Use Hooke\'s Law for this (F = - k s ): Where F is the spring\'s restoring force

Question

Use Hooke's Law for this (F = - k s ): Where F is the spring's restoring force; k is the spring constant; and s is the stretch. The negative sign means the spring's restoring force is opposite the stretch direction. You have a plot from weight [N] versus stretch [m]. The data forms a linear trend y = 3.702 * x+ 1.32. How much will the spring stretch if 54.1 grams is hung on the spring? [cm] Answer in centimeters with three significant figures or N./A if not enough information is given to answer. When you calculate your answer, don't use the negative sign in the Hooke's Law formula. Just know that the negative sign simply denotes the force direction is opposite the stretch (or compression).

Explanation / Answer

Weight = (54.1/1000)*9.81 = 0.5307 N

y = 3.702*x + 1.32

At stretch x = 0, weight = 1.32 N.

So, (1.32+0.5307) = 3.702*x + 1.32

So, x = 0.14335 m = 14.335 cm

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