Question

Calculate the height of the communication satellite.
(G = 6.67 × 10^-11 Nm^2/kg^2, M = 6 × 10^24 kg, R = 6400 km.)​

Answer 1

Hey Dear,

◆ Answer -

h = 35889 km

● Explanation -

# Given -

G = 6.67×10^-11 Nm^2/kg^2

M = 6 × 10^24 kg

R = 6400 km

T = 24 hrs = 86400 s

# Solution -

Time period of satellite is given by -

T = 2π √(r^3/GM)

T^2 = 4π^2.r^3/GM

r^3 = GM.T^2 / 4π^2

r^3 = 6.67×10^-11 × 6×10^24 × 86400^2 / 4×3.142^2

r^3 = 7.563×10^22

r = 4.229×10^7 m

r = 42289 km

Height of geostationary satellite is thus -

h = r - R

h = 42289 - 3600

h = 35889 km

Therefore, height of geostationary satellite should be 35889 km.

Thanks..

Answer 2

Answer:

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