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Two satellites of same mass are launched...

Two satellites of same mass are launched in the same orbit round the earth so as to rotate opposite to each other. They soon collide inelastically and stick together as wreckage. Obtain the total energy of the system before and just after the collision. Describe the subsequent motion of the wreckage.

A

`-(2GMm)/(2r)`

B

`-(GMm)/( r) `

C

`-(GMm)/( 2r)`

D

`(GMm)/(4r)`

Text Solution

Verified by Experts

The correct Answer is:
A
According to the conservation of linear momentum
mv-mv =(2m)V
SO KE =0
Total energy =KE +PE
`=-(GM(2m))/( r) `
`=-(2GMm)/(r )`
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