For a circular orbit, GM = 3.99 × 10^14 m³/s² and orbital radius r = 7.0 × 10^6 m. Use v = sqrt(GM/r) to find orbital speed.

7.55 × 10^3 m/s, about 7.6 km/s. GM/r = (3.99 × 10^14)/(7.0 × 10^6) = 5.70 × 10^7 m²/s². Take the square root: v = 7.55 × 10^3 m/s. Convert to about 7.6 km/s.

MYP Physics · 15 · structured

Orbit-speed estimate

Fields and gravity · Original GioPhysics question with a detailed, mark-by-mark answer guide.

Demand: discriminating
Marks: 6
Topics: 1
Answer: Complete

Question6 marks

For a circular orbit, GM = 3.99 × 10¹⁴ m³/s² and orbital radius r = 7.0 × 10⁶ m. Use v = √(GM/r) to find orbital speed.

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Build a visible chain from the information given to the quantity or statement requested.

Make assumptions explicit, connect several ideas, and test whether the final result is physically reasonable.

Response type: structured
Allocation: 6 marks
Demand: discriminating

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For a circular orbit, GM = 3.99 × 1014 m³/s² and orbital radius r = 7.0 × 106 m. Use v = √(GM/r) to find orbital speed.

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For a circular orbit, GM = 3.99 × 10¹⁴ m³/s² and orbital radius r = 7.0 × 10⁶ m. Use v = √(GM/r) to find orbital speed.