Maurice Tutor

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Teaching Since: May 2017
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  • MCS,PHD
    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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    Phoniex University
    Oct-2001 - Nov-2016

Category > Management Posted 16 Feb 2018 My Price 9.00

vertical spring

In an experiment, students are to calculate the spring constant k of a vertical spring in a small jumping toy
that initially rests on a table. When the spring in the toy is compressed a distance x from its uncompressed
length L0
compression. The students repeat the experiment several times, measuring h with objects of various masses
and the toy is released, the top of the toy rises to a maximum height h above the point of maximum
taped to the top of the toy so that the combined mass of the toy and added objects is m. The bottom of the toy
and the spring each have negligible mass compared to the top of the toy and the objects taped to it.
(a) Derive an expression for the height h in terms of m, x, k, and fundamental constants.
With the spring compressed a distance x = 0.020 m in each trial, the students obtained the following data for
different values of m.
(b)
i. What quantities should be graphed so that the slope of a best-fit straight line through the data points
can be used to calculate the spring constant k ?
ii. Fill in one or both of the blank columns in the table with calculated values of your quantities,
including units.
(c) On the axes below, plot your data and draw a best-fit straight line. Label the axes and indicate the scale.

 


Answers

Maurice Tutor
(5)
Status NEW Posted 16 Feb 2018 10:02 PM My Price 9.00

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