An artificial satellite is revolving at a height of 500 Km above the surface of the earth in circular orbit,completing one revolution in 98 minutes. Calculate the mass of the earth. Given = 6.67 * 10-11  N.m2.kg-2 and Re = 6.4 * 106 m
[answer := 5.62 * 1024 kg ]
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Dear Student,

Please find below the solution to the asked query:


v=2πR+htForce equation is,GMmR+h2=mV2R+hGMR+h2=2πR+h2R+ht2GM=4π2R+h3t2M=4π2R+h3Gt2=4×3.142×6.9×10636.67×10-11×98×602M=4×3.142×6.9×10636.67×10-11×98×602=12.96×10212.31×10-3=5.62×1024 kg

 

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