You testify as an expert witness in a case involving an accident in which car A slid into the rear of car B, which was stopped at a red light along a road headed down a hill (see the figure). You find that the slope of the hill is 0 = 11.0°, that the cars were separated by distance d = 24.0 m when the driver of car A put the car into a slide (it lacked any automatic anti-brake-lock system), and that the speed of car A at the onset of braking was vo = 20.0 m/s. With what speed did car A hit car B if the coefficient of kinetic friction was (a) 0.570 (dry road surface) and (b) 0.110 (road surface covered with wet leaves)?

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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You testify as an expert witness in a case involving an accident in which car A slid into the rear of car B, which was stopped at a red light along a road headed down a hill (see the figure). You find that the slope of the hill is \(\theta = 11.0^\circ\), that the cars were separated by distance \(d = 24.0 \, \text{m}\) when the driver of car A put the car into a slide (it lacked any automatic anti-brake-lock system), and that the speed of car A at the onset of braking was \(v_0 = 20.0 \, \text{m/s}\). With what speed did car A hit car B if the coefficient of kinetic friction was (a) 0.570 (dry road surface) and (b) 0.110 (road surface covered with wet leaves)?

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**Diagram Explanation:**

The diagram shows a road inclined at an angle \(\theta\) with two cars: car A and car B. 

- Car A is moving downhill with an initial velocity \(v_0\) and is shown just before sliding into car B.
- Car B is stationary at a red light at the bottom of the hill. 
- The distance between the two cars when the slide begins is labeled as \(d\).
- The incline of the hill, the initial speed vector of car A, and the separation between the cars are visually represented. 

**Questions:**

(a) Enter the speed at which car A hit car B if the coefficient of kinetic friction was 0.570 (dry road surface).

(b) Enter the speed at which car A hit car B if the coefficient of kinetic friction was 0.110 (road surface covered with wet leaves).
Transcribed Image Text:You testify as an expert witness in a case involving an accident in which car A slid into the rear of car B, which was stopped at a red light along a road headed down a hill (see the figure). You find that the slope of the hill is \(\theta = 11.0^\circ\), that the cars were separated by distance \(d = 24.0 \, \text{m}\) when the driver of car A put the car into a slide (it lacked any automatic anti-brake-lock system), and that the speed of car A at the onset of braking was \(v_0 = 20.0 \, \text{m/s}\). With what speed did car A hit car B if the coefficient of kinetic friction was (a) 0.570 (dry road surface) and (b) 0.110 (road surface covered with wet leaves)? --- **Diagram Explanation:** The diagram shows a road inclined at an angle \(\theta\) with two cars: car A and car B. - Car A is moving downhill with an initial velocity \(v_0\) and is shown just before sliding into car B. - Car B is stationary at a red light at the bottom of the hill. - The distance between the two cars when the slide begins is labeled as \(d\). - The incline of the hill, the initial speed vector of car A, and the separation between the cars are visually represented. **Questions:** (a) Enter the speed at which car A hit car B if the coefficient of kinetic friction was 0.570 (dry road surface). (b) Enter the speed at which car A hit car B if the coefficient of kinetic friction was 0.110 (road surface covered with wet leaves).
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