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

Question

Use Hooke's Law for this (F = - k s ): Where F is the spring'srestoring force; k is the spring constant; and s is the stretch.The negative sign means the spring's restoring force is oppositethe stretch direction.
You have a plot from weight [N] versus stretch [m]. The data formsa linear trend y = 3.634 * x + 1.27. How much will the springstretch if 50 grams is hung on the spring?
[cm]
Answer in centimeters with three significant figures or N/A if notenough information is given to answer. When you calculate youransswer, don't use the negative sign in the Hooke's Law formula.Just know that the negative sign simply denotes the force directionis opposite the stretch (or compression).

Explanation / Answer

The data forms a linear trend
y = 3.634 * x + 1.27 the slope of the graph gives the spring constant of the springtherefore we get k = 3.634 N/m we know that F = -k * s or m * g = -k * s or s = (m * g/k) m = 50 grams = 50 * 10-3 kg and g = 9.8m/s2 or s = (50 * 10-3 * 9.8/3.634) = 134.8 *10-3 m = 0.1348 m = 13.48 * 10-2 m = 13.48cm

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