A 10 kg object is dropped from rest. a. How far will it drop in 2s? b. How long will it take a 5 kg object to drop the same distance?

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A 10 kg object is dropped from rest. a. How far will it drop in 2s? b. How long will it take a 5 kg object to drop the same distance?

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Eirian 3 years 2021-07-29T19:12:58+00:00 1 Answers 485 views 0

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  1. Nick
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    2021-07-29T19:14:55+00:00
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    Answer:

    Explanation:

    Using the equation of motion S = ut + 1/2at² to get the height of drop where

    u is the initial velocity of the object = 0m/s

    a is the acceleration due to gravity = +9.81m/s² (downwards motion of object)

    t is the time it takes the object to drop = 2secs

    Substituting the given parameters into the formula to get the height of drop S, we will have;

    S = 0(2)+1/2(9.81)(2)²

    S = 0+9.81*2

    S = 19.62m

    Hence the object will drop at a distance of 19.62m

    b.) To determine the time it will take a 5 kg object to drop the same distance, we will use the same formula S = ut+1/2at²

    Since the 5kg object also drops at the same distance, then S = 19.62m

    Substituting this values into the equation we will have;

    19.62 = 0(t) + 1/2(9.81)t²

    19.62 = 4.905t²

    t² = 19.62/4.905

    t² = 4

    t =2secs

    This shows that it will take 5kg object 2secs to fall from the  same distance. This means that no matter the mass of the object, it will take them the same time to fall at the same distance because they are all falling under the same influence of gravity.

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