The left end of a spring is attached to a wall. When Bob pulls on the right end with a 200 N force, he stretches the spring by 20 cm. The sa

Question

The left end of a spring is attached to a wall. When Bob pulls on the right end with a 200 N force, he stretches the spring by 20 cm. The same spring is then used for a tug-of-war between Bob and Carlos. Each pulls on his end of the spring with a 200 N force. How far does the spring stretch

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niczorrrr 3 years 2021-09-03T08:48:42+00:00 1 Answers 2 views 0

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  1. Latifah
    0
    2021-09-03T08:50:02+00:00
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    Answer:

    40 cm

    Explanation:

    Since Bob pulls with a force of F = 200 N when the spring is attached to the wall and it extends a length x = 20 cm, from Hooke’s law,

    F = kx where k = spring constant

    So, k = F/x = 200 N/20 cm = 10 N/cm

    Now, sine both Bob and Carlos pull with a force of F = 200 N in opposite directions, the spring stretches about its center and has an extension, x’ in each direction.

    So, from F = kx

    x = F/k = 200 N/10 N/cm = 20 cm

    So, the spring stretches 20 cm in both directions.

    So, the total extension is thus x’ + x’ = 2x’ = 2(20 cm) = 40 cm

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