Two masses, m, and m2 are separated by a distance, r. The force of attraction between the two masses is F. If m, increases by 8, how does F change? 64 F (64 times the force) 1/8F (1/8 the force) 8F (8 times the force) 1/64F (1/64 the force)

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**Gravitational Force Calculation**

Two masses, \( m_1 \) and \( m_2 \), are separated by a distance, \( r \). The force of attraction between the two masses is given by:

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

Where:
- \( F_g \) is the gravitational force,
- \( G \) is the gravitational constant,
- \( m_1 \) and \( m_2 \) are the masses,
- \( r \) is the distance between the centers of the two masses.

**Problem Statement:**

If \( m_1 \) increases by a factor of 8, how does the gravitational force \( F \) change?

**Options:**

- ○ 64 F (64 times the force)
- ○ 1/8 F (1/8 of the force)
- ○ 8 F (8 times the force)
- ○ 1/64 F (1/64 of the force)
Transcribed Image Text:**Gravitational Force Calculation** Two masses, \( m_1 \) and \( m_2 \), are separated by a distance, \( r \). The force of attraction between the two masses is given by: \[ F_g = \frac{G m_1 m_2}{r^2} \] Where: - \( F_g \) is the gravitational force, - \( G \) is the gravitational constant, - \( m_1 \) and \( m_2 \) are the masses, - \( r \) is the distance between the centers of the two masses. **Problem Statement:** If \( m_1 \) increases by a factor of 8, how does the gravitational force \( F \) change? **Options:** - ○ 64 F (64 times the force) - ○ 1/8 F (1/8 of the force) - ○ 8 F (8 times the force) - ○ 1/64 F (1/64 of the force)
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