a) A force of 5 N is required to compress anindustrial spring by 0.0001 m, how m

Question

a)   A force of 5 N is required to compress anindustrial spring by 0.0001 m, how much force is required tocompress this spring by 0.0003 m? b)   An object oscillates from a masslessvertical spring with a frequency of 4.00 Hz. Hanging at restfrom this spring, how much would the object stretch thespring? a)   A force of 5 N is required to compress anindustrial spring by 0.0001 m, how much force is required tocompress this spring by 0.0003 m? b)   An object oscillates from a masslessvertical spring with a frequency of 4.00 Hz. Hanging at restfrom this spring, how much would the object stretch thespring?

Explanation / Answer

(a)       we use    F = k x    as k is same in both the cases    F is proportional to x or    F / x = constant    F1 / x1 =F2 / x2    F1 = 5 N    x1 = 0.0001 m    F2 = .......... N    x2 = 0.0003 m (b)    f = 4.00 Hz    F = k x       = m g    2 f = (k / m)            =(m g / m x)            =(g / x)    solve for x    F1 = 5 N    x1 = 0.0001 m    F2 = .......... N    x2 = 0.0003 m (b)    f = 4.00 Hz    F = k x       = m g    2 f = (k / m)            =(m g / m x)            =(g / x)    solve for x

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