1.

What kind of relation exists between kinetic energy (E_k)and orbital radius (r) of the satellite revolving around the earth?

Answer»

`E_k prop R `
`E_k prop r^2`
`E_k prop 1/r`
`E_k prop 1/r^2`

Solution :`implies` CENTRIPETAL force for revoloving statellitte = GRAVITATIONAL force
`(mv^2)/(r) = (GM_em)/r^2`
`:. 1/2 mv^2 = (GM_em)/(2R)`
`:. E_k = ((GM_em)/2).1/r`
`:. E_k prop 1/r [ :. (GM_em)/2 ` is cosntant ]


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