A pool ball moving 1.33 m/s strikes an identical ball at rest. Afterward, the first ball moves 0.750 m/s at a 33.30 angle. What is the velocity of the other ball?

Explanation:

We need to apply the conservation law of linear momentum to two dimensions:

Let = momentum of the 1st ball

= momentum of the 2nd ball

In the x-axis, the conservation law can be written as

or

Since we are dealing with identical balls, all the m terms cancel out so we are left with

Putting in the numbers, we get

In the y-axis, there is no initial y-component of the momentum before the collision so we can write

or

Taking the ratio of the sine equation to the cosine equation, we get

or

Solving now for ,

i think it would be 5