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Constants Part A problem into Find the maximum distance that the block will compress ↑ after the colision- spring after the a

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Answer #1

Conserving momentum:

m1u1+m2u2 = m1v1 + m2v2

15(0) + 3*8 = 15v + 3*(-2)

v = 2 m/s

Now the initial velocity of the 15 kg block is 2 m/s

KE = (1/2)mv^2 = 1/2 * 15*2*2 = 30 J

KE is converted into spring energy.

Spring energy for 'x' compression = (1/2)kx^2

(1/2)*325*x^2 = 30

x = 0.430 m

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