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I'm really having a hard time solving these two problems.

1. Objects of equal mass are oscillating up and down in simple harmonic motion on two different vertical springs. The spring constant of spring 1 is 174 N/m. The motion of the object on spring 1 has twice the amplitude as the motion of the object on spring 2. The magnitude of the maximum velocity is the same in each case. Find the spring constant of spring 2.

2. Relevant equations

the relevant equations are those for SHM. F=kx and f=-kx.

3. The attempt at a solution

I tried the formulas but I still can't find the answer. The answer is supposed to be 696N/m

2nd problem:

A small ball is attached to one end of a spring that has an unstrained length of 0.200 m. The spring is held by the other end, and the ball is whirled around in a horizontal circle at a speed of 3.00 m/s. The spring remains nearly parallel to the ground during the motion and is observed to stretch by 0.010 m. By how much would the spring stretch if it were attached to the ceiling and the ball allowed to hang straight down, motionless?

2. Relevant equations

same as the one above

3. The attempt at a solution

Again with this one, I tried solving it using the same formula but I can't figure how to use the velocity since its in m/s rather than rad/s for uniform circular motion. The answer is supposed to be 2.29 x 10^-3

Any help would be gladly appreciated

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# Homework Help: Simple Harmonic Motion and maximum velocity

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