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17 September, 19:18

For a moving object, the force acting on the object varies directly with the objects acceleration. When a force of 24N acts on a certain object, the acceleration of the object is 3m/s^2. If the acceleration of the object becomes 10m/s^2, what is the force

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  1. 17 September, 19:19
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    80 N

    Explanation:

    From the question,

    F = ma ... Equation 1

    Where F = Force, m = mass of the object, a = acceleration of the object.

    make m the subject of the equation

    m = F/a ... Equation 2

    Given: F = 24 N, a = 3 m/s²

    Substitute into equation 2

    m = 24/3

    m = 8 kg.

    If the acceleration of the object becomes 10 m/s²,

    Substitute into equation 1

    F = 10 (8)

    F = 80 N.
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