Solution:
Mass = m = 550 kg
Radius = 2.20 m
Altitude = 375,000
Radius of the Earth = r= 6.38 x 106 m
Total altitude from earth' center =R= 6.76 x 106 m
A ) Gravitational force = F = G m M / R2
= (6.67 e -11 ) (550) (5.97 e24) / (6.76 e 6)2 = 4790 N
B) velocity = G M / R = (6.67 e-11)(5.97 e24) / (6.76 e6)
= 7675 m/s
C) centripetal acceleration = v2 / R = (7675)2 / (6.76 e6)
= 8.71 m s-2
D) Time period = T = 2 pi R / v = 2 x 3.14 x (6.76 × 106)
= 5534 seconds = 92.2 minutes
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