o AT&T; LTE 4:25 PM 10 31% session.masteringphysics.com C Problem 5.85 Mastering
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o AT&T; LTE 4:25 PM 10 31% session.masteringphysics.com C Problem 5.85 MasteringPhysics Problem 5.85 A satellite of mass 5600 kg orbits the Earth and has a periocd of 6560 s Part A Determine the radius of its circular orbit. Express your answer using three significant figures and include the appropriate units. Value Units Submit Give Up Part B of the Earth' s gravitational force Determine the magnitude on the satellite. Express your answer using three significant figures and include the appropriate units.Explanation / Answer
F = G m1 m2/r2
F = G Ms ME/R2
ME=mass of earth
Ms =mass of satellite
R=radius
G=gravitational constant
F= (6.673 x 10-11 Nm2/kg2) (5600 kg) (6.00 x 1024 kg )/(7.26 x 106 m)2
= 42,538 N
Orbital radius,
T2= (4pi2/GME )R3
T2 GME = 4pi2 R3
R3= T2 GME /(4pi2)
R = (T2 GME /(4pi2))1/3
R = ((6560 s)2 (6.673 x 10-11 Nm2/kg2)(6.00 x 1024 kg) /(4pi2))1/3
= 8.12 x 106 m
altitude
a3=(G*M*p2)/(4*pi2) =(6.67*10-11*M*(6560-1)2)/4*pi2
p=period of satellite
a = 1077 km
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