A watermelon is dropped off of a 50 ft bridge, and it explodes upon impact with the ground. How fast was it traveling in mph upon impact?

Question

A watermelon is dropped off of a 50 ft bridge, and it explodes upon impact with the ground. How fast was it traveling in mph upon impact?

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niczorrrr 4 years 2021-08-24T02:55:54+00:00 1 Answers 126 views 0

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  1. Maris
    0
    2021-08-24T02:56:55+00:00
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    Answer: 56.72 ft/s

    Explanation:

    Ok, initially we only have potential energy, that is equal to:

    U =m*g*h

    where g is the gravitational acceleration, m the mass and h the height.

    h = 50ft and g = 32.17 ft/s^2

    when the watermelon is near the ground, all the potential energy is transformed into kinetic energy, and the kinetic energy can be written as:

    K = (1/2)*m*v^2

    where v is the velocity.

    Then we have:

    K = U

    m*g*h = (m/2)*v^2

    we solve it for v.

    v = √(2g*h) = √(2*32.17*50) ft/s = 56.72 ft/s

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