Answered

At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Connect with a community of experts ready to help you find accurate solutions to your questions quickly and efficiently. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Imagine that the entire Sun, of mass MS , collapses to a sphere of radius Rg such that the work required to remove a small mass m from the surface would be equal to its rest energy mc² . This radius is called the gravitational radius for the Sun.(a) Use this approach to show that Rg = GMS / c² .

Sagot :

It is proved for gravitational radius that Rg=GMs/c^2 .

Given,

The mass of sun = Ms

Sphere of radius = Rg

Sun collapses to a sphere such that the work required to remove a small mass (m) from the surface would be equal to its rest energy mc^2 .

The given radius (Rg) is called as gravitational radius for sun.

We know,

gravitational potential energy Ug = G ×Ms×m/Rg

given, the rest energy, E =mc^2

As it is given that work required to remove small mass is equal to rest energy,

thus, Ug=E

G×Ms×m/Rg = mc^2

Rg =GMs/c^2

Hence, it is proved for gravitational radius that Rg=GMs/c^2 .

What is gravitational potential energy?

Total work done in assembling bodies together,in their respective places, is called gravitational potential energy of the system.

Learn more about gravitational potential energy here:

brainly.com/question/21555779

#SPJ4