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13 July, 14:44

Suppose that a box is accelerating at a rate of 4 m/s2. If the net force is tripled and the mass is doubled, then what is the new acceleration of the box?

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Answers (2)
  1. 13 July, 16:26
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    Answer: 6m/s2

    Explanation: Recall, F = ma

    a = F/m

    Where a = 4m/s2

    So, 4 = F/m ... equation (1)

    Now we shall see the value of a where 3F and 2m

    Thus,

    a = F/m

    a = 3F/2m

    a = 3/2 * F/m ... equation (2)

    Now, substitute equation 1 into 2

    F/m = 4

    a = 3/2 * 4

    a = 12/2

    a = 6m/s2
  2. 13 July, 18:14
    0
    The new acceleration of the box = 6 m/s²

    That is, 1.5 of the old acceleration.

    Explanation:

    Acceleration of the box = 4 m/s²

    From Newton's law, F = ma

    F = 4m (eqn 1)

    Then the force is tripled, that is, New force, F₁ = 3F

    the mass is doubled, New mass, m₁ = 2m

    This will produce new acceleration, a₁

    Still consistent with Newton's law

    New force = New mass * New acceleration

    F₁ = m₁ * a₁

    3F = 2m * a₁

    a₁ = 3F / (2m)

    But from eqn 1

    F = 4m

    a₁ = 3 (4m) / 2m = 3*4/2 = 6 m/s²

    Hence the new acceleration = 6 m/s²
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