Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

there was never any gravity in space it does not change it increases ra…

Question

there was never any gravity in space
it does not change
it increases rapidly
it decreases rapidly
what happens to gravity as distance increases?
16/36

Explanation:

Step1: Recall the formula for gravitational force

The formula for gravitational force is \(F = \frac{Gm_1m_2}{r^2}\), where \(G\) is the gravitational constant, \(m_1\) and \(m_2\) are the masses of two objects, and \(r\) is the distance between them.

Step2: Analyze the relationship between gravity and distance

From the formula \(F = \frac{Gm_1m_2}{r^2}\), we can see that \(F\) is inversely proportional to \(r^2\). As \(r\) (distance) increases, the value of \(\frac{1}{r^2}\) decreases. So, gravity decreases as distance increases.

Answer:

It decreases.