PLEASE HELP <3 what is the mass of mr. thomson’s prius if his kinetic energy is 641300 J when he is driving at a velocity of

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PLEASE HELP <3

what is the mass of mr. thomson’s prius if his kinetic energy is 641300 J when he is driving at a velocity of 22 meters per second on the highway? please show work

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Thanh Thu 1 year 2021-09-03T17:28:54+00:00 1 Answers 0 views 0

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    2021-09-03T17:30:47+00:00

    Answer:

    The mass of Mr. Thomson’s prius is 2650 kg.

    Explanation:

    We are given with, the kinetic energy of  Mr. Thomson’s prius is 641300 J

    He is moving with a velocity of 22 m/s

    It is required to find the mass of Mr. Thomson’s prius.

    Due to his motion, a kinetic energy will possess by him. The mathematical form of kinetic energy is given by :

    [tex]K=\dfrac{1}{2}mv^2[/tex]

    Solving for m

    [tex]m=\dfrac{2K}{v^2}[/tex]

    Plugging all the values, we get :

    [tex]m=\dfrac{2K}{v^2}\\\\m=\dfrac{2\times 641300}{(22)^2}\\\\m=2650\ kg[/tex]

    So, the mass of Mr. Thomson’s prius is 2650 kg.

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