Question

(a) Calculate the acceleration due to gravity on the surface of the Sun.

Answer 1

a)Acceleration due to gravity on the surface of the Sun is 274.21 m/s²

b) Factor of increase in weight is 27.95

Explanation:

a) Acceleration due to gravity

                      $g=\frac{GM}{r^2}$

 Here we need to find acceleration due to gravity of Sun,

                G = 6.67259 x 10⁻¹¹ N m²/kg²

    Mass of sun, M = 1.989 × 10³⁰ kg

    Radius of sun, r = 6.957 x 10⁸ m

Substituting,

                $g=\frac{6.67259\times 10^{-11}\times 1.989\times 10^{30}}{(6.957\times 10^8)^2}\\\\g=274.21m/s^2$

Acceleration due to gravity on the surface of the Sun = 274.21 m/s²

b) Acceleration due to gravity in earth = 9.81 m/s²

   Ratio of gravity = 274.21/9.81 = 27.95

   Weight = mg

  Factor of increase in weight = 27.95