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25 January, 02:42

A force causes a mass of 4 kg to have an acceleration of 8 m/s2. Suppose something causes the mass to be one-quarter of its original amount. What will happen to the acceleration if the amount of force used remains the same?

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  1. 25 January, 05:09
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    From Newton's second law:

    F = ma

    Given that m = 4 kg and a = 8 m/s²:

    F = (4 kg) (8 m/s²)

    F = 32 N

    If m is reduced to 1 kg and F stays at 32 N:

    32 N = (1 kg) a

    a = 32 m/s²

    So the acceleration increases by a factor of 4.
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