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प्रश्न
If the distance between two masses is increased by a factor of 5, by what factor would the mass of one of them have to be altered to maintain the same gravitational force ? Would this be an increase or decrease in the mass ?
थोडक्यात उत्तर
बेरीज
उत्तर
F (gravitational force) = ?
G (gravitational constant) = G
M (mass of sun) = M
m (mass of the earth)= m
d (average distance between sun and earth) = increased by 5 times than Rest all variables remain constant
`F = (GM m)/d^2`
`F = (GM m)/(5d)^2`
`F = (GM m)/(25 d^2)`
(NOTE – To maintain the same gravitational force, the mass should be increased by 25 times)
`F = (GM 25m)/(25 d^2)`
`F = (GM m)/d^2`
There would be an increase in mass .
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