Physics Practice Problems Intro to Springs Practice Problems Solution: A small block of mass m is on a frictionless table...

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Solution: A small block of mass m is on a frictionless table and is attached to a horizontal spring. The spring has stiffness ks and a relaxed length L. The other end of the spring is fastened to a fixed point at the center of the table. The block slides on the table in a circular path of radius R > L. How long does it take for the block to go around once? 1. T = √ 3π2mL2 / ksR2 2. T = √ 4πmR / ksL 3. T = √ 4π2mR2 / ksL 4. T = √ 4πmR / ks (R − L) 5. T = √ 4π2mR2 / ks(R −​ L)2 6. T = √ 2πmR / ks(R −​ L) 7. T = √ 3π2mR2 / ks(R −​ L) 8. T = √ 4π2mR / ks(R −​ L) 9. T = √ 4πmR / ks(L −​ R) 10. T = √ 4π2mR / ks(L −​ R)

Problem

A small block of mass m is on a frictionless table and is attached to a horizontal spring. The spring has stiffness ks and a relaxed length L. The other end of the spring is fastened to a fixed point at the center of the table. The block slides on the table in a circular path of radius R > L. How long does it take for the block to go around once?

1. T = √ 3π2mL2 / ksR2

2. T = √ 4πmR / ksL

3. T = √ 4π2mR2 / ksL

4. T = √ 4πmR / ks (R − L)

5. T = √ 4π2mR2 / ks(R −​ L)2

6. T = √ 2πmR / ks(R −​ L)

7. T = √ 3π2mR2 / ks(R −​ L)

8. T = √ 4π2mR / ks(R −​ L)

9. T = √ 4πmR / ks(L −​ R)

10. T = √ 4π2mR / ks(L −​ R)