The mass of a pigeon hawk is twice that of the pigeons it hunts. Suppose a pigeon is gliding north at a speed of Up = 24.4 m/s when a hawk swoops down, grabs the pigeon, and flies off, as shown in the figure. The hawk was flying north at a speed of VH = 36.2 m/s, at an angle 0 = 45° below the horizontal at the instant of the attack. What is the birds' final speed of just after the attack? Uf = m/s What is the angle of below the horizontal of the final velocity vector of the birds just after the attack? Of = Hawk UH up Pigeon north UP

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Chapter1: Units, Trigonometry. And Vectors
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The image presents a physics problem involving the collision of two birds: a hawk and a pigeon. 

**Text Description:**
1. The mass of a pigeon hawk is twice that of the pigeons it hunts. 
2. A pigeon is gliding north at a speed of \( v_P = 24.4 \, \text{m/s} \) when a hawk swoops down, grabs the pigeon, and flies off.
3. The hawk was flying north at a speed of \( v_H = 36.2 \, \text{m/s} \), at an angle \( \theta = 45^\circ \) below the horizontal at the instant of the attack.

**Questions:**
- What is the birds' final speed \( v_f \) just after the attack?
- What is the angle \( \theta_f \) below the horizontal of the final velocity vector of the birds just after the attack?

**Diagram Explanation:**
- The diagram shows a hawk positioned above a pigeon.
- The hawk's velocity \( v_H \) is represented by a vector at an angle of \( \theta = 45^\circ \) below the horizontal (north) direction, heading downward and north.
- The pigeon's velocity \( v_P \) is represented by a horizontal vector pointing north.
- The directions are marked with "up" and "north" to establish the coordinate system. 

A box is provided next to each question to fill in the numerical answers corresponding to the final speed \( v_f \) and the final angle \( \theta_f \).
Transcribed Image Text:The image presents a physics problem involving the collision of two birds: a hawk and a pigeon. **Text Description:** 1. The mass of a pigeon hawk is twice that of the pigeons it hunts. 2. A pigeon is gliding north at a speed of \( v_P = 24.4 \, \text{m/s} \) when a hawk swoops down, grabs the pigeon, and flies off. 3. The hawk was flying north at a speed of \( v_H = 36.2 \, \text{m/s} \), at an angle \( \theta = 45^\circ \) below the horizontal at the instant of the attack. **Questions:** - What is the birds' final speed \( v_f \) just after the attack? - What is the angle \( \theta_f \) below the horizontal of the final velocity vector of the birds just after the attack? **Diagram Explanation:** - The diagram shows a hawk positioned above a pigeon. - The hawk's velocity \( v_H \) is represented by a vector at an angle of \( \theta = 45^\circ \) below the horizontal (north) direction, heading downward and north. - The pigeon's velocity \( v_P \) is represented by a horizontal vector pointing north. - The directions are marked with "up" and "north" to establish the coordinate system. A box is provided next to each question to fill in the numerical answers corresponding to the final speed \( v_f \) and the final angle \( \theta_f \).
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