Numerical
Asked by KANIKAKHARBANDA | 3rd Jan, 2010, 06:56: PM
Expert Answer:
The centripetal force is provided by the gravitational attraction.
mV2/r = GMm/r2
And time period is given by,
T = 2πr/V
T2 = 4π2r2/V2
= 4π2r3/(GM)
Hence,
r3 = GMT2/(4π2)
= gR2T2/(4π2) ............GM/R2 = g = 9.8 m/s2
= 9.8x(6370x103)2(90x60)2/(4π2)
Hence,
r = 66495 x 102 m
R+h = 6649.5 km
h = 6649.5 - 6370 = 279 km
Regards,
Team,
TopperLearning.
Answered by | 3rd Jan, 2010, 10:21: PM
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