Two satellites, x and y, are orbiting earth. satellite x is 1.2 × 10^6 m from earth, and satellite y is 1.9 × 10^5 m from earth.
which best compares the satellites? satellite x has a greater period and a faster tangential speed than satellite y. satellite x has a greater period and a slower tangential speed than satellite y. satellite x has a shorter period and a faster tangential speed than satellite y. satellite x has a shorter period and a slower tangential speed than satellite y.

M*G = 5.98*10^24*6.674*10^-11 = 4.0*10^14 
1) Satellite X 
g = M*G/((6.37+1.2)*10^6)^2 = 4.0*10^14/(7.49^2*10^12) = 7.130 m/sec^2 
g = 7.130 = V^2/(r+h) 
V = √7.130*7.49*10^6 = 7308 m/sec 
T = C/V = (6.2832*7.49*10^6)/(7.308*10^3) = 6440 sec 

2) Satellite Y 
g = M*G/((6.37+0.19)*10^6)^2 = 4.0*10^14/(6.56^2*10^12) = 9.295 m/sec^2 
g = 9.295 = V^2/(r+h) 
V = √9.295*6.56*10^6 = 7809 m/sec 
T = C/V = (6.2832*6.56*10^6)/(7.809*10^3) = 5278 sec 

Satellite X has a greater period and a slower tangential speed than satellite Y

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