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8th grade science

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Please show me how to solve this problem. A person wearing a shoulder harness can survive a car crash if the acceleration is less that -300 m/s2. How far must the front end collapse if it crashes while going 101 km/hr?
Thanks.

  • 8th grade science -

    101 km/h = 28.06 m/s

    To decelerate from velocity V in a distance X at a rate of a = 300 m/s^2,
    V = sqrt(2 a X)

    X = V^2/(2 a) = 1.3 meters

    This assumes the crash is into an immovable object, so that all deceleration is achieved by collapsing the front end. A collision with another car or a soft barrier might have a different result. This is a good approximation for a head-on collision with a similar car.

  • 8th grade science -

    i want to ask you a question

  • 8th grade science -

    how do i do this problem
    The Math Behind the Law How much force is Mike applying to the 1000 kg car to make it accelerate at a rate of .05 m/s2?

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