A pendulum has a mass of 1.5 kg and starts at a height of 0.4 m if it is released from rest how fast is it going when it reaches the lowest

Question

A pendulum has a mass of 1.5 kg and starts at a height of 0.4 m if it is released from rest how fast is it going when it reaches the lowest point of its path?

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Calantha 5 years 2021-08-14T21:40:12+00:00 1 Answers 82 views 0

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  1. Dau
    0
    2021-08-14T21:42:04+00:00
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    Answer:

    The speed of the pendulum when it reaches the lowest point of its path is 2.8 m/s

    Explanation:

    Given;

    mass of pendulum, m = 1.5 kg

    height of pendulum, h = 0.4 m

    At the highest point, the velocity of the pendulum is zero and the kinetic energy  is zero, so the total energy at that point is potential energy;

    U = mgh

    At the lowest point, the height of the pendulum is zero and the potential energy is zero, so the total energy at that point is kinetic energy;

    KE = ¹/₂mv²

    Apply the principle of conservation of mechanical energy

    KE = U

    ¹/₂mv² = mgh

    ¹/₂v²  = gh

    v² = 2gh

    v = √2gh

    v = √(2 x 9.8 x 0.4)

    v = 2.8 m/s

    Therefore, the speed of the pendulum when it reaches the lowest path is 2.8 m/s

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