/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q45P The Martian satellite Phobos tra... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 13: Q45P (page 381)

The Martian satellite Phobos travels in an approximately circular orbit of radius 9.4脳106mwith a period of7h39min .Calculate the mass of Mars from this information.

Short Answer

Expert verified

The mass of the Mars is 6.5脳1023kg.

Step by step solution

01

Step 1: Given

Radius,R=9.4脳106m

Period,7hours39minutes=2.754脳104s

02

Determining the concept

Using the formula for Kepler鈥檚 third law, we can find themass of Mars from the given radius and period. According to Kepler鈥檚 third law, the squares of the orbital periods of the planets are directly proportional to the cubes of the semi major axes of their orbits.

Formula is as follow:

T2=4蟺2GMR3

where, T is time, G is gravitational constant, M is mass and R is radius.

03

Determining themass of Mars

Now,

T2=4蟺2GMR3M=4蟺2R3GT24蟺29.4脳106m3G2.754脳104s2

Hence, the mass of the Mars is 6.5脳1023kg.

Therefore, using the formula for Kepler鈥檚 third law, the mass of Mars from the given radius and period can be found.

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

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

Rank the four systems of equal mass particles shown in check point 2 according to the absolute value of the gravitational potential energy of the system, greatest first.

Question: A projectile is fired vertically from Earth鈥檚 surface with an initial speed of 10km/s. Neglecting air drag, how far above the surface of Earth will it go?

what altitude above Earth鈥檚 surface would the gravitational acceleration be4.9m/s2?

In 1993 the spacecraft Galileosent an image (Fig. 13-48) of asteroid 243 Ida and a tiny orbiting moon (now known as Dactyl), the first confirmed example of an asteroid鈥搈oon system. In the image, the moon, which is 1.5kmwide, is100km from the center of the asteroid, which is role="math" localid="1661157158474" 55kmlong. Assume the moon鈥檚 orbit is circular with a period of 27h.

(a) What is the mass of the asteroid?

(b) The volume of the asteroid, measured from the Galileoimages, is14100鈥夆赌塳尘3 . What is the density (mass per unit volume) of the asteroid? was sent spinning out of control. Just before the collision and in

(a) At what height above Earth鈥檚 surface is the energy required to lift a satellite to that height equal to the kinetic energy required for the satellite to be in orbit at that height? (b) For relater heights, which is greater, the energy for lifting or the kinetic energy for orbiting?
See all solutions

Recommended explanations on Physics Textbooks

Atoms and Radioactivity

Read Explanation

Classical Mechanics

Read Explanation

Solid State Physics

Read Explanation

Waves Physics

Read Explanation

Circular Motion and Gravitation

Read Explanation

Geometrical and Physical Optics

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.