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 orbiting velocity of the satellite is 4.2km/s.

To find the answer, we need to know about the orbital velocity of a satellite.

What's the expression of orbital velocity of a satellite?

• Mathematically, orbital velocity= √(GM/r)
• r = radius of the orbital, M = mass of earth

What's the orbital velocity of a satellite orbiting earth with a radius 3.57 times the earth radius?

• M= 5.98×10²⁴ kg, r= 3.57× 6.37×10³ km = 22.7×10⁶m
• Orbital velocity= √(6.67×10^(-11)×5.98×10²⁴/22.7×10⁶)

=4.2km/s

Thus, we can conclude that the orbiting velocity of the satellite is 4.2km/s.

Learn more about the orbital velocity here:

brainly.com/question/22247460

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