What are the velocities of each of the two blocks after they collide?
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Please see the attached file.
The initial potential energy of block #1 (the 0.5 kg block) = 0.5 * 9.8 * 2.5 = 12.25 J.
As this block slides down the slope, all of its potential energy is converted into kinetic energy.
Just before block #1 hits block #2 (the 1 kg block) its kinetic energy is 12.25 J. The velocity of block #1 before ...
This solution looks at the velocity of two blocks after they collide.