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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

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

Grade:11

1 Answers

Arun
25750 Points
6 years ago
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)2 
 
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)

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