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The mass of the earth is `6xx10^(24)kg` and that of the moon is `7.4xx10^(22)kg`. The potential energy of the system is `-7.79xx10^(28)J`. The mean distance between the earth and moon is `(G=6.67xx10^(-11)Nm^(2)kg^(-2))`A. `3.8xx10^(8) m`B. `3.37xx10^(6)` mC. `7.60xx10^(4)` mD. `1.9xx10^(2)` m |
Answer» Correct Answer - A (a) Here, Potential energy of system, `U= -7.79xx10^(28)J` Mass of the earth, `M_(E)=6xx10^(24)kg` Mass of the moon, `M_(M)=7.4xx10^(22) kg` The potential energy of the earth-moon system is `U=-(GM_(E)M_(M))/( r)` where r is the mean distance between earth and moon. `:. r= - (GM_(E)M_(M))/(U)=-(6.67x10^(-11)xx6xx10^(24)xx7.4 xx 10^(22))/(-7.79xx10^(28))` `=3.8xx10^(8) m` |
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