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11 March, 05:03

A 3.0-kg and a 5.0-kg box rest side-by-side on a perfectly smooth, level floor. A horizontal force of 32 N is applied to the 3.0-kg box pushing it against the 5.0-kg box, and, as a result, both boxes slide along the floor. How hard do the two boxes push against each other?

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  1. 11 March, 07:03
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    12 N against each other

    Explanation:

    Step 1: calculate the common acceleration of the two boxes when they join together

    F = ma; m = (3 + 5) kg and F = 32N

    a = F/m

    a = 32/8 = 4 m/s²

    Step 2: calculate the impact force of 3 kg box on 5 kg box

    F = ma

    F = 3 X 4 = 12N

    Step 3: Calculate the force of 5kg box when it accelerate on 4 m/s²

    F = ma

    F = 5 X 4 = 20 N

    Step 4: calculate the opposing force of 5kg box

    F = 32N - 20N = 12N

    Therefore, each box exerts a force of 12N to the other in opposite direction.

    Newton's third law of motion, "action and reaction are equal and opposite"
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