Aplanet is orbiting a star. calculate the mass of the star using the fact that the period of the planet is 3.31 × 107 s and its distance from the star is 2.62×1011 m.

M = 9.71 x 10³⁰ Kg

Explanation:

given,

Time period of the planet ,T = 3.31 x 10⁷ s

distance from the star, r = 2.62 x 10¹¹ m

mass of the star = ?

using Kepler third law

now,

where as, G = 6.67 x 10⁻¹¹ m³/kg.s²

M = 9.71 x 10³⁰ Kg

The mass of the star is equal to M = 9.71 x 10³⁰ Kg.