Algebra

Suppose that a constant force is applied to an object. Newton's Second Law of Motion states that the acceleration of the object varies inversely with its mass. A constant force acting upon an object with mass 12 kg produces an acceleration of 2m/s^2. The acceleration of another object produced by the same force is 3m/s^2. What is the mass of this object?

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  1. a = k/m^2 , where k is constant
    given: when a=2 m/s^2, m = 12 kg
    2 = k/12^2
    k = 288

    a = 288/m^2
    so when a = 3
    3 = 288/m^2
    3m^2 = 288
    m^2 = 96
    m= appr 9.8

    the mass is appr 9.8 Kg

    or , just use a ratio

    2/3 = m^2/12^2
    3m^2 = 288
    etc, same as above

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  2. Thank you!

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  3. welcome

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