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A car given in Figure 1 has a mass of 1500 kg. It starts moving from rest with an accelera- tion of a, = (0.5t) m/s2, where t is given as time in seconds. It accelerates for 15 seconds, and then it travels for 30 seconds at constant speed. Then, suddenly the driver of the car sees a wall, and starts breaking with constant acceleration of a2 = -4 m/s² for 8 seconds. Unfortunately, the car hits the wall. a) Draw a – t, v -t and s-t graphs for the car until it collides with wall, and calculate the speed (Vimpact) that the car hits the wall. Clearly indicate your calculation steps. b) The front bumper of the car can be is modelled as a simple linear spring with constant k, as shown in Figure 1. Using the impact speed, vimpact, that you found in the first part of the question above, find the value of k necessary to stop the car when the bumper is compressed 15 ст. Note: Neglect the size, and shape of the car, and model the car as a particle. Iwww Figure 1: Car hitting a wall

A car given in Figure 1 has a mass of 1500 kg. It starts moving from rest with an accelera- tion of a, = (0.5t) m/s2, where t is given as time in seconds. It accelerates for 15 seconds, and then it travels for 30 seconds at constant speed. Then, suddenly the driver of the car sees a wall, and starts breaking with constant acceleration of a2 = -4 m/s² for 8 seconds. Unfortunately, the car hits the wall. a) Draw a – t, v -t and s-t graphs for the car until it collides with wall, and calculate the speed (Vimpact) that the car hits the wall. Clearly indicate your calculation steps. b) The front bumper of the car can be is modelled as a simple linear spring with constant k, as shown in Figure 1. Using the impact speed, vimpact, that you found in the first part of the question above, find the value of k necessary to stop the car when the bumper is compressed 15 ст. Note: Neglect the size, and shape of the car, and model the car as a particle. Iwww Figure 1: Car hitting a wall

College Physics
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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A car given in Figure 1 has a mass of 1500 kg. It starts moving from rest with an accelera- tion of a, = (0.5t) m/s², where t is given as time in seconds. It accelerates for 15 seconds, and then it travels for 30 seconds at constant speed. Then, suddenly the driver of the car sees a wall, and starts breaking with constant acceleration of az = -4 m/s² for 8 seconds. Unfortunately, the car hits the wall. a) Draw a – t, v –t and s – t graphs for the car until it collides with wall, and calculate the speed (Vimpact) that the car hits the wall. Clearly indicate your calculation steps. b) The front bumper of the car can be is modelled as a simple linear spring with constant k, as shown in Figure 1. Using the impact speed, vimpact, that you found in the first part of the question above, find the value of k necessary to stop the car when the bumper is compressed 15 ст. Note: Neglect the size, and shape of the car, and model the car as a particle. Iwww Figure 1: Car hitting a wall
Transcribed Image Text:A car given in Figure 1 has a mass of 1500 kg. It starts moving from rest with an accelera- tion of a, = (0.5t) m/s², where t is given as time in seconds. It accelerates for 15 seconds, and then it travels for 30 seconds at constant speed. Then, suddenly the driver of the car sees a wall, and starts breaking with constant acceleration of az = -4 m/s² for 8 seconds. Unfortunately, the car hits the wall. a) Draw a – t, v –t and s – t graphs for the car until it collides with wall, and calculate the speed (Vimpact) that the car hits the wall. Clearly indicate your calculation steps. b) The front bumper of the car can be is modelled as a simple linear spring with constant k, as shown in Figure 1. Using the impact speed, vimpact, that you found in the first part of the question above, find the value of k necessary to stop the car when the bumper is compressed 15 ст. Note: Neglect the size, and shape of the car, and model the car as a particle. Iwww Figure 1: Car hitting a wall
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