Question

Assuming that the earth orbit is circle of radius 1.5×18power8 km. Calculate mass of the sun

Answer 1

1.5×18power8=15.18power8

Answer 2

Given,

The Earth's orbit is a circle of radius 1.5x108 km.

To Find,

Mass of the Sun.

Solution,

The distance between sun and earth, r = 1.5 × 10⁸ km = 1.5 × 10¹¹ m

G = 6.67 × 10⁻¹¹ Nm² kg⁻²

T = 365 × 24 × 60 × 60 = 31.536 × 10⁶ s

$\frac{(Mass of Sun) * (Mass of Earth)}{r^{3} }$= Mass of earth × r² × ω²

= Mass of earth × r × $(\frac{2\pi }{T})^{2}$

Mass of sun =  $\frac{4\pi ^{2}r^{3} }{GT^{2} }$

Mass of sun = $\frac{4*(3.14)^{2} * (1.5 * 10^{11} )^{3} }{(31.536 * 10^{6})^{2} }$

Mass of sun = 2.006 × 10³³ kg

Hence, the mass of the Sun is 2.006 × 10³³ kg.