A car (mass = 1160 kg) is traveling at 28.5 m/s when it collides head-on with a sport utility vehicle (mass = 2410 kg) traveling in the opposite direction. In the collision, the two vehicles come to a halt. At what speed was the sport utility vehicle traveling? Vo, SUV Vo, car Before collision After collision Number Units

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Chapter1: Units, Trigonometry. And Vectors
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### Chapter 07, Problem 32

A car (mass = 1160 kg) is traveling at 28.5 m/s when it collides head-on with a sport utility vehicle (mass = 2410 kg) traveling in the opposite direction. In the collision, the two vehicles come to a halt. At what speed was the sport utility vehicle traveling?

#### Diagram Explanation
The problem includes two diagrams representing the situation before and after the collision.

1. **Before collision:**
   - The diagram shows a car and a sport utility vehicle heading towards each other.
   - The car's initial velocity (\(v_0, \text{car}\)) is specified as 28.5 m/s.
   - The sport utility vehicle's initial velocity (\(v_0, \text{SUV}\)) is to be determined.
   - Red arrows indicate the direction of the vehicles: the car is moving to the right and the SUV is moving to the left.

2. **After collision:**
   - The diagram shows both vehicles coming to a halt after the collision.
   - Both vehicles are depicted as stationary with some emitted smoke, indicating that they have stopped moving.

#### Problem Requirement
Provide the initial speed of the sport utility vehicle in the space provided. 

| Number | Units |
| ------ | ----- |
|        |       |

*the tolerance is +/-2%*

**Click if you would like to Show Work for this question:**  
[Open Show Work](#)

---

This content should give students a clear understanding of the situation described in the problem, allowing them to approach solving the problem methodically.
Transcribed Image Text:### Chapter 07, Problem 32 A car (mass = 1160 kg) is traveling at 28.5 m/s when it collides head-on with a sport utility vehicle (mass = 2410 kg) traveling in the opposite direction. In the collision, the two vehicles come to a halt. At what speed was the sport utility vehicle traveling? #### Diagram Explanation The problem includes two diagrams representing the situation before and after the collision. 1. **Before collision:** - The diagram shows a car and a sport utility vehicle heading towards each other. - The car's initial velocity (\(v_0, \text{car}\)) is specified as 28.5 m/s. - The sport utility vehicle's initial velocity (\(v_0, \text{SUV}\)) is to be determined. - Red arrows indicate the direction of the vehicles: the car is moving to the right and the SUV is moving to the left. 2. **After collision:** - The diagram shows both vehicles coming to a halt after the collision. - Both vehicles are depicted as stationary with some emitted smoke, indicating that they have stopped moving. #### Problem Requirement Provide the initial speed of the sport utility vehicle in the space provided. | Number | Units | | ------ | ----- | | | | *the tolerance is +/-2%* **Click if you would like to Show Work for this question:** [Open Show Work](#) --- This content should give students a clear understanding of the situation described in the problem, allowing them to approach solving the problem methodically.
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