The Sun has a mass of 1.99x10^30 kg and a radius of 6.96x10^8 m. Calculate the acceleration due to gravity, in meters per second, on the surface of the Sun?

Respuesta :

Answer:

[tex]g=274\ m/s^2[/tex]

Explanation:

Mass of the Sun, [tex]M=1.99\times 10^{30}\ kg[/tex]

The radius of the Sun, [tex]r=6.96\times 10^8\ m[/tex]

We need to find the acceleration due to gravity on the surface of the Sun. It is given by the formula as follows :

[tex]g=\dfrac{GM}{r^2}\\\\g=\dfrac{6.67\times 10^{-11}\times 1.99\times 10^{30}}{(6.96\times 10^8)^2}\\\\g=274\ m/s^2[/tex]

So, the value of acceleration due to gravity on the Sun is [tex]274\ m/s^2[/tex].

Lanuel

The acceleration due to gravity, in meters per second squared, on the surface of the Sun is [tex]296.88 \;m/s^2[/tex].

Given the following data:

  • Mass of Sun = [tex]1.99 \times 10^{30}[/tex] kilograms
  • Radius of Sun = [tex]6.69 \times 10^8[/tex] meters

Gravitational constant = [tex]6.67 \times 10^{-11}[/tex]

To calculate the acceleration due to gravity, in meters per second squared, on the surface of the Sun:

From the law of gravitational force, we have the formula:

[tex]g = \frac{Gm}{r^2}[/tex]

Where:

  • g is the acceleration due to gravity.
  • G is the gravitational constant.
  • m is the mass of a planet.
  • r is the radius.

Substituting the given parameters into the formula, we have;

[tex]g = \frac{6.67 \times 10^{-11} \times 1.99 \times 10^{30}}{(6.69 \times 10^8)^2} \\\\g= \frac{1.33 \times 10^{20} }{4.48 \times 10^{17}} \\\\g=296.88 \;m/s^2[/tex]

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