3. Two asteroids collide and stick together. The first asteroid has mass of 15 × 10³ k and is initially moving at 770 m/s. The second asteroid has mass of 20 × 10³ kg an is moving at 1020 m/s. Their initial velocities made an angle of 20° with respect to each other. What is the final speed and direction with respect to the velocity of th first asteroid? How much thermal energy is generated in the collision?

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**Problem Statement: Asteroid Collision Analysis**

Two asteroids collide and stick together. The first asteroid has a mass of \(15 \times 10^3 \, \text{kg}\) and is initially moving at \(770 \, \text{m/s}\). The second asteroid has a mass of \(20 \times 10^3 \, \text{kg}\) and is moving at \(1020 \, \text{m/s}\). Their initial velocities made an angle of \(20^\circ\) with respect to each other. 

**Questions:**
1. What is the final speed and direction with respect to the velocity of the first asteroid?
2. How much thermal energy is generated in the collision?
Transcribed Image Text:**Problem Statement: Asteroid Collision Analysis** Two asteroids collide and stick together. The first asteroid has a mass of \(15 \times 10^3 \, \text{kg}\) and is initially moving at \(770 \, \text{m/s}\). The second asteroid has a mass of \(20 \times 10^3 \, \text{kg}\) and is moving at \(1020 \, \text{m/s}\). Their initial velocities made an angle of \(20^\circ\) with respect to each other. **Questions:** 1. What is the final speed and direction with respect to the velocity of the first asteroid? 2. How much thermal energy is generated in the collision?
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