A hill is 132 m long and makes an angle of 12.0 degrees with the horizontal. As a 54 kg jogger runs up the hill, how much work does the Nige

Question

A hill is 132 m long and makes an angle of 12.0 degrees with the horizontal. As a 54 kg jogger runs up the hill, how much work does the Niger do against gravity

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bonexptip 4 years 2021-08-10T13:13:53+00:00 1 Answers 36 views 0

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  1. thienthi
    0
    2021-08-10T13:15:35+00:00
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    Answer:

    14523.55J

    Explanation:

    The work done by the jogger against gravity is given by the following equation;

    W=mgh.................(1)

    where m is the mass, g is acceleration due to gravity taken as 9.8m/s^2 and h is the height of the hill.

    Since the length of the hill is 132m and it is inclined at 12 degrees to the horizontal, the height is thus given as follows;

    h=132sin12^o\\h=27.44m

    Substituting this into equation (1) with all other necessary parameters, we obtain the following;

    W=54*9.8*27.44\\W=14523.55J

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