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29 May, 10:11

a spring is compressed 15 centimeters when a 8.5 kilogram weight is set upon it. how much power would be needed to stretch out the same spring 1.5 meters horizontally in 4 seconds?

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  1. 29 May, 10:23
    0
    159.38 Watts

    Explanation:

    Initially;

    Mass on the spring is 8.5 kg Therefore, compression force is 85 N Compression distance is 15 cm or 0.15 m

    But;

    F = kx

    where F is the force of compression, k is the spring constant and x is the compression distance.

    Thus;

    k = F/x

    = 85 N : 0.15

    = 566.67 N/m

    We are required to determine the power needed to stretch the same spring for 1.5 m in 4 secs.

    Power = Work done : time

    Work done is given by 0.5kx²

    Therefore;

    Power = 0.5kx²: t

    = (0.5*566.67 N/m * 1.5²) : 4 seconds

    = 159.38 Watts

    Thus, the power needed is 159.38 watts
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