Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 12-science Answered

Sir, how should we apply the energy conservation in case of taking a satellite to a height or moving a satellite from one orbit to another ?
Asked by minipkda | 22 May, 2018, 06:31: PM
answered-by-expert Expert Answer
When a satellite is orbiting in an orbit which is at a distance r from centre of earth(or any planet), we have potenial energy U that is given by
 
begin mathsize 12px style U space equals space minus G fraction numerator M space m over denominator r end fraction...................... left parenthesis 1 right parenthesis end style
Kinetic energy K begin mathsize 12px style equals space 1 half m v squared space equals space 1 half m space omega squared r squared space................. left parenthesis 2 right parenthesis end style
where v is the tangential speed and ω is angular speed of satellite in orbit.
 
we know that Gravitational force balance the centripetal force.
 
hence begin mathsize 12px style G fraction numerator M space m over denominator r squared end fraction space equals space fraction numerator m space v squared over denominator r end fraction space equals space m space omega squared space r end style...........................(3)
from eqn.(3), after simplification, we get begin mathsize 12px style omega squared space r squared space equals space G fraction numerator M m over denominator r end fraction end style ......................(4)
By substituting for ω2r2 using eqn.(4) in eqn.(2), we get kinetic energy K = begin mathsize 12px style G fraction numerator M space m over denominator 2 space r end fraction end style.................... (5)
Total energy U+K = begin mathsize 12px style equals space minus G fraction numerator M space m over denominator 2 space r end fraction end style..................................(6)
Equation (6) gives the total energy as a function orbit radius r.
 
To take a satellite from one orbit from other orbit we need to supply additional energy depends upon the radii of initial and final orbit.
Answered by Thiyagarajan K | 19 Jun, 2018, 05:30: PM

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 12-science - Physics
please resolve with good explanation
question image
Asked by kulhariabhijeet | 21 Apr, 2024, 02:39: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Physics
what are ghost particles please answer how is that not able to interact with other subatomic particles ..?is that faster than photons?
Asked by mohapatraswetalina88 | 21 Apr, 2024, 12:18: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Physics
if breakdown voltage of each capacitor is 40v ,then maximum applied voltage Vmax will be
Asked by aishaisha091098 | 19 Apr, 2024, 04:54: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Physics
explain
question image
Asked by ranadeb8090 | 19 Apr, 2024, 03:32: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Physics
solve option e
question image
Asked by dasrituparna1999 | 13 Apr, 2024, 06:56: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Physics
The number of moles in an elemental sample is just the ratio of the mass m to atomic mass 4. n= A The number of protons N, in an elemental sample is Z (atomic number) times the number of moles of Avogadro's number NA N=ZnN P A Copper has an atomic mass of 63.5 g/mole and 29 protons per atom. If such an atom were neutral, then it would have as many protons as electrons. If you remove electrons from a neutral state, then you get a net positive charge. Given a 54 gram ball of copper with a net charge of 2.2 µC, what fraction of the copper's electrons have been removed?
Asked by dasrituparna1999 | 12 Apr, 2024, 09:26: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Physics
which answer is correct and most appropriate with explanation
question image
Asked by mishrigupta19319 | 08 Apr, 2024, 06:28: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Physics
8212
question image
Asked by madhav9119887644 | 07 Apr, 2024, 08:10: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Physics
ans the questions wit reason
question image
Asked by mishrigupta19319 | 07 Apr, 2024, 11:23: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Physics
I don't know which concept and formula is used
question image
Asked by adityagalar2007 | 06 Apr, 2024, 01:06: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×