Question

Calculate the mass of the sun assuming the earth orbit around the sun is circular with radius 1.5*10'to power 8 km

Answer 1

Answer:

The mean orbital radius of the earth around the sun is 1.5 × 108 km. Hence, the mass of the Sun is 2 × 1030 kg.

Answer 2

The mass of the sun is $2*10^{30}kg$.

Explanation:

$r=1.5*10^{11}$

$T=1 year=365.25 days$

Universal gravitational constant, $G=6.67*10^{-11}Nm^{2}kg^{-2}$

mass of the sun:

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

$=\frac{4*3.14^{2}*(1.5*10^{11})^{3}}{6.67*10^{-11}*(365.25*24*60*60)^{2}}$

≈$2*10^{30}kg$.