1.

The mean orbital radius of the earth around the sun is 1.5xx10^(8) km. Calculate mass of the sun if G=6.67xx10^(-11)Nm^2"/"kg^(-2)?

Answer»

SOLUTION :`R= 1.5xx10^(8) km = 1.5xx10^(11)m`
T= 365 DAYS `=365xx24xx3600s`
Centripetal force = gravitational force
`(Mv^2)/(R )= (GMm)/(R^2)= (m)/(R )((2piR)/(T))^2= (GMm)/(R^2)`
`M_(s)= (4pi^2R^3)/(GT^2)`
`=(4xx9.87xx(1.5xx10^(11))^3)/(6.64xx10^(-11)xx(365xx24xx3600)^2)`
`M_(s)=2.01=10^(30)kg`.


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