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11 August, 16:27

The brakes of a 125 kg sled are applied while it is moving at 8.1 m/s, which exerts a force of 261 N to slow the sled down. How far does the sled travel while coming to a stop in meters? Round to one decimal place.

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  1. 11 August, 19:24
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    15.7 m

    Explanation:

    m = mass of the sled = 125 kg

    v₀ = initial speed of the sled = 8.1 m/s

    v = final speed of sled = 0 m/s

    F = force applied by the brakes in opposite direction of motion = 261

    d = stopping distance for the sled

    Using work-change in kinetic energy theorem

    - F d = (0.5) m (v² - v₀²)

    - (261) d = (0.5) (125) (0² - 8.1²)

    d = 15.7 m
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