Please wait...
Contact Us
Contact
Need assistance? Contact us on below numbers

For Study plan details

93219 24448 / 89292 63204

10:00 AM to 7:00 PM IST all days.

For Franchisee Enquiry

81783 72169
OR

Chat with us on WhatsApp

or

Thanks, You will receive a call shortly.
Customer Support

You are very important to us

For any content/service related issues please contact on this number

93219 24448 / 99871 78554

Mon to Sat - 10 AM to 7 PM

Home / Doubts and Solutions/NEET/Physics

A satellite is in a circular orbit very close to the surface of the planet. At some point it is given an impulse in its direction of motion, causing its velocity to increase 'n' times. It now goes into an elliptical orbit, with the planet at the centre of the ellipse. The maximum possible value of 'n' for this to occur is 

(a) 2

(b) root of 2

(c) root of 2 + 1

(d) 1/ root of 2 -1

Asked by nasir.mirza 13th June 2018, 7:50 PM
Answered by Expert
Answer:
Let the satellite of mass m orbiting around a planet of mass M in a circular orbit of radius r.
 
Centripetal force is provided by Gravitational attractive force. 
 
hence begin mathsize 12px style G space fraction numerator M space m over denominator r squared end fraction space equals space m omega squared r space.................... left parenthesis 1 right parenthesis end style
where ω is angular speed that is related to linear speed v as v = ωr.

Potential Eneregy of the satellite begin mathsize 12px style U space equals space minus G fraction numerator M space m over denominator r end fraction.......................... left parenthesis 2 right parenthesis end style
Kinetic energy of Satellite, begin mathsize 12px style K space equals space 1 half m v squared space equals space 1 half m omega squared r squared space space equals space 1 half G fraction numerator M space m over denominator r end fraction space........................ left parenthesis 3 right parenthesis end style
In eqn.(3), mω2r is substituted as given in eqn(1).
 
if we compare eqn(2) and (3),  Kinetie energy is half of potential energy.
Also total energy is negative in order to bind the satellite to the planet in gravitational field. 
 
If the total energy is -ve, satellite will orbit in elliptical orbit. By giving more kinetic energy the orbit is changed.
 
If the kinetic energy is doubled, then total energy will be zero and the orbit will not be elliptic but it becomes parabola.
 
hence twice the kinetic energy is the maximum limit to keep the satellite in elliptical orbit around the planet.
 
Kinetic energy is proportional to square of speed. 
 
Hence to double the kinetic energy, speed should be increased to √2 times the initial value
Answered by Expert 15th June 2018, 10:36 AM
Rate this answer
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10

You have rated this answer /10

Report an issue
Tags: satellites gravitation
Previous Question
Next Question
Your answer has been posted successfully!

Free related questions

my doubt is the value of G is 60673multiply10-11power but why we use some no in some different numericals like use of 6.6, some times 6.7 why please ans this ques now 🙏
16th February 2022, 9:24 AM
difference between G , g
21st March 2022, 8:36 AM
gravitation  
27th March 2022, 5:33 PM
Sir,The gravitational due to a uniform disc at a point in its axis is 2GMr/R²((1/r)-(1/√(r²+R²))).Andthe potential at a point in the axis is -2GM/R²(√(R²+r²)-r) where R-radius and r-distance in the axis. Also,We know that on differentiating gravitational potential we get the gravitational field at that point.But that is not the case for disc.On integrating the potential we are not getting the value of the field.Why is it so? Please help
16th May 2022, 9:34 PM
what is Newton's contribution on gravitation?
13th July 2022, 12:37 AM
RELATED STUDY RESOURCES :
NEET QUESTION ANSWERS

Browse free questions and answers by Chapters

Trending Tags

trigonometric equations Mole concept linear equations trigonometric ratios quadratic equation functions electric force circle matrix operations integration

Latest Questions

CBSE X Biology
What is enzyme  
Asked by Sureshgowdayd548 28th October 2020, 10:50 PM
JEE Main Mathematics
The following pseudocode is executed using the “Paragraph words” dataset. At the end of the execution, CountB captures the number of verbs with letter count less than the average letter count of verbs. But the pseudocode may have mistakes in one or more lines. Identify all such lines (if any). It is a Multiple Select Question (MSQ).  Error in Line 4  Error in Line 8  Error in Line 11  Error at Line 12  Error in Line 17  Error at Line 18  Error in Line 21 The following pseudocode is executed using the “Words” table. What will be the value of A at the end of the execution?
Asked by amaladelsingh 28th October 2020, 10:24 PM
CBSE X Biology
I want a brief clarity on Taxonomy
Asked by reenacharan2008 28th October 2020, 9:11 PM

Chat with us on WhatsApp