a .035 kg block is pushed against a horizontal spring with a force constant of 200 N/m.?

Question

and the spring is compressed 10 cm. The spring is released and the block is propelled directly toward another horizontal spring with a force constant of 265 N/m. a) What is the speed of the block when it has traveled 0.5 cm from its point of release? b) What is the speed of the block when it is not in contact with either spring? c) How far does the block compress the second spring?

Answer 1

The potential energy in the initial condiiton is
PE0 = kx^2/2, where k=200, x=0.01.
When the spring has uncompressed by 0.5 cm,
PE1 = kx^2/2 where k=200, x = 0.005.
At this point, kinetic energy of the block
KE = PE0 - PE1 = mv^2/2. For a), solve for v.
When not contacting either spring,
KE2 = PE0 = mv^2/2. For b), solve for v.
The block compresses the second spring such that
PE2 = KE2 = kx^2/2, where k=265. For c), solve for x.

Answer 2

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