/*! 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} Q.14 A satellite orbiting the moon ve... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

A satellite orbiting the moon very near the surface has a period of 110min. What is free-fall acceleration on the surface of the moon?

Short Answer

Expert verified

gmoon=1.58m/s2

Step by step solution

01

Given information

Given in the question that, A satellite orbiting the moon very near the surface has a period of 110min.

02

Period of 

Given:

Tsat=110min

Tsat=110min×60s1min

Tsat=6600s

03

Step 3:A satellite is orbiting the moon 

When a satellite is orbiting the moon at a constant speed, the only force that is acting on it is the gravitational force from the moon.

∑F=mgmoon=mar

m̸gmoon=m̸ar

gmoon=vsat2r

gmoon=vsat21.74×106 (2)

vsat=2Ï€rT

vsat=2π×1.74×1066600
vsat=1.66×103m/s(2)

From (1) and(2)

gmoon=1.66×10321.74×106

gmoon=1.58m/s2

04

Final answer

The free-fall acceleration on the surface of the moon is

gmoon=1.58m/s2

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 91Ó°ÊÓ!

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

A 4.0*1010kg asteroid is heading directly toward the center of the earth at a steady 20km/s. To save the planet, astronauts strap a giant rocket to the asteroid perpendicular to its direction of travel. The rocket generates 5.0*109N of thrust. The rocket is fired when the asteroid is 4.0*106km away from earth. You can ignore the earth’s gravitational force on the asteroid and their rotation about the sun.

a. If the mission fails, how many hours is it until the asteroid impacts the earth?

b. The radius of the earth is 6400km. By what minimum angle must the asteroid be deflected to just miss the earth?

c. What is the actual angle of deflection if the rocket fires at full thrust for300s before running out of fuel?

A 1500kg car drives around a flat 200-m-diameter circular track at 25m/s. What are the magnitude and direction of the net force on the car? What causes this force?

A500gball moves in a vertical circle on a 102-cm-long string. If the speed at the top is 4.0m/s, then the speed at the bottom will be 7.5m/s.

a. What is the gravitational force acting on the ball?

b. What is the tension in the string when the ball is at the top? c. What is the tension in the string when the ball is at the bottom?

A toy train rolls around a horizontal 1.0-m-diameter track. The coefficient of rolling friction is 0.10. How long does it take the train to stop if it’s released with an angular speed of 30 rpm?

What is free-fall acceleration toward the sun at the distance of the earth’s orbit? Astronomical data are inside the back cover of the book .

See all solutions

Recommended explanations on Physics Textbooks

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.