Two identical pucks collide elastically on an air hockey table. Puck 1 was originally at rest; puck 2 has an incoming speed of 7.24 m/s and scatters at an angle of 30° with respect to its incoming direction. What is the velocity (magnitude in m/s and direction in degrees counterclockwise from the +x-axis) of puck 1 after the collision? (Assume the +x-axis is to the right.)

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**Title: Elastic Collision of Two Identical Pucks on an Air Hockey Table**

**Problem Statement:**
Two identical pucks collide elastically on an air hockey table. Puck 1 was originally at rest; puck 2 has an incoming speed of 7.24 m/s and scatters at an angle of 30° with respect to its incoming direction. Determine the velocity (magnitude in m/s and direction in degrees counterclockwise from the +x-axis) of puck 1 after the collision. (Assume the +x-axis is to the right.)

**Visual Explanation:**
The diagram shows two pucks:

1. **Puck 1** (red) is initially at rest.
2. **Puck 2** (blue) is moving towards Puck 1 with a velocity of 7.24 m/s from left to right.

Puck 2 scatters at a 30° angle from its initial path after the collision.

- **Final Velocity of Puck 1** (\(\vec{v_1}\)) is shown as a question mark, indicating it's to be calculated.

**Required Calculations:**

- **Magnitude (m/s):**  
  Fill in the value after solving.
  
- **Direction (° counterclockwise from the +x-axis):**  
  Fill in the value after solving.

This problem involves the principles of conservation of momentum and kinetic energy due to the elastic nature of the collision.
Transcribed Image Text:**Title: Elastic Collision of Two Identical Pucks on an Air Hockey Table** **Problem Statement:** Two identical pucks collide elastically on an air hockey table. Puck 1 was originally at rest; puck 2 has an incoming speed of 7.24 m/s and scatters at an angle of 30° with respect to its incoming direction. Determine the velocity (magnitude in m/s and direction in degrees counterclockwise from the +x-axis) of puck 1 after the collision. (Assume the +x-axis is to the right.) **Visual Explanation:** The diagram shows two pucks: 1. **Puck 1** (red) is initially at rest. 2. **Puck 2** (blue) is moving towards Puck 1 with a velocity of 7.24 m/s from left to right. Puck 2 scatters at a 30° angle from its initial path after the collision. - **Final Velocity of Puck 1** (\(\vec{v_1}\)) is shown as a question mark, indicating it's to be calculated. **Required Calculations:** - **Magnitude (m/s):** Fill in the value after solving. - **Direction (° counterclockwise from the +x-axis):** Fill in the value after solving. This problem involves the principles of conservation of momentum and kinetic energy due to the elastic nature of the collision.
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