In a 2D elastic collision two balls collide (see picture). The 1st balls mass is 50g. It has an initial velocity of 6m/s. The 2nd balls mass is 125g. It has an initial velocity of 0m/s. The 1st ball has a final velocity of 5 m/s and an angle ? = 45°. Find the velocity of the second ball and it’s angle ?.

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Chapter1: Units, Trigonometry. And Vectors
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In a 2D elastic collision two balls collide (see picture). The 1st balls mass is 50g. It has an initial velocity of 6m/s. The 2nd balls mass is 125g. It has an initial velocity of 0m/s. The 1st ball has a final velocity of 5 m/s and an angle ? = 45°. Find the velocity of the second ball and it’s angle ?.

### Collision Illustration:

The diagram consists of two sections: "Before Collision" and "After Collision."

#### Before Collision:

- **Ball 1:** 
  - Moving with an initial velocity labeled as \( V_{1x} \).
  - The velocity vector is directed to the right.

- **Ball 2:** 
  - Stationary, no initial velocity shown.

#### After Collision:

- **Ball 1:** 
  - Deflected at an angle labeled \( \theta \) with new velocity component \( V_{1y} \).

- **Ball 2:** 
  - Moves with a new velocity component \( V_{2y} \), deflected at an angle \( \alpha \).

### Summary:

This diagram illustrates a typical two-dimensional collision scenario where initially, Ball 1 is moving towards Ball 2. After the collision, both balls move in different directions, characterized by resulting velocity vectors and deflection angles. The angles \( \theta \) and \( \alpha \) represent the changes in direction due to the collision.
Transcribed Image Text:### Collision Illustration: The diagram consists of two sections: "Before Collision" and "After Collision." #### Before Collision: - **Ball 1:** - Moving with an initial velocity labeled as \( V_{1x} \). - The velocity vector is directed to the right. - **Ball 2:** - Stationary, no initial velocity shown. #### After Collision: - **Ball 1:** - Deflected at an angle labeled \( \theta \) with new velocity component \( V_{1y} \). - **Ball 2:** - Moves with a new velocity component \( V_{2y} \), deflected at an angle \( \alpha \). ### Summary: This diagram illustrates a typical two-dimensional collision scenario where initially, Ball 1 is moving towards Ball 2. After the collision, both balls move in different directions, characterized by resulting velocity vectors and deflection angles. The angles \( \theta \) and \( \alpha \) represent the changes in direction due to the collision.
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