Coil springs are widely used in industry. Those used in scientific instruments must be manufactured to exhibit consistent performance. One important property of a spring is its force constant. The quality control manager of a coil spring manufacturer is examining a coil spring made by her company that compresses 0.0510 m0.0510 m when a mass of 175 kg175 kg is placed on it. Calculate the force constant?.

Question

Physics

Cook

27 June, 23:31

Coil springs are widely used in industry. Those used in scientific instruments must be manufactured to exhibit consistent performance. One important property of a spring is its force constant. The quality control manager of a coil spring manufacturer is examining a coil spring made by her company that compresses 0.0510 m0.0510 m when a mass of 175 kg175 kg is placed on it. Calculate the force constant?.

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Damarion Fernandez · Answer 1

33627.4 N/m

Explanation:

By Hook's law F = k x

where F = force applied

K = Spring constant

x = distance it compresses.

Since the force applied in this case will be the weight of the object that causes it to compress, so, the weight will be (175 * 9.8) = 1715N force which causes a compression (x) of 0.0510m.

So,

F = K x

K = F / x

K = 1715 / 0.0510

K = 33627N/m