What is the period 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 x 10^-11 N·m²/kg² A) 1.75 hours B) 1.25 hours C) 1.15 hours D) 1.00 hours E) 1.45 hours

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Quizplus · Accepted Answer

The period of a satellite can be calculated using Kepler's third law, which relates the period to the radius of the orbit and the mass of the planet. The formula is T = 2π√(r³/GM), where r is the distance from the center of Mars to the satellite (radius of Mars + altitude), G is the gravitational constant, and M is the mass of Mars. Plugging in the values, the period is approximately 1.75 hours.

What Is the Period of a Satellite Circling Mars 100