The orbital speed of Earth about the Sun is 3.00 Ă— 104 m/s and its distance from the Sun is 1.50 Ă— 1011 m. The mass of Earth is approximately 6.00 Ă— 1024 kg and that of the Sun is 2.00 Ă— 1030 kg. What is the magnitude of the force exerted by the Sun on Earth?

Respuesta :

Answer:

The force exerted by the Sun on Earth is [tex]3.56x10^{22}N[/tex].

Explanation:

The universal law of gravity is defined as:

[tex]F = G\frac{m1m2}{r^{2}}[/tex]  (1)

Where F is the force, m1 is the mass of the Earth and m2 is the mass of the Sun, G is the gravitational constant and r is the distance between them.

Then, equation 1 can be used to determine the force exerted by the Sun on Earth.

[tex]F = (6.67x10^{-11}kg.m/s^{2}.m^{2}/kg^{2})\frac{(6.00x10^{24}Kg)(2.00x10^{30}Kg)}{(1.5x10^{11}m)^{2}}[/tex]

[tex]F = 3.56x10^{22}Kg.m/s^{2}[/tex]

[tex]F = 3.56x10^{22}N[/tex]

Hence, the force exerted by the Sun on Earth is [tex]3.56x10^{22}N[/tex].