buddgirl03
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Which is greater, the force exerted by Saturn on the sun or the force exerted by the earth on the sun how much grater

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skyluke89

The gravitational force between the Earth and the Sun is slightly larger than the force between the Sun and Saturn

Explanation:

The magnitude of the gravitational force between two objects is given by

[tex]F=G\frac{m_1 m_2}{r^2}[/tex]

where

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

m1, m2 are the masses of the two objects

r is the separation between them

For the Sun and Saturn, we have:

[tex]m_1 = 1.99\cdot 10^{30} kg[/tex] (mass of the Sun)

[tex]m_2 = 5.68\cdot 10^{26}kg[/tex] (mass of Saturn)

[tex]r=1.50\cdot 10^9 m[/tex] is the distance between the Sun and Saturn

Substituting, we find the gravitational force between the Sun and Saturn:

[tex]F=(6.67\cdot 10^{-11}) \frac{(1.99\cdot 10^{30})(5.68\cdot 10^{26})}{(1.50\cdot 10^9)^2}=3.35\cdot 10^{28} N[/tex]

For the Sun and the Earth, we have:

[tex]m_1 = 1.99\cdot 10^{30} kg[/tex] (mass of the Sun)

[tex]m_2 = 5.98\cdot 10^{24}kg[/tex] (mass of the Earth)

[tex]r=1.50\cdot 10^8 m[/tex] is the distance between the Sun and the Earth

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

[tex]F=(6.67\cdot 10^{-11}) \frac{(1.99\cdot 10^{30})(5.98\cdot 10^{24})}{(1.50\cdot 10^8)^2}=3.52\cdot 10^{28} N[/tex]

So, the force between the Earth and the Sun is slightly larger than the force between the Sun and Saturn.

Learn more about gravitational force:

brainly.com/question/1724648

brainly.com/question/12785992

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samueladesida43

The force exerted by the Earth on the sun is greater than the force exerted by Saturn on the sun by 0.179.

HOW TO CALCULATE THE FORCE EXERTED BY A PLANET ON THE SUN:

  • The force exerted by a planet on the sun can be calculated using the following formula:

SUN AND SATURN:

F = G m1.m2/r²

Where;

  1. G = gravitational constant (6.67 x 10-¹¹ Nm²/kg²)
  2. m1 = mass of sun (1.99 × 10³⁰kg)
  3. m2 = mass of Saturn (5.68 × 10²⁶Kg)
  4. r = average distance between sun and Saturn (1.5 × 10⁹m)

  • F = 6.67 x 10-¹¹ {1.99 × 10³⁰ × 5.68 × 10²⁶ ÷ (1.5 × 10⁹)²}

  • F = 3.349 × 10²⁸N

SUN AND EARTH:

  1. G = gravitational constant (6.67 x 10-¹¹ Nm²/kg²)
  2. m1 = mass of sun (1.99 × 10³⁰kg)
  3. m2 = mass of Earth (5.98 × 10²⁴Kg)
  4. r = average distance between sun and earth (1.5 × 10⁸m)

  • F = 6.67 x 10-¹¹ {1.99 × 10³⁰ × 5.98 × 10²⁴ ÷ (1.5 × 10⁸)²}

  • F = 3.528 × 10²⁸N

  • This shows that the force exerted by the Earth on the sun (3.528 × 10²⁸N) is greater than the force exerted by Saturn on the Sun (3.349 × 10²⁸N).

  • The difference between these two forces is calculated as follows:

  • 3.528 × 10²⁸N - 3.349 × 10²⁸N

  • = 0.179 or 1.79 × 10-¹

Learn more at: https://brainly.com/question/3009841?referrer=searchResults

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