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A light spring of force constant 4.05 N/m is compressed by 8.00 cm and held betw

ID: 2141232 • Letter: A

Question

A light spring of force constant 4.05 N/m is compressed by 8.00 cm and held between a 0.250 kg block on the left and a 0.520 kg block on the right.  Both blocks are at rest on a horizontal surface.  The blocks are released simultaneously so that the spring tends to push them apart.  Find the maximum velocity each block attains if the coefficient of kinetic friction between each block and the surface is the following.  In each case, assume that the coefficient of static friction is greater than the coefficient of kinetic friction.   Let the positive direction point to the right.If you explain how to do this problem that would be great!

Explanation / Answer

F(max) from spring 4.05 . 0.08 = 0.324 N

F(average) = 0.162 N

a(average) = 0.162 / 0.25 = 0.648 m/s/s

v ( left block ) = ? 2 . a . d = ? 2 . 0.648 . (0.52 / 0.25 ) . 0.8

Do the same for the right block with the correct acceleration and distance.

In the second set, block right doesn't move ( max firction bigger than the push, so all the energy goes to the left block

And in the last...nothing happens. the spring isn't strong enough to push them apart.

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