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Hooke’s Law states that, “arrgh,
once a pirate you become, and then always a pirate you shall remain, arrrgh.” No? Sorry that’s Captain Hooks Law.
Hooke’s Law (which is more
fun), “states that a force, F needed to
extend or compress a spring by some distance X is proportional to that
distance, 
where k is the constant characteristics of the spring, its
stiffness. Just like mass describes an
object, k describes a spring.’ (Unknown,
2013). I know what you’re thinking, using Wikipedia as a source on a
college project, that’s low! Hold on though, they are right and in this context
even more so since a Jumperoo™ has springs! If the force and the displacement
are proportional than this idea holds (2011, February 21).
Let us get into Hooke’s Law with some more detail.
Others have already stated that the
(in units of Newton’s [N]) 
,
the force of a spring relative to some axis is equal to the negative of
property that characterizes a spring, k, times the change in some axis (used
for describing the displacement a spring has in units of meters [m]) (Knight, 2013). Why negative? The
direction of the force achieved in this process is negative the displacement
or, 
and
)
(2011, February 21). This mathematically describes a restoring force and thus
models a springs restoring force (Knight,
2013). It is true for some springs but not true for all springs, if the
spring is compressed or stretched to far then this law fails (Knight, 2013). Maybe this is less of a law and more of a, “Don’t let me see you do
this.” I don’t know Newton made the laws, Hooke and Newton didn’t always get
along. Newton even considered Hooke a pesterer which was a very big thing back then
(Lliffe,
2007). Newton’s second law is related to Hooke’s Law as discussed next.
By graphing the
,
k can be determined as the slope that this line creates (in units of [N/m] (Knight, 2013). See, Newton really
didn’t like Hooke otherwise this would be called a Hooke [Hk]).
This is the experiment we will try together. You can just sit back and enjoy
the results. Or take my word for it. Hey you’re pretty trusting, nothing wrong
with that though. Still here is an image that explains my previous statement.
Hooke’s law. [Art]. In Encyclopćdia Britannica.
Retrieved fromhttp://www.britannica.com/EBchecked/media/153434/Hookes-law-F-kx-where-the-applied-force-F-equals
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Uaf Physics 211X |
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