Question

summarize it!
select the option(s) that complete the statement.
the law of universal gravity state(s) that
the greater the distance, the stronger the gravitational force.
the greater the distance, the weaker the gravitational force.
mass and distance do not determine gravitational force.
the greater the mass of an object, the more gravitational force it has.

Explanation:

The law of universal gravitation is \( F = G\frac{m_1m_2}{r^2} \), where \( F \) is gravitational force, \( m_1, m_2 \) are masses, \( r \) is distance, and \( G \) is the gravitational constant. From the formula:

• As \( r \) (distance) increases, \( F \) (gravitational force) decreases (inverse - square relationship), so "The greater the distance, the weaker the gravitational force" is correct.
• As \( m_1 \) or \( m_2 \) (mass) increases, \( F \) (gravitational force) increases, so "The greater the mass of an object, the more gravitational force it has" is correct.
• "The greater the distance, the stronger the gravitational force" is wrong because distance and gravitational force are inversely related.
• "Mass and distance do not determine gravitational force" is wrong as the formula shows mass and distance do determine the gravitational force.

Answer:

B. The greater the distance, the weaker the gravitational force.
D. The greater the mass of an object, the more gravitational force it has.