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Forces and Elasticity
Investigating Hooke's Law
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Hooke's Law
The force applied to a spring is
proportional
to how far it
stretches
Experiment to find the extension of a spring
Hang spring
from
clamp stand
without
masses
Add masses of same
weight
one at a time so the
force increases
After each mass is added, measure the
new length
and calculate the
extension
When the results of Hooke's law experiment are recorded onto a graph with force on y and extension on x, the spring
constant
is the
gradient
If your extension is on the
y axis
and force is on the
x axis
, the graph is wrong so you need to
reciprocal
the
gradient
to find the
spring constant
Equation for energy transferred (
work done
)when stretching a spring
energy transferred in stretching =
0.5
x
spring constant
x
extension^2
In a
force-extension
graph, the energy transferred is the area
below
the line
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