Answered

Connect with knowledgeable experts and enthusiasts on IDNLearn.com. Whether it's a simple query or a complex problem, our community has the answers you need.

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.
(b) Find a numerical value for Rg .

Sagot :

Tanisharawat014idn

The value of radius (Rg) is 1.475km .

Given,

The mass of the sun = Ms

Radius of the sphere = Rg

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 the gravitational radius for the sun.

We know,

Gravitational potential energy or work done

= Ug = GMs×m/Rg

the given rest energy = E =mc^2

As, it is given that the required work or energy is equal to rest energy,

thus, Ug=E

GMs×m/Rg = mc^2

Rg = GMs/c^2

We know,

G = 6.67×10^-11 N. m^2/kg^2

Ms = 1.99×10^30 kg

c = 3×10^8 m/s

Thus, Rg = 6.67×10^-11 × 1.99×10^30 / (3×10^8)^2

Rg = (13.2733×10^19)/(9×10^16 )

Rg = 1.4748×10^3 m

Rg = 1.475km

Hence, The value of radius (Rg) is 1.475km .

Learn more about gravitational potential energy here:

brainly.com/question/21555779

#SPJ4

Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! Find reliable answers at IDNLearn.com. Thanks for stopping by, and come back for more trustworthy solutions.