving for r gives the following equation. What is the exponent for r? GM 4π² Submit Skip (you cannot come back)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
Congratulations! You just derived a version of Kepler's Third Law for Mars!
Using the mass of Mars in kilograms and converting the 4.5 hours to seconds, calculate the distance from the center of the planet.
GM kg
4π²
]s)²
3 =
And then determine the distance (in km) from the surface.
r = rm + rs
rs
km
=
km
Transcribed Image Text:Congratulations! You just derived a version of Kepler's Third Law for Mars! Using the mass of Mars in kilograms and converting the 4.5 hours to seconds, calculate the distance from the center of the planet. GM kg 4π² ]s)² 3 = And then determine the distance (in km) from the surface. r = rm + rs rs km = km
Solution
Bartleby Expert
SEE SOLUTION
Knowledge Booster
Gravitational Force
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
Glencoe Physics: Principles and Problems, Student…
Glencoe Physics: Principles and Problems, Student…
Physics
ISBN:
9780078807213
Author:
Paul W. Zitzewitz
Publisher:
Glencoe/McGraw-Hill
An Introduction to Physical Science
An Introduction to Physical Science
Physics
ISBN:
9781305079137
Author:
James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher:
Cengage Learning