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Grade 12Mechanics

A satellite is moving in a circular orbit of height R (R being the radius of earth).It’s velocity should be increased to root k times its initial orbital speed value,so as to make it escape from earth gravitational pull and reach infinity.Find k.
PlZZZZZZZ answer soon.

Profile image of Arna
10 Years agoGrade 12
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1 Answer

Profile image of Arnav Prasad
10 Years ago
I will suggest a Generalised form for any Height “r”.
Orbital Velocity at H = Any Height “r” is (GM/(r+R))1/2
Escape Velocity for same height “r” is (2GM/(r+R))1/2. (You can prove it by energy conservation.)
 
V(escape) = 21/2V(orbital) for ANY Height “r”.
 
Thus, K = 2.
 
A question of FIITJEE Reshuffling Test -1 (Advanced Level).