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 resp

Question

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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Xavia 7 months 2021-07-20T03:18:16+00:00 1 Answers 2 views 0

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  1. Philomena
    0
    2021-07-20T03:19:48+00:00
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    Answer:

    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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