A net force of 18 N is exerted on a book which accelerates at 8m/s² determine the mass of book

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A net force of 18 N is exerted on a book which accelerates at 8m/s² determine the mass of book

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Edana Edana 4 years 2021-07-27T02:07:07+00:00 1 Answers 1 views 0

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  1. thienhuong
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    2021-07-27T02:09:02+00:00
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    Answer:

    2.25 kg

    Explanation:

    Force can be found using the following formula.

    f=m*a

    Rearrange the formula for m, mass, by dividing both sides of the formula by a.

    \frac{f}{a}=\frac{m*a}{a}

    \frac{f}{a}=m

    The mass can be found by dividing the force by the acceleration. The force is 18 Newtons. 1 Newton is equal to 1 kg m/s², so 18 Newtons is equal to 18  kg m/s². The acceleration is 8 m/s².

    f= 18 kgm/s^2\\a=8 m/s^2

    Substitute the values into the formula.

    m=\frac{f}{a}

    m=\frac{18 kg m/s^2}{8m/s^2 }

    Divide. Note that the kg m/s² in the numerator and denominator will cancel each other out.

    m=\frac{18kg}{8}

    m= 2.25kg

    The mass of the book is 2.25 kilograms.

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