A 61.00 kg hockey play skates due North on a frictionless ice rink with a velocity of 10.00. He is tackled by a second hockey player of mass 78.00 kg who was initially skating due West at velocity 15.00m. Assume the collision is perfectly inelastic, resulting in the two players "sticking together." W N - Ofe E

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A 61.00 kg hockey player skates due North on a frictionless ice rink with a velocity of 10.00 m/s. He is tackled by a second hockey player of mass 78.00 kg who was initially skating due West at a velocity of 15.00 m/s. Assume the collision is perfectly inelastic, resulting in the two players "sticking together."

**Diagram Explanation:**

The diagram shows two hockey players on an ice rink:

- **First Hockey Player:** Moving Northward with an initial velocity represented by an upward arrow.
- **Second Hockey Player:** Moving Westward with an initial velocity represented by a leftward arrow.

The intersection of these two paths forms a right triangle with a hypotenuse representing the combined velocity vector after collision. The collision is at the origin of the coordinate system, where the vertical and horizontal axes intersect.

Key Variables:
- \( v_f \): Final velocity vector after collision.
- \( \theta \): Angle of the final velocity vector with respect to the horizontal axis (West-East line).

**Physics Concept:**

The problem involves a perfectly inelastic collision where momentum is conserved. The momentum components along the North and West directions can be resolved to find the resultant velocity and direction (\( v_f \) and \( \theta \)) of the combined mass after collision.
Transcribed Image Text:A 61.00 kg hockey player skates due North on a frictionless ice rink with a velocity of 10.00 m/s. He is tackled by a second hockey player of mass 78.00 kg who was initially skating due West at a velocity of 15.00 m/s. Assume the collision is perfectly inelastic, resulting in the two players "sticking together." **Diagram Explanation:** The diagram shows two hockey players on an ice rink: - **First Hockey Player:** Moving Northward with an initial velocity represented by an upward arrow. - **Second Hockey Player:** Moving Westward with an initial velocity represented by a leftward arrow. The intersection of these two paths forms a right triangle with a hypotenuse representing the combined velocity vector after collision. The collision is at the origin of the coordinate system, where the vertical and horizontal axes intersect. Key Variables: - \( v_f \): Final velocity vector after collision. - \( \theta \): Angle of the final velocity vector with respect to the horizontal axis (West-East line). **Physics Concept:** The problem involves a perfectly inelastic collision where momentum is conserved. The momentum components along the North and West directions can be resolved to find the resultant velocity and direction (\( v_f \) and \( \theta \)) of the combined mass after collision.
**Physics Problem: Hockey Collision**

**Question 1:**
What is the velocity (\( v_f \)) of the combined hockey players after the collision?

- ○ 9.49 \(\frac{m}{s}\)
- ○ 16.91 \(\frac{m}{s}\)
- ○ 25.37 \(\frac{m}{s}\)
- ○ 4.95 \(\frac{m}{s}\)

**Question 2:**
What angle from due North (\( \theta \)) do the hockey players move after the collision?

- ○ 40.45°
- ○ 62.46°
- ○ 49.55°
- ○ 27.54°

**Question 3:**
Is energy lost in the collision?

- ○ Yes
- ○ Cannot tell with information provided
- ○ No
Transcribed Image Text:**Physics Problem: Hockey Collision** **Question 1:** What is the velocity (\( v_f \)) of the combined hockey players after the collision? - ○ 9.49 \(\frac{m}{s}\) - ○ 16.91 \(\frac{m}{s}\) - ○ 25.37 \(\frac{m}{s}\) - ○ 4.95 \(\frac{m}{s}\) **Question 2:** What angle from due North (\( \theta \)) do the hockey players move after the collision? - ○ 40.45° - ○ 62.46° - ○ 49.55° - ○ 27.54° **Question 3:** Is energy lost in the collision? - ○ Yes - ○ Cannot tell with information provided - ○ No
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