(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A block of mass 2.5 kg rests on a frictionless floor. It is attached to a spring with a relaxed length L = 3 m. The spring has spring constant k = 16 N/m and is relaxed when hanging vertically. The block is in a relaxed position and is given a push and has an initial speed of 16.884 m/s. (Determined from previous problem.) How far does the block travel before it stops? (For this problem, the block never leaves the floor.)

2. Relevant equations

Work done by a spring = 1/2 KX^2

K = 1/2 MV^2

3. The attempt at a solution

Initial Kinetic energy = 1/2 2.5 16.884^2

Initial K =356.337

356.337 = 1/2 16 X^2

356.337 = 8 X^2

44.54 = X^2

6.674 = X

Wrong.

Is there some way to incorporate sine into this equation? I'm not sure how to do that, since the angle between the spring and the table is changing...

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# Distance Spring Stretches

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