**Answer:**

[tex]7.2*10^{-3} kg*\frac{m}{s}= 7.2 g* \frac{m}{s}[/tex]

**Explanation:**

The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them. That is, what is intended with it is to find the fourth term of a proportion knowing the other three. Remember that proportionality is a constant relationship or ratio between different magnitudes.

If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other) , the direct rule of three must be applied. To solve a direct rule of three, the following formula must be followed:

a ⇒ b

c ⇒ x

Then

[tex]x=\frac{c*b}{a}[/tex]

The direct rule of three is the rule applied in this case to perform the change of units.

The rule of three applies as follows: being 1 kg equivalent to 1000 g, then 7.2*10⁻³ kg m / s, how many grams will they be (keeping m / s without unit changes)?

[tex]\frac{7.2*10^{-3} kg*\frac{m}{s} *1000 g}{1 kg}[/tex]

[tex]7.2 g*\frac{m}{s}[/tex]

Then *[tex]7.2*10^{-3} kg*\frac{m}{s}= 7.2 g* \frac{m}{s}[/tex]*