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1) A massless spring with force constant 589 N/m is fastened at its left end to...

1) A massless spring with force constant 589 N/m is fastened at its left end to a vertical wall, as shown below. The acceleration of gravity is 9.8 m/s ^2 Initially, the 6 kg block and 2 kg block rest on a horizontal surface with the 6 kg block in contact with the spring (but not compressing it) and with the 2 kg block in contact with the 6 kg block. The 6 kg block is then moved to the left, compressing the spring a distance of 0.3 m, and held in place while the 2 kg block remains at rest as shown below. Determine the elastic energy U stored in the compressed spring. Answer in units of J.

2) The 6 kg block is then released and accelerates to the right, toward the 2 kg block. The surface is rough and the coefficient of friction between each block and the surface is 0.3 . The two blocks collide, stick together, and move to the right. Remember that the spring is not attached to the 6 kg block. Find the speed of the 6 kg block just before it collides with the 2 kg block. Answer in units of m/s.

3) Find the final speed of both blocks (stuck together) just after they collide. Answer in units of m/s.

4) Find the horizontal distance the blocks move before coming to rest. Answer in units of m.

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