Question

Find a mathematical model for the below statement. (Use k for the constant of proportionality.) The gravitational attraction F between two objects of masses m1 and m2 is jointly proportional to the masses and inversely proportional to the square of the distance r between the objects.

Answer 1

Answer:

$F = k\frac{m_1m_2}{r^2}$

Step-by-step explanation:

Direct proportional:

Multiplication

Inverse proportional:

Division

The gravitational attraction F between two objects of masses m1 and m2 is jointly proportional to the masses

This means that:

$F = k\frac{m_1m_2}{}$

Inversely proportional to the square of the distance r between the objects.

Denominator is $r^2$. Thus:

$F = k\frac{m_1m_2}{r^2}$