A1 115.0 kg car traveling initially with a speed of 25.000 m/s in an easterly direction crashes into the back of a 10 000.0 kg truck moving in the same direction at 20.000 m/s. The velocity of the car right after the collision is 18.000 m/s to the east. Before After (a) What is the velocity of the truck right after the collision? (Give your answer to five significant figures.) 20.3 v m/s east (b) What is the change in mechanical energy of the car-truck system in the collision? Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. J (c) Account for this change in mechanical energy.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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### Collision Analysis: Car and Truck System

**Scenario Overview:**
A collision scenario involves a 115.0 kg car traveling east with an initial speed of 25.000 m/s colliding with a 10,000.0 kg truck moving in the same direction at 20.000 m/s. After the collision, the car's velocity is 18.000 m/s east.

**Diagram Explanation:**
- **Before Collision:** The diagram shows two separate vehicles. The car, on the left, is moving faster than the truck, on the right.
- **After Collision:** Both vehicles are closer, indicating an interaction. The car’s speed decreases, and the truck's speed changes.

**Questions and Solutions:**

**(a) Determine the Truck's Velocity Post-Collision:**
- **Given Answer:** 20.3 m/s east

**(b) Calculate the Change in Mechanical Energy of the System:**
- It is implied that the initial calculation was incorrect, as indicated by the response: "Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully."

**(c) Justify the Change in Mechanical Energy:**
- Explanation required for energy conservation and transformations involved during the collision. The explanation box is currently unfilled.

**Note:** Responses that require further calculation or reasoning should ensure correct application of momentum and energy conservation principles.
Transcribed Image Text:### Collision Analysis: Car and Truck System **Scenario Overview:** A collision scenario involves a 115.0 kg car traveling east with an initial speed of 25.000 m/s colliding with a 10,000.0 kg truck moving in the same direction at 20.000 m/s. After the collision, the car's velocity is 18.000 m/s east. **Diagram Explanation:** - **Before Collision:** The diagram shows two separate vehicles. The car, on the left, is moving faster than the truck, on the right. - **After Collision:** Both vehicles are closer, indicating an interaction. The car’s speed decreases, and the truck's speed changes. **Questions and Solutions:** **(a) Determine the Truck's Velocity Post-Collision:** - **Given Answer:** 20.3 m/s east **(b) Calculate the Change in Mechanical Energy of the System:** - It is implied that the initial calculation was incorrect, as indicated by the response: "Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully." **(c) Justify the Change in Mechanical Energy:** - Explanation required for energy conservation and transformations involved during the collision. The explanation box is currently unfilled. **Note:** Responses that require further calculation or reasoning should ensure correct application of momentum and energy conservation principles.
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