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14 February, 06:28

A solid cylinder of mass 7 kg and radius 0.9 m starts from rest at the top of a 20º incline. It is released and rolls without slipping to the bottom of the incline. Assume g = 9.81 m/s2. If the difference in height between the top of the incline and the bottom is 2.3 m, the total energy of the cylinder at the bottom is:

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  1. 14 February, 06:40
    0
    157.8 J

    Explanation:

    m = mass of the cylinder = 7 kg

    h = height difference in top and bottom of the incline = 2.3 m

    g = acceleration due to gravity = 9.8 m/s²

    TE = Total Energy at the bottom

    PE = Gravitational potential energy at the top

    Using conservation of energy

    Total Energy at the bottom = Gravitational potential energy at the top

    TE = PE

    TE = m g h

    TE = (7) (9.8) (2.3)

    TE = 157.8 J
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