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7 October, 16:31

A 1180kg car is moving at a speed of 85.5 km/h. Find the force needed to bring the car to rest in a distance of 300m

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  1. 7 October, 19:32
    0
    1110 N

    Explanation:

    First, find the acceleration.

    Given:

    Δx = 300 m

    v₀ = 85.5 km/h = 23.75 m/s

    v = 0 m/s

    Find: a

    v² = v₀² + 2aΔx

    (0 m/s) ² = (23.75 m/s) ² + 2a (300 m)

    a = - 0.94 m/s²

    Find the force:

    F = ma

    F = (1180 kg) (-0.94 m/s²)

    F = - 1110 N

    The magnitude of the force is 1110 N.
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