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20 March, 13:20

The distance required for a car to come to a stop will vary depending on how fast the car is moving. Suppose that a certain car traveling down the road at a speed of 20 m / s 20 m/s can come to a complete stop within a distance of 80 m 80 m. Assuming the road conditions remain the same, what would be the stopping distance required for the same car if it were moving at speeds of 10 m / s 10 m/s, 40 m / s 40 m/s, or 5 m / s 5 m/s?

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  1. 20 March, 13:40
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    If F be the force acting on the car to stop it

    work done by force = change in kinetic energy

    F X 80 = 1/2 m x 20²

    F = 2.5 m

    If speed is 10m/s

    for distance d, the equation is

    F x d = 1/2 x m x 10²

    2.5 m x d = 1/2 x m x 10²

    d = 20 m

    If velocity is 40 m / s

    F x d = 1/2 x m x 40²

    2.5m x d = 1/2 m x 1600

    d = 320 m

    For v = 5 m/s

    F x d = 1/2 m x 5²

    2.5 m x d = 1/2 m x 5²

    d = 5 m.
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