What is the force of gravity this is exerted on the earth? The mass and the sun is 1.99 x 10^30 and the earth is 5.97 x 10^24kg.

Question

4 years ago

13

The distance is 1.496 x 10^11m

1 answer:

jeka94 · Answer 1 · 2021-11-29T03:24:51+03:00

The gravitational force between the Sun and the Earth is $3.54\cdot 10^{22}N$

Explanation:

The magnitude of the gravitational force between two bodies is given by :

$F=G\frac{m_1 m_2}{r^2}$

where

$G=6.67\cdot 10^{-11} m^3 kg^{-1}s^{-2}$ is the gravitational constant

$m_1, m_2$ are the masses of the two bodies

r is the separation between the bodies

Here in this problem we have:

$m_1 = 1.99\cdot 10^{30} kg$ is the mass of the Sun

$m_2 = 5.97\cdot 10^{24} kg$ is the mass of the Earth

$r=1.496\cdot 10^{11} m$ is their separation

Substituting into the equation, we find the gravitational force between the Sun and the Earth:

$F=(6.67\cdot 10^{-11})\frac{(1.99\cdot 10^{30})(5.97\cdot 10^{24})}{(1.496\cdot 10^{11})^2}=3.54\cdot 10^{22}N$

Learn more about gravitational force:

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