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23 Nov 2019

A 1-kg block compresses a spring for which k = 104 N/m by 34 cm andis then released to move across a horizontal, frictionless table,where it hits and compresses another spring, for which k = 67N/m.
(a) Determine the total mechanical energy of the system.
1

(b) Determine the speed of the mass while moving freely betweensprings.
2

(c) Determine the maximum compression of the second spring.
3

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Deanna Hettinger
Deanna HettingerLv2
5 May 2019

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

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Anything you can tell me about this problem that might helpismuch appreciated, thanks!!

A 2-kilogram block and an 8-kilogram block are both attachedtoan ideal spring ( for which k = 200 N/m ) are both initially atreston a horizontal frictionless surface, as shown in thediagramabove.
In an initial experiment, a 100-gram (.1 kg) ball of clayisthrown at the 2-kg block. The clay is moving horizontally wihspeedv when it hits and sticks to the block. The 8-kgblock isheld still by a removable stop. As a result, the springcompressesa maximum distance of .04 meters.
(a) Calculate the energy stored in the spring atmaximumcompression
(b) Calculate the speed of the clay ball and 2-kgblockimmediately after the clay sticks to the block but beforethespring compresses significantly.
(c) Calculate the initial speed v of the clay.
In a second experiment, an identical ball of clayisthrown at another 2-kg block, but this time the stop is removedsothat the 8-kg block is free to move.
(d) State whether the maximum compression ofthespring will be greater than, equal, or less than 0.4meters.Explain.
(e) State the principle or principles that canbeused to calculate the velcity of the 8 kg block at the instantthatthe spring regains its orginal length.

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