### Physics Problem: Car Braking Analysis#### Problem Statement:The brakes on a 17,600 N car exert a stopping force of 650 N. The car's velocity changes from 25.0 m/s to 0 m/s.**Questions:**a) What is the car’s mass?b) What was its initial momentum?c) What was the change in momentum for the car?d) How long does it take the braking force to bring the car to rest?#### Solution Steps:1. **Finding the Car’s Mass:** Given: - Weight (W) = 17,600 N - Acceleration due to gravity (g) ≈ 9.8 m/s² Using the formula for weight: \[ W = m \cdot g \] Therefore: \[ m = \frac{W}{g} = \frac{17,600 \text{ N}}{9.8 \text{ m/s}^2} = 1795.92 \text{ kg} \]2. **Calculating the Initial Momentum:** Given: - Initial velocity (v) = 25.0 m/s Using the momentum formula: \[ p = m \cdot v \] Therefore: \[ p = 1795.92 \text{ kg} \cdot 25.0 \text{ m/s} = 44,898 \text{ kg m/s} \]3. **Determining the Change in Momentum:** The car stops, hence the final velocity is 0 m/s. Thus, the change in momentum (\( \Delta p \)) is: \[ \Delta p = p_{\text{final}} - p_{\text{initial}} = 0 \text{ kg m/s} - 44,898 \text{ kg m/s} = -44,898 \text{ kg m/s} \]4. **Calculating the Time to Come to Rest:** Using Newton's second law: \[ F = \Delta p / \Delta t \] Rearrange to solve for time (\( \Delta t \)): \[ \Delta t = \frac{\Delta p}{F} \] Substitute the values:

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Description: ### Physics Problem: Car Braking Analysis#### Problem Statement:The brakes on a 17,600 N car exert a stopping force of 650 N. The car's velocity changes from 25.0 m/s to 0 m/s.**Questions:**a) What is the car’s mass?b) What was its initial momentum?

weight of car = 17600 N stopping force = 650 N initial velocity = 25 m/s final velocity = 0 m/s

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2. The brakes on a 17,600 N car exert a stopping force of 650. N. The car's velocity changes from 25.0 m/s to 0 m/s. a) What is the car's mass? b) What was its initial momentum? c) What was the change in momentum for the car? d) How long does it take the braking force to bring the car to rest?

2. The brakes on a 17,600 N car exert a stopping force of 650. N. The car's velocity changes from 25.0 m/s to 0 m/s. a) What is the car's mass? b) What was its initial momentum? c) What was the change in momentum for the car? d) How long does it take the braking force to bring the car to rest?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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