A satellite of mass 53.6 kg in geosynchronous orbit at an altitude of 3.58 * 10^4 km above the Earths' surface remains above the same spot on the Earth. Assume its orbit is circular. Find the magnitude of the gravitational force exerted by the Earth on the satellite.

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A satellite of mass 53.6 kg in geosynchronous orbit at an altitude of 3.58 * 10^4 km above the Earths' surface remains above the same spot on the Earth. Assume its orbit is circular. Find the magnitude of the gravitational force exerted by the Earth on the satellite. Hint: The answer is not 526 N. 

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Step 1

Given- 

Mass of satellite (m) = 53.6 kg

Distance from the earth's surface (d) = 3.58*104 km = 3.58*107 m

Mass of the earth (M) = 5.98*1024 kg

Radius of the earth (R) = 6357 km = 6.4*106 m

Gravitational constant (G) = 6.67*10-11 Nm2/kg2

 

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