The orbital speed of Earth about the Sun is 3.00 × 104 m/s and its distance from the Sun is 1.50 × 1011 m. The mass of Earth is approximately 6.00 × 1024 kg and that of the Sun is 2.00 × 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].