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Physics / Sears and Zemansky's University Physics with Modern Physics 13 / Chapter 7 / Problem 71P

Sears and Zemansky's University Physics with Modern Physics | 13th Edition | ISBN: 9780321696861 | Authors: Hugh D. Young; Roger A. Freedman; A. Lewis Ford

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Answer: An experimental apparatus with mass m is placed on

Chapter 7, Problem 71P

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QUESTION:

Problem 71P

An experimental apparatus with mass m is placed on a vertical spring of negligible mass and pushed down until the spring is compressed a distance x. The apparatus is then released and reaches its maximum height at a distance l1 above the point where it is released. The apparatus is not attached to the spring, and at its maximum height it is no longer in contact with the spring. The maximum magnitude or acceleration the apparatus can have without being damaged is a, where a > g. (a) What should the force constant of the spring be? (b) What distance x must the spring be compressed initially?

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QUESTION:

Problem 71P

An experimental apparatus with mass m is placed on a vertical spring of negligible mass and pushed down until the spring is compressed a distance x. The apparatus is then released and reaches its maximum height at a distance l1 above the point where it is released. The apparatus is not attached to the spring, and at its maximum height it is no longer in contact with the spring. The maximum magnitude or acceleration the apparatus can have without being damaged is a, where a > g. (a) What should the force constant of the spring be? (b) What distance x must the spring be compressed initially?

ANSWER:

Solution to 71P

Step 1

Mass of the experimental apparatus=m

Spring constant of the spring=k

Acceleration of experimental apparatus when it is released=a

Distance the spring was compressed =x

Maximum height achieved once spring is released =h

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