A 1500-kg satellite orbits a planet in a circular orbit of radius 6.2 × 10⁶ m. What is the angular momentum of the satellite in its orbit around the planet if the satellite completes one orbit every 1.5 × 10⁴ s? A)3.9 × 10⁶ kg . m²/s B)1.4 × 10¹⁴ kg . m²/s C)6.2 × 10⁸ kg .m²/s D)8.1 × 10¹¹ kg . m²/s E)2.4 × 10¹³ kg . m²/s

Question

Quizplus · Accepted Answer

The angular momentum L of a satellite in a circular orbit is given by L = mvr, where m is the mass, v is the orbital speed, and r is the radius. The orbital speed v can be calculated using v = 2πr/T, where T is the period. Substituting the given values, L = 1500 kg * (2π * 6.2 × 10^6 m / 1.5 × 10^4 s) * 6.2 × 10^6 m = 2.4 × 10^13 kg . m^2/s.

A 1500-Kg Satellite Orbits a Planet in a Circular Orbit