Question

which of the following statements about newtons law of universal gravitation are true?
select all that apply
a gravity is stronger between objects that are farther apart.
b gravity only affects objects on earth.
c there is gravity between you and every mass around you.
d gravity is a force of attraction between things that have mass.
e the force that causes an apple to fall from a tree is the same force that causes the moon to orbit earth.

Explanation:

• Statement a: Newton's Law of Universal Gravitation states that \(F = G\frac{m_1m_2}{r^{2}}\), where \(F\) is the gravitational force, \(G\) is the gravitational constant, \(m_1\) and \(m_2\) are the masses of two objects, and \(r\) is the distance between their centers. As \(r\) increases, \(F\) decreases. So, gravity is weaker between objects that are farther apart. This statement is false.
• Statement b: Gravity is a universal force. It acts between any two masses in the universe, not just on Earth. For example, there is gravity between the Sun and the planets. This statement is false.
• Statement c: According to Newton's Law of Universal Gravitation, since you and every mass around you have mass (\(m_1

eq0\), \(m_2
eq0\)), there is a gravitational force \(F = G\frac{m_1m_2}{r^{2}}\) between you and every other mass. This statement is true.

• Statement d: The formula \(F = G\frac{m_1m_2}{r^{2}}\) shows that gravity is a force of attraction that exists between two objects with mass (\(m_1\) and \(m_2\)). This statement is true.
• Statement e: The force that causes an apple to fall (due to the Earth - apple gravitational interaction) and the force that causes the Moon to orbit the Earth (due to the Earth - Moon gravitational interaction) are both described by Newton's Law of Universal Gravitation (\(F = G\frac{m_1m_2}{r^{2}}\)). This statement is true.

Answer:

C. There is gravity between you and every mass around you.
D. Gravity is a force of attraction between things that have mass.
E. The force that causes an apple to fall from a tree is the same force that causes the moon to orbit Earth.