2)A 1300-kg sports car initially has a velocity of 35.2 m/s due south. The driver slams the brakes to stop over a 190 m distance. a) What is the magnitude of tihe car's acceleration, in m/s? ? 1300k aニー 36.13 m/ş? %3D 35.2 e/s b) What average net force magnitude was necessary to stop the car? 1300 (35.2m/3)². Fnet = ニ4,29N 2(190 m) c) Assuming the tires do not skid, what coefficient of static firiction between the tires and pavement is meeded? = xN =36.93m/2)(4.24 N) -15C. 5N %3D

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Solve #2, includes: a, b, and c.

### Physics Problem: Car Braking

A 1300-kg sports car initially has a velocity of 35.2 m/s due south. The driver slams the brakes to stop over a 190 m distance.

**a) What is the magnitude of the car’s acceleration, in m/s²?**

\[ a = \frac{1300 \times 35.2^2}{2 \times 190} = 36.73 \, \text{m/s}^2 \]

**b) What average net force magnitude was necessary to stop the car?**

\[ F_{\text{net}} = \frac{1300 \times (35.2)^2}{2(190)} = 4.24 \, \text{N} \]

**c) Assuming the tires do not skid, what coefficient of static friction between the tires and pavement is needed?**

\[ f_s = \alpha \times N \]

\[ = \frac{(36.93 \, \text{m/s}^2)(4.24 \, \text{N})}{156.58 \, \text{N}} \]

The equations show the steps taken to solve for acceleration, force, and friction, with values substituted for the given problem scenario.
Transcribed Image Text:### Physics Problem: Car Braking A 1300-kg sports car initially has a velocity of 35.2 m/s due south. The driver slams the brakes to stop over a 190 m distance. **a) What is the magnitude of the car’s acceleration, in m/s²?** \[ a = \frac{1300 \times 35.2^2}{2 \times 190} = 36.73 \, \text{m/s}^2 \] **b) What average net force magnitude was necessary to stop the car?** \[ F_{\text{net}} = \frac{1300 \times (35.2)^2}{2(190)} = 4.24 \, \text{N} \] **c) Assuming the tires do not skid, what coefficient of static friction between the tires and pavement is needed?** \[ f_s = \alpha \times N \] \[ = \frac{(36.93 \, \text{m/s}^2)(4.24 \, \text{N})}{156.58 \, \text{N}} \] The equations show the steps taken to solve for acceleration, force, and friction, with values substituted for the given problem scenario.
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