Question

Find the speed of a satellite in a circular orbit around the Earth with a radius 3.57 times the mean radius of the Earth. (Radius of Earth = 6.37×103 km, mass of Earth = 5.98×1024 kg, G = 6.67×10-11 Nm2/kg2.)

Answer 1

The speed of the satellite in a circular orbit around the Earth is 1.32 x 10⁵ m/s.

Speed of the satellite

v = √(GM/r)

where;

• G is universal gravitation constant
• M is mass of Earth
• r is radius of the satellite

v = √(6.67 x 10⁻¹¹ x 5.98 x 10²⁴/3.57 x 6.37x 10³)

v = 1.32 x 10⁵ m/s

Thus, the speed of the satellite in a circular orbit around the Earth is 1.32 x 10⁵ m/s.

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