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A satellite of mass 'M' is projected rad...

A satellite of mass 'M' is projected radially from surface of earth with speed 'u'. When is reaches a height equal to radius of earth, it ejects a rocket of mass `( M)/(10 )`and it itself starts orbiting the earth in circular path of radius 2R, find the kinetic energy of rocket.

A

` ( m ) /(20 ) ( u ^(2) + (113 ) /(200) ( GM ) /(R ) ) `

B

` ( 3m ) /(8) ( u + sqrt (( 5GM) /( 6 R))) ^(2) `

C

` (m ) /( 20 ) ( u - sqrt ( ( 2GM)/(3R)) ) ^(2) `

D

` 5m ( u ^(2) - ( 119) /(200) ( GM) /(R )) `

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The correct Answer is:
D
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