
Springs and Elasticity
1.
Preparation: 
a) Read
about Hooke's Law and elasticity. 

b) See parts 3
and 4 below. 
2. 
Measure
the elastic constants, k_{1} and k_{2} of two
springs. Make sure that you choose springs having significantly
different elastic constants.
Repeat the experiment with the two springs "in
series", as shown below. Find the effective value of the
elastic constant, k of the two springs together. 



Take your
values of k from graphs of force against extension. 

Plot all the graphs on
the same set of axes. 

Hooke's law
is usually stated as an equation relating the extension of
the spring to the force exerted by the spring on
the mass hanging on it. This force will, of course, be
equal in magnitude but opposite in sense to the weight of
the mass causing the extension. For this reason, Hooke's
law is often written as F= kx 

3. 
Using Hooke’s law,
find a mathematical relation between k, k_{1} and k_{2}.
See if your experimental results verify this relation. 
4.

Similarly, find a
relation between the three k values for the situation shown below. 



