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14 July, 03:50

A skateboard with a mass of 4 kg is moving at a speed of 10 meters per second on a level surface. It encounters a hill and rolls up until it stops. Ignoring friction, to what vertical height does it rise (in meters) ?

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  1. 14 July, 05:57
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    vertical height = 5.1 meters

    Explanation:

    M = 4 kg

    V = 10 m/s^2

    Based on the law of conservation of energy, energy can be converted from one form to energy.

    Calculate the kinetic energy of the skateboard.

    Kinetic energy = 1/2 * (MV^2)

    K. E = 1/2 * (4 * 10^2)

    K. E 0.5 * 400

    K. E = 200 Joules

    According to conservation of energy, Kinetic Energy = Potential Energy = 20 joules

    P. E = Mgh

    200 = 4 * 9.8 * h

    h = 200 / 39.2

    h = 5.1 meters
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