The dwarf planet Eris has a moon called Dysomia,which is much smaller in mass than Eris.If Dysomia has an orbital period of 16 days and orbits Eris at a distance of 40,000 km,then what is the mass of Eris? A)2 × 10¹³ kg B)2 × 10²² kg C)2 × 10²⁸ kg D)2 × 10³² kg E)2 × 10³⁵ kg

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Quizplus · Accepted Answer

Using Kepler's third law and the formula for gravitational force, the mass of Eris can be calculated. The formula is M = (4π²r³)/(G*T²), where r is the orbital radius, G is the gravitational constant, and T is the orbital period. Plugging in the values, the mass of Eris is approximately 2 × 10²² kg.

The Dwarf Planet Eris Has a Moon Called Dysomia,which Is