# Question #6cea0

##### 1 Answer

#### Answer:

I think it's

#### Explanation:

*Dimensional formulas* use **mass**, **length**, and **time** to express physical quantities as a propduct of powers of *fundamental quantities*.

Since *velocity* is defined as **distance** divided by **time**, you can say that

This means that the dimensional formula for velocity will have

This tells you that

*you have no units of mass in equation, since*#"M"# *is raised to the power of zero*;*you have units of length, meters, raised to the power of 1*;*you have units of time, seconds, raised to the power of negative 1*;

So, take the equation for *escape velocity* and test to see if these are the units that you're left with for the dimensional formula.

*universal gravitational constant*, equal to

If you use units, the equation will look like this

As far as units are concerned, this will give you

As you can see, this confirms the initial dimensional formula, since you have meters multiplied by seconds to the power of negative 1. Therefore, the dimensional formula for escape velocity is