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Physics / Physics for Scientists and Engineers, 6 / Chapter 14 / Problem 57

Physics for Scientists and Engineers, | 6th Edition | ISBN: 9781429201247 | Authors: Paul A. Tipler, Gene Mosca

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QUESTION:

An object of mass 2.0 kg is attached to the top of a vertical spring that is anchored to the floor. The unstressed length of the spring is 8.0 cm and the length of the spring when the object is in equilibrium is 5.0 cm. When the object is resting at its equilibrium position, it is given a sharp downward blow with a hammer so that its initial speed is (a) To what maximum height above the floor does the object eventually rise? (b) How long does it take for the object to reach its maximum height for the first time? (c) Does the spring ever become unstressed? What minimum initial velocity must be given to the object for the spring to be unstressed at some time?

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QUESTION:

An object of mass 2.0 kg is attached to the top of a vertical spring that is anchored to the floor. The unstressed length of the spring is 8.0 cm and the length of the spring when the object is in equilibrium is 5.0 cm. When the object is resting at its equilibrium position, it is given a sharp downward blow with a hammer so that its initial speed is (a) To what maximum height above the floor does the object eventually rise? (b) How long does it take for the object to reach its maximum height for the first time? (c) Does the spring ever become unstressed? What minimum initial velocity must be given to the object for the spring to be unstressed at some time?

ANSWER:

Step 1 of 5

We have given the following values

Mass of the object

Uncompressed length

Length at equilibrium

Compressed length

Speed of the hammer

Let be the amplitude

Let be the spring constant

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