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A car moving at 50 km/h skids 15 m with locked brakes. Show that a car moving at 150 km/h will skid 135 m with locked brakes. (Hint: The force doing work during the skidding is the same for both speeds. Use the work–energy theorem.)

  • physics -

    work = force * distance
    = F d
    F the same for both

    work done = kinetic energy lost
    = .5 m v^2
    same m
    V2 = 3 V1
    so
    V2^2 = 9 V1^2
    so work done at 50 = (1/2)m V1^2 = F d1
    and at 150 = (1/2) m (9 V1 ^2) = F d2
    so
    d2/d1 = 9
    9 * 15 = 135

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