# Problem: A spring of stiffness k and relaxed length L stands vertically on a table. A person takes a mass M and very slowly lets the mass down onto the spring. On letting go, he finds that the mass does not move and the spring is compressed by a length d1. The same experiment is now repeated by letting the mass go all of a sudden when the spring is still unstretched. The spring is found to compress by a length d2 when the mass momentarily comes to rest. What is the ratio d 1/d2? 1. Mg / kL 2. 2 3. 4 4. kL / Mg 5. 1/4 6. 1 7. 1/2

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###### Problem Details

A spring of stiffness k and relaxed length L stands vertically on a table. A person takes a mass M and very slowly lets the mass down onto the spring. On letting go, he finds that the mass does not move and the spring is compressed by a length d1. The same experiment is now repeated by letting the mass go all of a sudden when the spring is still unstretched. The spring is found to compress by a length d2 when the mass momentarily comes to rest. What is the ratio d 1/d2?

1. Mg / kL

2. 2

3. 4

4. kL / Mg

5. 1/4

6. 1

7. 1/2