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Y_Kistochka [10]
4 years ago
10

A satellite with a mass of 5.6 E 5 kg is orbiting the Earth in a circular path. Determine the satellite's velocity if it is orbi

ting at a distance of 9.8 E 5 m above the Earth's surface. Earth's mass = 5.98 E 24 kg; Earth's radius = 6.357 E 6 m.
Physics
1 answer:
weeeeeb [17]4 years ago
8 0

Answer:

7400 m/s

Explanation:

Centripetal acceleration = gravity

v² / r = GM / r²

v = √(GM / r)

Given:

G = 6.67×10⁻¹¹ m³/kg/s²

M = 5.98×10²⁴ kg

r = 9.8×10⁵ + 6.357×10⁶ = 7.337×10⁶ m

v = √(6.67×10⁻¹¹ (5.98×10²⁴) / (7.337×10⁶))

v = 7400

The orbital velocity is 7400 m/s.

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