Question

A certain white dwarf star was once an average star like our Sun. But now it is in the last stage of its evolution and is the size of our Moon but has the mass of our Sun.

Estimate gravity on the surface on this star.

I know the solution of this question it is as the picture shows but I only need to add *10^3 to the lower part of the division lower part to get the correct answer. But I don't know why I should add it can anyone explain?

Answer 1

`g=4.38*10^(7) m/s^2`

Step-by-step explanation:

To solve this, we need to know the mass of the sun, and the radius of the moon

`M_(s) = 1.989*10^(30)kg \\R_(m) = 1737400m`

Now we can plug our values into our equation:

`g=G*(M_(E) )/(r^(2) )`

This gives us:

`g=6.67*10^(-11)*(1.989*10^(30))/(1737400^(2))`

This equals:

`g=4.38*10^(7) m/s^2`