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7 October, 18:45

0. A 3.00-kg block is dropped from rest on a vertical spring whose spring constant is 750 N/m. The block hits the spring, compresses it, and then comes to rest, having fallen through a total vertical distance of 0.45 m. How far is the spring compressed? (Hint: Use conservation of energy.)

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  1. 7 October, 22:41
    0
    the spring compressed is 0.1878 m

    Explanation:

    Given data

    mass = 3 kg

    spring constant k = 750 N/m

    vertical distance h = 0.45

    to find out

    How far is the spring compressed

    solution

    we will apply here law of mass of conservation

    i. e

    gravitational potential energy loss = gain of eastic potential energy of spring

    so we say m*g*h = 1/2 * k * e²

    so e² = 2*m*g*h / k

    so

    we put all value here

    e² = 2*m*g*h / k

    e² = 2*3*9.81*0.45 / 750

    e² = 0.0353

    e = 0.1878 m

    so the spring compressed is 0.1878 m
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