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Grade: 11
        The escape velocity from earth is ve.A body is projected with a velocity of 2ve. With what constant vellocity will it move in the inter planetary space.OPTIONS;-1  :-  Ve2  :-  3^1/2Ve3  :-  2^1/2Ve4.;-   51/2Ve
2 years ago

Answers : (1)

Arun
23346 Points
							
Dear Sam
 
 
Apply conservation of energy. Initially when body is on earth, Total energy = kinetic plus potential. And finally when it starts moving in interplanetary space, assuming potential energy at that point to be zero. it becomes kinetic energy only.
 
So initially,
 
 – GMm/R + 1/2m(2ve)2 
 
And finally:
 
0 + 1/2m(v1)
 
Equate the two and use ve = (2GM/R)1/2
 
You’ll get the answer 
answer is 31/2 Ve
 
Regards
Arun (askIITians forum expert)
2 years ago
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