A 20-pound object is dropped from a 50-foot bridge onto the ground below it. A 50-pound object is dropped from a 100-foot cliff onto the gro

Question

A 20-pound object is dropped from a 50-foot bridge onto the ground below it. A 50-pound object is dropped from a 100-foot cliff onto the ground below it. Which object will hit the ground first? Support your answer with details.

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Neala 5 years 2021-08-03T23:46:26+00:00 1 Answers 57 views 0

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  1. Helga
    0
    2021-08-03T23:47:31+00:00
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    Answer:

    here 20 lb object will hit the ground first

    Explanation:

    Acceleration of the object while it is dropped in air is given as

    F = mg

    a = \frac{F}{m}

    a = g

    so acceleration of the object is independent of the mass of the object

    now time to reach the ground is given as

    h = \frac{1}{2}gt^2

    t = \sqrt{\frac{2h}{g}}

    for 20 pound object

    t_1 = \sqrt{\frac{2(50)}{32}}

    t_1 = 1.77 s

    for 50 pound object

    t_2 = \sqrt{\frac{2(100)}{32}}

    t_2 = 2.5 s

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