A train has a mass of 100000 kilograms.if its kinetic energy is 3mj what velocity is it travelling at​

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A train has a mass of 100000 kilograms.if its kinetic energy is 3mj what velocity is it travelling at​

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Ngọc Hoa 5 years 2021-08-31T16:14:48+00:00 1 Answers 12 views 0

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  1. Farah
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    2021-08-31T16:16:41+00:00
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    Answer:

    V = 7.75 meters per seconds.

    Explanation:

    Given the following data;

    Mass = 100000 Kilograms

    Kinetic energy = 3 Megajoules = 3 * 10⁶ Joules

    To find the velocity of the train;

    Kinetic energy can be defined as an energy possessed by an object or body due to its motion.

    Mathematically, kinetic energy is given by the formula;

    K.E = \frac{1}{2}MV^{2}

    Where;

    K.E represents kinetic energy measured in Joules.

    M represents mass measured in kilograms.

    V represents velocity measured in metres per seconds square.

    Substituting into the formula, we have;

    3000000 = \frac{1}{2}*100000*V^{2}

    Cross-multiplying, we have;

    6000000 = 100000V^{2}

    V^{2} = \frac{6000000}{100000}

    V^{2} = 60

    Taking the square root of both sides, we have;

    V = \sqrt {60}

    V = 7.75 m/s

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