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Two heavy spheres each of mass 100 kg an...

Two heavy spheres each of mass 100 kg and radius 0.10m are placed 1. 0m apart on a horizontal table. What is the gravitational field and potent at the mid point of the line joining the centre of the spheres ? `(M_(E)=6.0xx10^(24)kg,R_(E)=6.4xx10^(6)m)`

Text Solution

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`M_(E)=6.0xx10^(24)kg,R_(E)=6.4xx10^(6)m, m_(1)=m_(2)=100kg`
(i) Gravitational field `E_(1)-E_(2)=0`
(ii) Gravitational potential `=V1+V2=2V`
`=(2GM)/(d//2)=4(GM)/(d)=(4xx6.67xx10^(-11)xx100)/(1)=26.68xx10^(-9)`
`=2.668xx10^(-8)JKg^(-1)`
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