Homework Answers
a] F = GMeMs/(REarth +height)^2
= 6.67e-11*5.97e24*2.88e4/(6378000+185000)^2
= 266249 N
b] Gravitational PE = -GMeMs/(REarth +height)
= -6.67e-11*5.97e24*2.88e4/(6378000+185000)
= -1.747*10^12 J
c] Gravitational force = centripetal force
GMeMs/r^2 = Ms*v^2/r where v = sqrt(GMe/r)
GMe/r = v^2
v = sqrt(GMe/r) where r = REarth +height
= sqrt(6.67e-11*5.97e24/(6378000+185000))
= 7789 m/s = 7789*2.237 mph = 17424 mph answer
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Data: G-6.67 x 10 Nm /kg Rearth 6378 km; me-5.97 x 104 kg m.-2.88 x 104...
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