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Assume that Earth is in circular orbit around the Sun with kinetic energy K and potential energy U, taken to be zero for infinite separation. Then, the relationship between K and U:

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hopemichael95

Answer:

K= -U/2

Explanation:

We know that K.E = 1/2mv²

And -GMm/r²= mv²/r

Thus K,E= 1/2(GMm/r)= 1/2(-P.E)

So

P.E = - GMm/r

So K= -U/2

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