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13 December, 10:55

A block of mass 5.0 kg is released from rest at the top of a ramp. The ramp has a height of 90 cm and is at an angle of 30 degrees with respect to the horizontal. When the block reaches the bottom, it has a speed of 2.7 m/s. How much energy was lost from friction

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  1. 13 December, 12:40
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    Energy lost to friction is 3847.5 joules

    Explanation:

    Initial energy = Mgh

    Initial energy = 5000*9.81 * (90/100)

    Initial energy = 44145 joules.

    Final energy is kinectic plus mechanical energy.

    Kinectic = 1/2 * m * v²

    Kinectic = 1/2 * 5000 * 2.7²

    Kinetic energy = 18225 joules.

    Mechanical energy = mghsin (tita)

    Mechanical energy = 44145*sin30

    Mechanical energy = 22072.5

    Final energy is kinectic plus mechanical energy.

    = 18225 + 22072.5

    = 40297.5 joules.

    Energy lost to friction is initial - final

    =44145 joules - 402957.5

    = 3847.5 joules
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