Question

Calculate the acceleration of gravity (in m/s2) on the surface of the sun.
By what factor would your weight increase if you could stand on the sun? (Never mind that you can't.)

Answer 1

Use g = GM/R^2 for the Sun.

Constants:
- G = 6.67430×10^-11 m^3 kg^-1 s^-2
- M_sun = 1.98847×10^30 kg
- R_sun = 6.96342×10^8 m

g_sun = (6.67430×10^-11)(1.98847×10^30) / (6.96342×10^8)^2
≈ 1.32717×10^20 / 4.84892×10^17
≈ 2.737×10^2 m/s^2

So g_sun ≈ 274 m/s^2.

Relative to Earth (g_earth ≈ 9.80665 m/s^2), your weight would increase by a factor
274 / 9.80665 ≈ 27.9,

i.e., about 28 times heavier (hypothetically).