Physics: 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.

Aplanet is orbiting a star. calculate the mass

preguntassimples

16.01.2022

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

$T^2 = \dfrac{4\pi^2}{GM}r^3$

now,

$M = \dfrac{4\pi^2}{GT^2}r^3$

where as, G = 6.67 x 10⁻¹¹ m³/kg.s²

$M = \dfrac{4\pi^2}{6.67\times 10^{-11}\times (3.31\times 10^7)^2}\times (2.62\times 10^{11})^3$

M = 9.71 x 10³⁰ Kg

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

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amanda7771

12.12.2021

Colour is the correct answer.

Explanation:

Can I get BRAINLIEST please?

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