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8 February, 21:18

Two boxes (24 kg and 62 kg) are being pushed across a horizontal frictionless surface, as the drawing shows. The 33-N pushing force P→ is horizontal and is applied to the 24-kg box, which in turn pushes against the 62-kg box. Find the magnitude of the force F→ that the 24-kg box applies to the 62-kg box.

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  1. 9 February, 00:16
    0
    23.8 N

    Explanation:

    Given that

    Mass of the first box, m = 24 kg

    Mass of the second box, M = 62 kg

    Pushing force, F = 33 N

    There is an acceleration, a in between the system and another force, f in between both blocks. Thus, we can say, using Newton's law

    F - f = m. a

    f = M. a

    If we add both equations together, we have

    F = m. a + M. a

    F = (m + M) a

    33 = (24 + 62) a, making a subject of formula, we have

    a = 33 / 86

    a = 0.384 m/s²

    Recall, from the second equation,

    f = M. a, now, if we substitute for both, we get

    f = 62 * 0.384

    f = 23.8 N

    The magnitude of force the 24 kg applies to the 62 kg is 23.8 N
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