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Imagine that the gravitational force bet...

Imagine that the gravitational force between earth and moon is provided by an invisible string that exist between the moon and earth what is the tension that exists in this invisible string due to earth centripetal force
(Mass of the moon =`7.34 xx10^(22)kg` distance between moon and earth =`3.84 xx10^(8)`m)

Text Solution

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Give Mass `M= 7.34 xx 10^(22) kg`
Radius R= 3.84 `xx 10^(8)m`
`T= (MV^(2))/(R )`
since `V = R epsilon rArr V^(2) = R^(2) epsilon^(2)`
Here `epsilon = ((2pi)/(27.25 xx 86400))`
Tension `T= (MR^(2) epsilon^(2))/(R )`
`=7.34 xx 10^(22) xx 3.84 xx 10^(8)`
`xx ((2pi)/( 27. 25 xx 86400))^(2)`
`T= 2 xx 10^(20)N`
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