Answer:
5.9x10³⁰ kg = 2.97 solar mass.
Explanation:
The mass of Sirius can be calculated using Kepler's Third Law:
<em>where P: is the period, G: is the gravitational constant = 6.67x10⁻¹¹ m³kg⁻¹s⁻², a: is the size of the orbit, M₁: is the mass of the Earth-like planet = 5.97x10²⁴ kg, and M₂: is the mass of Sirius. </em>
<u>Firts, we need to convert the units:</u>
P = 7 months = 1.84x10⁷ s
a = 1 AU = 1.5x10¹¹ m
Now, from equation (1), we can find the mass of Sirius:
Therefore, the mass of Sirius is 5.9x10³⁰ kg = 2.97 solar mass.
I hope it helps you!