Question

Saturn’s largest moon is titan shown below which of the following statements about earth and titan is true. Would it be the gravitational force between earth and Titan is less than that between Saturn and Titan or would it be the national force between earth and Titan is more than that between earth and Saturn, or would it be there is no gravitational force between earth and Titan or the gravity force between earth and Titan is less than that between earth and Pluto

Answer 1

To evaluate the statements provided regarding the gravitational force between Earth and Titan in comparison to other celestial bodies, we first need to understand some fundamentals of gravitational force:

1. Gravitational Force Basics: The gravitational force between two objects depends on their masses and the distance between them. It is given by Newton's law of universal gravitation, which states \( F = G \frac{m_1 m_2}{r^2} \), where \( F \) is the gravitational force, \( G \) is the gravitational constant, \( m_1 \) and \( m_2 \) are the masses of the two objects, and \( r \) is the distance between the centers of the two masses.

Now, let's analyze the options provided:

1. The gravitational force between Earth and Titan is less than that between Saturn and Titan: This statement is true. Saturn is much more massive than Earth, and Titan is a moon of Saturn, so the gravitational pull that Saturn exerts on Titan is greater than that which Earth exerts on Titan.

2. The gravitational force between Earth and Titan is more than that between Earth and Saturn: This statement is false. The gravitational force between Earth and Titan will be significantly less than the gravitational force between Earth and Saturn, as Saturn is vastly more massive than Titan.

3. There is no gravitational force between Earth and Titan: This statement is false. There is indeed a gravitational force between Earth and Titan, as all massive objects exert gravitational forces on one another.

4. The gravity force between Earth and Titan is less than that between Earth and Pluto: This statement is likely false. While Titan is a large moon, Pluto, although classified as a dwarf planet, is still massive enough that the gravitational connection between Earth and Pluto is likely to be stronger than that between Earth and Titan due to distances involved (given the varying distances from Earth to Titan and Earth to Pluto at different times).

In summary, the true statement is: The gravitational force between Earth and Titan is less than that between Saturn and Titan.