What is the final velocity and angle of ball 2 after collision on a pool table?

In summary, the pool table problem involves two balls with different masses and initial velocities colliding at an angle of 34°. The goal is to solve for the final velocity and angle of the second ball after the collision. Using the equation m1vo1 + m2vo2 = m1vf1 + m2vf2, the final velocity of ball 2 (Vf2) can be calculated as 3.2 m/s and the angle (β) can be calculated using trigonometric functions.
  • #1
bmx_Freestyle
11
0
POOL TABLE PROBLEM.
When ball 1 hits ball 2, they both go off at different angles. What is the final velocity of the second ball?

GIVEN:
ball 1=4 kg
ball 2= 10 kg
Vo1=8 m/s
Vf1=3 m/s
Vo2=0
θ=34 ° (ball 2 moves at a speed of 3 m/s @ 34°)
Solve for Vf2 and the angle for ball 2 after the collision (Angle β)

Relevant equations:
m1vo1 + m2vo2 = m1vf1 + m2vf2

i did (4)(8) + 0 = (10)(vf2)

i had no clue if this was right though. are you supposed to use sin, cos, or tan θ?
 
Physics news on Phys.org
  • #2
bmx_Freestyle said:
POOL TABLE PROBLEM.
When ball 1 hits ball 2, they both go off at different angles. What is the final velocity of the second ball?

GIVEN:
ball 1=4 kg
ball 2= 10 kg
Vo1=8 m/s
Vf1=3 m/s
Vo2=0
θ=34 ° (ball 2 moves at a speed of 3 m/s @ 34°)
Solve for Vf2 and the angle for ball 2 after the collision (Angle β)
But you just said that ball 2 moves at a speed of 3 m/s @ 34° :confused:
 

1. How is momentum conserved on a pool table?

According to the law of conservation of momentum, the total momentum of a closed system remains constant. In the case of a pool table, when two balls collide, the total momentum before and after the collision remains the same. This means that the momentum of one ball increases while the other decreases, but the total momentum of the system remains unchanged.

2. Does the mass of the pool balls affect momentum?

Yes, the mass of the pool balls does affect momentum. According to Newton's second law of motion, an object's momentum is directly proportional to its mass. This means that a heavier pool ball will have more momentum than a lighter pool ball when traveling at the same speed.

3. How does the speed of the cue ball affect the momentum of the other balls?

The speed of the cue ball has a direct impact on the momentum of the other balls. When the cue ball collides with the other balls, it transfers some of its momentum to them. The faster the cue ball is moving, the more momentum it will transfer to the other balls, causing them to move faster and with more force.

4. Can friction affect momentum on a pool table?

Yes, friction can affect momentum on a pool table. Friction is the force that resists the motion of objects in contact with each other. When the pool balls collide, friction between them can cause a slight decrease in momentum as some of the energy is converted into heat. This is why pool tables are often covered with a felt-like material to reduce friction and maintain the momentum of the balls.

5. How does the angle of the collision affect momentum on a pool table?

The angle of collision has a significant impact on momentum on a pool table. When two balls collide at an angle, the momentum is transferred in different directions. If the balls collide at a right angle, the momentum is transferred in a perpendicular direction. However, if the balls collide at an oblique angle, the momentum is transferred in both a perpendicular and parallel direction, resulting in a change in the direction of the balls' movement.

Similar threads

Collision finding final velocity
    • Introductory Physics Homework Help
Replies
1
Views
996
Golf club 🏌️and ball ⛳ impulse problem
    • Introductory Physics Homework Help
Replies
19
Views
1K
Finding two objects velocity after an elastic collision
    • Introductory Physics Homework Help
Replies
10
Views
2K
Momentum of ball on a pool table
    • Introductory Physics Homework Help
Replies
12
Views
3K
Average force and angle, collision problem
    • Introductory Physics Homework Help
Replies
23
Views
2K
Collision with a ball spinning about its vertical axis
    • Introductory Physics Homework Help
Replies
9
Views
2K
What is the momentum and velocity of each ball after hit?
    • Introductory Physics Homework Help
Replies
6
Views
2K
What is the momentum and velocity of each ball after the....?
    • Introductory Physics Homework Help
Replies
7
Views
1K
Question about Momentum and Collisions
    • Introductory Physics Homework Help
Replies
6
Views
1K
What is the speed of the 8-ball after the collision?
    • Introductory Physics Homework Help
Replies
2
Views
3K

Hot Threads

Recent Insights

Back
Top