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A satellite is in a circular orbit about the Earth at a distance of one Earth radius above the surface. What is the speed of the satellite? (The radius of the Earth is 6.4 × 106 m, and G = 6.67 × 10−11 N⋅m 2 /kg2 .)

User MZywitza
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1 Answer

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Answer:

The speed of the satellite is 25.57×10⁻⁵ m/s

Step-by-step explanation:

Satellite: These are bodies which move in orbit around the moon or planets. Some of them are are natural, others are artificial, i.e man-made.

The speed of a satellite in its orbit is represented by the expression below.

v = √(rg)................................. Equation 1

Where v = speed or velocity of the satellite, r = radius of the earth, g = acceleration due to gravity of the earth

Given: r = 6.67×10⁻¹¹ m

Constant: g = 9.8 m/s²

Substituting these values into equation 1,

v = √(9.8×6.67×10⁻¹¹ )

v = √(65.366×10⁻¹¹)

v = 25.57×10⁻⁵ m/s

Thus the speed of the satellite is 25.57×10⁻⁵ m/s

User Alejandro Haro
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