Question

jump 2 feet on earth could jump 10 fe on the moon. what is the relationship between mass and gravity? more mass, more gravity more mass, less gravity mass has no effect on gravity.

Explanation:

Gravity is a force of attraction between objects. According to Newton's law of universal gravitation, the gravitational force \( F = G\frac{m_1m_2}{r^2}\), where \(G\) is the gravitational constant, \(m_1\) and \(m_2\) are the masses of the two objects, and \(r\) is the distance between their centers. When the distance \(r\) is fixed (for example, comparing the gravity on the surface of a planet or moon, assuming the radius \(r\) of the celestial body is the distance from the center to the surface), if one object (like a person) has a fixed mass \(m_1\), the gravitational force \(F\) (which we can relate to the "gravity" experienced) is directly proportional to the mass \(m_2\) of the celestial body. The Earth has a larger mass than the Moon. As shown in the picture, a person can jump higher on the Moon (where gravity is weaker) than on Earth (where gravity is stronger), indicating that more mass of a celestial body leads to stronger gravity.

Answer:

A. More mass, more gravity