4. A truck has four times the mass of a car and is moving with twice the speed of the car. If KE, and KE, refer to the kinetic energie

Question

4. A truck has four times the mass of a car and is moving with twice the speed of the car.
If KE, and KE, refer to the kinetic energies of truck and car respectively, it is correct to say
that: (KE = 72 my?)

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Thu Nguyệt 3 years 2021-08-04T05:13:54+00:00 1 Answers 123 views 0

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    2021-08-04T05:15:15+00:00

    Answer:

    Relation between kinetic energy of truck and kinetic energy of car is given as

    K_t = 16 K_c

    Explanation:

    As we know that mass of truck is four times the mass of car

    m_t = 4 m_c

    and the speed of truck is double that of speed of car

    v_t = 2v_c

    now we have kinetic energy of the truck is given as

    K_t = \frac{1}{2}m_t v_t^2

    similarly kinetic energy of car is given as

    K_c = \frac{1}{2}m_cv_c^2

    now from above two equations we have

    \frac{K_t}{K_c} = \frac{\frac{1}{2}m_tv_t^2}{\frac{1}{2}m_cv_c^2}

    \frac{K_t}{K_c} = 4(4) = 16

    so we have

    K_t = 16 K_c

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