Question

(18 points) A 2.00 kg block is moving mass 3.00 kg is moving to the left a 2.00 kg block is moving to the right with a speed of 1.50 m/s and a second block of U kg is moving to the left and towards the other block at a speed of 1.75 m/s. An ideal Spring is attached to the front of one block so that no energy is lost as a result of the collision (figure A). 1.50 m/s 1.75 m/s А 2.00 kg my 3.00 kg uncompressed spring V =? 2.00 kg m m 3.00 kg maximally compressed spring U =? ů =? 2.00 kg uncompressed spring m 3.00 kg A) (4 pts) Find the velocity (magnitude and direction) of the blocks at the moment of maximum compression (figure B). Note? at maximum compression, both blocks have the same velocity, and can momentarily be treated as a completely inelastic collision. B) (4 pts) During the collision, the spring has a maximum compression of 1.50 cm (figure B). Find the total kinetic energy of the blocks at the moment of maximum compression. Note that at moment of maximum compression the kinetic energy will not be the same as the initial kinetic energy. C) (4 pts) Using the information for when the spring is maximally compressed, find the spring constant of the spring. D) (6 pts) Find the velocity of each block after the collision, i.e., when the spring is no longer compressed (figure C). Here, the total kinetic energy will be the same as before the collision and so it is an elastic collision. m. vt nive

From University Physics, 5th edition.

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