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If two spheres of equal masses with cent...

If two spheres of equal masses with centres 0.2 m part attract each other with a force of `1xx10^(-6) kg wt`. What would be the value of their masses?
`g=9.8ms^(-2)" and "G=6.67xx10^(-11)Nm^(2)kg^(-2)`

Text Solution

Verified by Experts

Given r= 0.2 m `F=1 xx 10^(-6)kgwt=1 xx 10^(-6)xx 9.8 xx 10^6N`
`G=6.67 xx 10^(-11) Nm^2 kg^(-2), m_(1)=m_(2)=m`
Since `F= (Gm_(1)m_(2))/(r^2) and m_(1)= m_(2)=m" " F= (Gm^2)/(r^2)`
`therefore m= sqrt((Fr^2)/(G))= sqrt((9.8 xx 10^(-6) xx (0.2)^2)/(6.67 xx 10^(-11))) " " therefore m= sqrt(2.6146 xx 10^5) = 0.511 xx 10^3 kg.`
mass used is `0.511 xx 10^3 kg `.
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