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6 October, 11:39

How does a car's kinetic energy change when it speeds up from 10 to 20 m/s? a. It quadruples. b. It stays the same. c. It doubles. d. It triples.

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  1. 6 October, 12:32
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    Answer: It quadruples (a)

    Explanation:

    Kinetic energy is energy due to virtue of motion of a body. For a body in motion, it must possesses velocity.

    Kinetic energy = 1/2MV²

    M is mass of the body

    V is the velocity

    If the initial velocity of the body is 10m/s

    K. E = 1/2 * 100M1 ... 1

    K. E = 50M1

    For the velocity of the body @ 20m/s

    K. E = 1/2 * 400M2 ... 2

    K. E = 200M2

    Equating the values of both KE in 1 and 2 we have;

    50M1 = 200M2

    M1 = 4M2

    M1/M2 = 4

    This shows that the car's kinetic energy quadruples) a)
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