If a 5.0 kg box is pulled simultaneously by a 10.0 N force and a 5.0 N force, then its acceleration must be Group of answer choices 1.0 m/s2

Question

If a 5.0 kg box is pulled simultaneously by a 10.0 N force and a 5.0 N force, then its acceleration must be Group of answer choices 1.0 m/s2. We cannot tell from the information given. 2.2 m/s2. 3.0 m/s2.

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Farah 6 months 2021-07-28T04:48:34+00:00 1 Answers 394 views 0

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    2021-07-28T04:49:45+00:00

    Answer:

    We cannot tell from the information given

    Explanation:

    Given;

    mass of the box, m = 5 kg

    first force, F₁ = 10 N

    second force, F₂ = 5 N

    (I) Assuming the two forces are acting horizontally in opposite direction, the resultant force on the box is calculated as;

    ∑Fx = 10 N – 5 N

          = 5 N

    Apply Newton’s second law of motion;

    ∑Fx = ma

    a = ∑Fx/m

    a = 5 / 5

    a = 1 m/s² in the direction of the 10 N force.

    (II) Also, if the two forces are acting in the same direction, the resultant force is calculated as;

    ∑Fx = 10 N + 5 N

    ∑Fx = 15 N

    a = 15 / 5

    a = 3 m/s²

    Therefore, the information given is not enough to determine the acceleration of the box.

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