(adsbygoogle = window.adsbygoogle || []).push({}); A block of mass M is resting on a horizontal, frictionless table and is attached to a relaxed spring of spring constant k. A second block of mass 2M and initial speed v_{o}collides with and sticks to the first block. Develop expressions for the following quantities in terms of M, k, and Vo.

a) v, the speed of the blocks immediately after impact

b) x, the maximum distance the spring is compressed

c) T, the period of the subsequent simple harmonic motion

m_{1}v_{1}+m_{2}v_{2}=m_{1}v_{1}'+m_{2}v_{2}'

EPE=.5kx^{2}

KE = .5mv^{2}

T = 2pi*sqrt(m/k)

I'm only having trouble with part b. I knew to use conservation of momentum for a and get 2/3v_{o}. c was easy as you could just use the last equation and plug in 3M and k. But for b I'm not sure if i'm doing it right. What i'm doing it plugging in 3M and 2/3v_{o}to solve for the initial KE and setting it equal to .5kx^{2}to get x. Is this right?

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# 1983 Exam Question w/SHM and conservation of momentum

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