#### Solution By Steps
***Step 1: Cue Ball Mass Before and After Collision***
The mass of the cue ball remains the same before and after the collision.
***Step 2: Ball #1 Mass Before and After Collision***
The mass of ball #1 also remains the same before and after the collision.
***Step 3: Initial Velocity of the Balls***
Since ball #1 is initially at rest, the initial velocity of both balls is the velocity of the cue ball.
***Step 4: Change in Velocity of the Cue Ball After Collision***
After the collision, the cue ball changes its velocity due to the transfer of momentum to ball #1.
***Step 5: Change in Velocity of Ball #1 After Collision***
Ball #1 acquires a velocity after the collision, as momentum is transferred from the cue ball.
***Step 6: Change in Momentum After Hitting Ball #1***
Yes, there is a change in momentum after hitting ball #1 due to the transfer of momentum from the cue ball.
#### Final Answer
1. Cue ball mass remains the same.
2. Ball #1 mass remains the same.
3. Initial velocity of the balls is the velocity of the cue ball.
4. There is a change in velocity of the cue ball after collision.
5. There is a change in velocity of ball #1 after collision.
6. There is a change in momentum after hitting ball #1.
#### Key Concept
Conservation of Momentum
#### Key Concept Explanation
In collisions, the total momentum before and after the collision remains constant if no external forces are involved. The momentum is transferred between objects, resulting in changes in their velocities while the total momentum of the system remains unchanged.
Follow-up Knowledge or Question
What is the relationship between momentum and velocity in the context of collisions?
How does the conservation of momentum apply to elastic collisions?
What are the differences between elastic and inelastic collisions in terms of kinetic energy conservation?
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