A communications satellite orbits around Earth. Earth has a radius of 6380 km, and the satellite orbits 1140 km above Earth's surface. The satellite has a mass of 915 kg, and moves with a velocity of 7280 m/s. Based on this information, what is the centripetal force exerted on the satellite? 6450 N 89,900 N 14,700 N 8710 N

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A communications satellite orbits around Earth. Earth has a radius of 6380 km, and the satellite orbits 1140 km above Earth's surface. The satellite has a mass of 915 kg, and moves with a velocity of 7280 m/s. Based on this information, what is the centripetal force exerted on the satellite?
 
6450 N
 
89,900 N
 
14,700 N
 
8710 N

 

Expert Solution
Step 1

Given data-

Radius of earth

R=6380 km      =6.38×106 m

Height of the satellite from the surface of the earth is

(h)=1140 km     =1.14×106 m

Therefore the radius of the orbit is

r=R+h    =6.38×106 m+1.14×106 m    =7.52×106 m

Velocity's magnitude of the satellite,

v=7280 m/s

Mass of the satellite

m=915 kg

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