# Question #6028a

##### 1 Answer

#### Answer:

The steel ball will have a higher momentum.

#### Explanation:

*Momentum* depends on the **velocity** and on the **mass** of an object according to the following relationship

In your case, you know that the speed of the steel ball is *equal* to the speed of the cotton ball, so you can write

and

You can establish a relationship between the momentum of the steel ball and the momentum of the cotton ball by dividing these two equations

However, you have no information about the *masses* of the two balls, but you know something about their *volumes*.

Mass can be expressed by using density and volume

Since you know that the two balls have *equal* volumes, you can write

Since the density of steel is **bigger** than the density of cotton, you have

Therefore, the steel ball will have the greater momentum *if* velocity and volume are equal.