Calculate the mass of the Sun based on data for Earth’s orbit and compare the value obtained with the Sun’s actual mass.

Problem 44PE

Solution 44 PE

Step 1 :

In this question, we need to find the mass of Sun based on data of Earth’s orbit

We also need to compare the obtained results with actual mass of Sun

Step 2 :

Let us consider the data needed

Radius of Earth

Period of Earth

Gravitational mass of Earth

We can for the mass using relation

Rearranging this equation to solve for mass

We get

Substituting values we get

Thus we have obtained mass of Sun as