Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

when two objects are near each other, how would increasing one objects …

Question

when two objects are near each other, how would increasing one objects mass affect it?
the shape of the object would change.
the weight of the object would decrease.
the gravitational force of the object would increase.
the mass of the object would be stronger than gravity.

Explanation:

Brief Explanations

According to Newton's law of universal gravitation \(F = G\frac{m_1m_2}{r^2}\) (where \(F\) is the gravitational force, \(G\) is the gravitational constant, \(m_1\) and \(m_2\) are the masses of the two objects, and \(r\) is the distance between their centers of mass). When two objects are near each other (\(r\) is constant), if we increase one object's mass (say \(m_1\)), the gravitational force \(F\) between them will increase.
The shape of an object is not related to the gravitational interaction in this context. Weight \(W=mg\) (where \(g\) is the acceleration due to gravity), increasing mass would increase weight (not decrease). Mass and gravity are not in a "stronger than" relationship in the way described in the last option.

Answer:

The gravitational force of the object would increase.