Saturn's largest moon is Titan, shown below. Which of the following statements about Earth and Titan is true?%0D%0A%0D%0A%0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0AThe gravitational force between Earth and Titan is more than that between Earth and Saturn.%0D%0AThe gravitational force between Earth and Titan is more than that between Earth and Saturn.%0D%0A%0D%0AThere is no gravitational force between Earth and Titan.%0D%0AThere is no gravitational force between Earth and Titan.%0D%0A%0D%0AThe gravitational force between Earth and Titan is less than that between Saturn and Titan.%0D%0AThe gravitational force between Earth and Titan is less than that between Saturn and Titan.%0D%0A%0D%0AThe gravitational force between Earth and Titan is less than that between Earth and Pluto.

Answer 1

To evaluate the statements regarding the gravitational interactions between Earth, Titan, and Saturn, we need to consider the following points:

1. Gravitational Force: The gravitational force between two bodies is determined by their masses and the distance between them, according to Newton's law of universal gravitation. The formula for gravitational force \( F \) is:

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

   where \( G \) is the gravitational constant, \( m_1 \) and \( m_2 \) are the masses of the two bodies, and \( r \) is the distance between their centers.

2. Comparing Forces: Titan is a moon of Saturn, so its gravitational interactions will be significantly influenced by the mass of Saturn. Earth is also much larger than Titan, but the gravitational force between Earth and Titan is influenced by the mass of each object involved.

Now, let's analyze each statement:

1. The gravitational force between Earth and Titan is more than that between Earth and Saturn.

   • False: The mass of Saturn is much larger than that of Titan, leading to a greater gravitational force between Earth and Saturn compared to Earth and Titan.

2. There is no gravitational force between Earth and Titan.

   • False: There is indeed a gravitational force between Earth and Titan due to their respective masses, though it is weaker than the force between Earth and Saturn.

3. The gravitational force between Earth and Titan is less than that between Saturn and Titan.

   • True: Since Saturn is much more massive than Earth, the gravitational attraction between Saturn and its moon Titan is greater than that between Earth and Titan.

4. The gravitational force between Earth and Titan is less than that between Earth and Pluto.

   • False: While this could depend on the positions of Earth and Pluto, in general, Pluto is much less massive than Titan, meaning the gravitational force between Earth and Titan (considering Titan's larger mass) is likely greater than that between Earth and Pluto.

Thus, the correct response is:

The gravitational force between Earth and Titan is less than that between Saturn and Titan.