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**1. Homework Statement**

The left side of the figure shows a light (`massless') spring of length 0.340 m in its relaxed position. It is compressed to 67.0 percent of its relaxed length, and a mass M= 0.250 kg is placed on top and released from rest (shown on the right).

The mass then travels vertically and it takes 1.50 s for the mass to reach the top of its trajectory. Calculate the spring constant, in N/m. (Use g=9.81 m/s2). Assume that the time required for the spring to reach its full extension is negligible.

The left side of the figure shows a light (`massless') spring of length 0.340 m in its relaxed position. It is compressed to 67.0 percent of its relaxed length, and a mass M= 0.250 kg is placed on top and released from rest (shown on the right).

The mass then travels vertically and it takes 1.50 s for the mass to reach the top of its trajectory. Calculate the spring constant, in N/m. (Use g=9.81 m/s2). Assume that the time required for the spring to reach its full extension is negligible.

**2. Homework Equations**

E

K=-0.5mv

E

_{K}=1/2mv^{2}=1/2 * 0.25 * V^{2}K=-0.5mv

^{2}/x**3. The Attempt at a Solution**

-0.5mv

v=14.715

x=11.22

m=0.250

I plugged in the variables, but it still isn't right.

-0.5mv

^{2}/xv=14.715

x=11.22

m=0.250

I plugged in the variables, but it still isn't right.

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