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A mass m is attached to a spring with spring constant k, as shown in the figure below.

The mass is pulled to the right a distance of 0.2 m and released. Rank the following spring–mass combinations according to their oscillation periods from longest to shortest. If any combinations have the same period, give them the same rank. You should assume that there is no friction between the mass and the horizontal surface. (Use only ">" or "=" symbols. Do not include any parentheses around the letters or symbols.)

k = 0.4 N/m; m = 0.10 kg

k = 0.4 N/m; m = 0.20 kg

k = 0.4 N/m; m = 0.40 kg

k = 0.8 N/m; m = 0.10 kg

k = 0.8 N/m; m = 0.20 kg

 Feb 1, 2021
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The stiffer the spring is, the smaller the period T. The greater the mass of the object is, the greater the period T.

 

So period   T ∝ mass / k

.1/.4 = .25

.2/.4 = .5

.4/.4 = 1

.1/.8 = .125

.2/.8 = .25                  You c an now rank them accordingly.....   shortest = .125

 Feb 1, 2021

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