SATHEE: Gravitation Question 172

Gravitation Question 172

Question:The escape velocity from earth is $[v_{e s} .]$ A body is projected with velocity $[2 v_{e s}]$ with what constant velocity will it move in the inter planetary space[DCE 2002]

Options:

A) $[v_{e s}]$

B) $[3 v_{e s}]$

C) $[\sqrt{3} v_{e s}]$

D) $[\sqrt{5} v_{e s}]$

Show Answer

Answer:

Correct Answer: C

Solution:

Velocity of body in inter planetary space

$[v^{'} = \sqrt{v^{2} - v_{e s}^{2}}]$

where $[v_{e s} =]$ escape velocity and

v = velocity of projection $[v^{'} = \sqrt{{(2 v_{e s})}^{2} - v_{e s}^{2}} = \sqrt{3 v_{e s}^{2}}]$

Þ $[v^{'} = \sqrt{3} v_{e s}]$

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Gravitation Question 172

Question:The escape velocity from earth is [ves.] A body is projected with velocity [2ves] with what constant velocity will it move in the inter planetary space[DCE 2002]

Options:

Answer:

Solution:

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Question:The escape velocity from earth is $[v_{e s} .]$ A body is projected with velocity $[2 v_{e s}]$ with what constant velocity will it move in the inter planetary space[DCE 2002]