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Vectors
Chanchal
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16 May 2012 10:44:12 IST
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Satellite
Engineering Entrance , JEE Main , JEE Advanced , Mathematics , Vectors

In a satellite if the time period is T , then K.E is prop to


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Rohan Vora
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16 May 2012 12:16:58 IST
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Rohan Vora
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16 May 2012 12:31:35 IST
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You need to remeber this : T is proportional to (R)^(3/2) 

Proof:

but

So 

Hence proved..

Now we know

So,

So KE is proprtional to 1/R

But R is proprtional to T^(2/3)

So KE is proprtional to T^(-2/3)
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Krishna Gopal Singh's Avatar

Krishna Gopal Singh
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Joined: 29 Dec 2006
Posts: 5524
16 May 2012 15:17:29 IST
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 KE =mv2/2 = GMm/(2r)

As r is proportional to T(2/3)  [ Kepler's lw]

So KE is proportionl to T(-2/3)
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