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

= 2r3/(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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