8.22 As you have learnt in the text, a geostationary satellite orbits the earth at a height of nearly 36,000 km from the surface of the earth. What is the potential due to earth’s gravity at the site of this satellite? (Take the potential energy at infinity to be zero). Mass of the earth = 6.0×1024 kg, radius = 6400 km.

0 1 View | Posted 4 months ago
Asked by Shiksha User

  • 1 Answer

  • V

    Answered by

    Vishal Baghel | Contributor-Level 10

    4 months ago

    Mass of the Earth, M = 6.0 *1024 kg

    Radius of the Earth, R = 6400 km = 6.4 *106 m

    Height of geostationary satellite from the surface of the Earth, h = 36000 km = 3.6 *107 m

    Gravitational potential energy due to Earth's gravity at height h:

    -GM (R+h)

    -6.67*10-11*6.0*10243.6*107+6.4*106 = -6.67*6.0*10134.24*107 = - 9.44 *106 J/kg

Similar Questions for you

A
alok kumar singh

Kindly go through the solution

 

A
alok kumar singh

  G M m ( R + x ) 2 = G M m ( R x ) R 3

->R3 = (R + x)2 (R – x)

->R3 = (R2– x2) (R + x)

->x2 + Rx – R2 = 0


x = R ± R + 4 R 2 2

x = ( 5 R 1 ) 2 R

           

A
alok kumar singh

Stress = F A = T A = W A

V
Vishal Baghel

( v e ) A = ( v e ) B M 1 R 1 = M 2 R 2

R is not correct.

V
Vishal Baghel

F 1 = G M m 9 R 2

F 2 = G M m 9 R 2 G M 8 m ( 5 R 2 ) 2 = G M m R 2 ( 1 9 1 5 0 )

F 1 F 2 = 1 1 9 5 0 = 5 0 4 1

Get authentic answers from experts, students and alumni that you won't find anywhere else

Sign Up on Shiksha

On Shiksha, get access to

  • 65k Colleges
  • 1.2k Exams
  • 688k Reviews
  • 1800k Answers

Learn more about...

Share Your College Life Experience

Didn't find the answer you were looking for?

Search from Shiksha's 1 lakh+ Topics

or

Ask Current Students, Alumni & our Experts

×

This website uses Cookies and related technologies for the site to function correctly and securely, improve & personalise your browsing experience, analyse traffic, and support our marketing efforts and serve the Core Purpose. By continuing to browse the site, you agree to Privacy Policy and Cookie Policy.

Need guidance on career and education? Ask our experts

Characters 0/140

The Answer must contain atleast 20 characters.

Add more details

Characters 0/300

The Answer must contain atleast 20 characters.

Keep it short & simple. Type complete word. Avoid abusive language. Next

Your Question

Edit

Add relevant tags to get quick responses. Cancel Post