Satellites: What is the period (in hours) of a satellite circling Mars 100 km above the planet's surface? The mass of Mars is 6.42 × 10²³ kg, its radius is 3.40 × 10⁶ m, and G = 6.67 × 10^-11 N ∙ m²/kg². A) 1.75 h B) 1.25 h C) 1.15 h D) 1.00 h E) 1.45 h

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Quizplus · Accepted Answer

The period of a satellite can be calculated using Kepler's third law and the formula for orbital period: T = 2π√(r³/GM). Plugging in the values, including the altitude added to Mars' radius for r, gives approximately 1.75 hours.

Satellites: What Is the Period (In Hours) of a Satellite