1.

A moon of Jupiter has a nearly circular orbit of radius R and an orbit period of T. which of the following expressions gives the mass of Jupiter?

Answer»

`(2piR)/(T)`
`(4pi^(2)R)/(T)`
`(2piR^(3))/((GT^(2)))`
`(4pi^(2)R^(3))/((GT^(2)))`.

SOLUTION :The gravitational pull by Jupiter PROVIDES the centripetal FORCE on its moon.
`G(Mm)/(R^(2))=(mv^(2))/(R)`
`G(M)/(R)=V^(2)`
`=((2piR)/(T))^(2)` ltBrgt `M=(4pi^(2)R^(3))/(GT^(2))`.


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