A 150 kg person stands on a compression spring with spring constant 10000 n/m and nominal length of 0.50 what is the total length

The total length is 0.65m.

Explanation:

The total length of the spring is equal to its length right now (0.50 m ) plus the amount by which it is compressed due to weight of the man:

The spring compression is given by Hooke's law:

which in our case gives

solving for we get:

putting in and we get:

Hence, the total length of the spring is

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he kicked it 10 feet straight up into the air? i think this works.