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10 June, 16:08

During a crash test, two identical cars crash into two different barriers. Both cars are initially traveling at the same constant velocity. Car A crashes into a solid brick wall and decelerates to v = 0.0m/s over a distance dA = 10.0cm. Car B crashes into a row of shrubs and decelerates to v = 0.0m/s over a distance dB = 10.0m. During the collision Car A experiences an average force FA and Car B experiences and average force FB. What is the ratio FA/FB?

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  1. 10 June, 16:15
    0
    FA / FB = 100

    Explanation:

    given two identical cars

    let their initial speed be U m/s

    for car 1 let it deaccelerates with a1

    0 = U² - 2*a1 * (10cm)

    a1 = U² / (2 * (0.1))

    car2 deaccelerates with a2

    0 = U² - 2*a2 * (10)

    a2 = U² / (2 * (10))

    FA = m*a1

    FB = m*a2

    FA/FB = a1 / a2

    = 10/0.1

    = 100

    FA/FB = 100
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