Problem 13.21 (Figure 1) Three satellites orbit a planet of radius R, as shown i
ID: 1294924 • Letter: P
Question
Problem 13.21 (Figure 1) Three satellites orbit a planet of radius R, as shown in the figure. Satellites S1 and S3 have mass m. Satellite S2 has mass 2 m. Satellite S1 orbits in 220 minutes and the force on S1 is 10,000 N. Part C What is the force on S2? Express your answer to three significant figures and include the appropriate units. F= Value Units Part D What is the force on S3? Express your answer to three significant figures and include the appropriate units. F= Value Units Part E What is the kinetic-energy ratio K1/K3 for S1 and S3? K1/K3=Explanation / Answer
Using the formula for period,
a)
[T2 /T1] ^2 = [2m /m] since R is the same for both
T2 /T1 = 2.
T2 = 250* 2 = 353.55 minutes.
b)
[T3 /T1]^2 = [2R /3R) ^3 since m is the same for both
T3/T1 = 0.544
T3 = 0.544*250 = 136.1 minutes
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Using the formula for force,
c)
F2/F1 = [2m /m] since R is the same for both
F2 =2*10,000 = 20,000 N.
d)
F3/F1 = [2R /3R] ^2 since m is the same for both
F3/F1 =0.444
F3 = 0.444*10,000 = 4440 N
e)
Using the formula for k.E, = 2 GMm/r
K1/K3 = [3R/2R] since mass is the same for both..
K1/K3 = 1.5