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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.)

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onyebuchinnaji

The speed of a satellite in a circular orbit around the Earth is 4,188 m/s.

Speed of the satellite

The speed of the satellite is calculated as follows;

v = √GM/r

where;

  • M is mass of Earth
  • r is radius of satellite

v = √[(6.67 x 10⁻¹¹ x 5.98 x 10²⁴) / (3.57 x 6.37 x 10⁶)]

v = 4,188 m/s

Thus, the speed of a satellite in a circular orbit around the Earth is 4,188 m/s.

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