A mass $M$ is suspended by two springs of force constants $K_1$ and $K_2$ respectively as shown in the diagram. The total elongation (stretch) of the two springs is
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(b)For series combination ${k_{eq}} = \frac{{{k_1}{k_2}}}{{{k_1} + {k_2}}}$
$F = {k_{eq}}x \Rightarrow mg = \left( {\frac{{{k_1}{k_2}}}{{{k_1} + {k_2}}}} \right)x$$ \Rightarrow x = \frac{{mg({k_1} + {k_2})}}{{{k_1}{k_2}}}$
$F = {k_{eq}}x \Rightarrow mg = \left( {\frac{{{k_1}{k_2}}}{{{k_1} + {k_2}}}} \right)x$$ \Rightarrow x = \frac{{mg({k_1} + {k_2})}}{{{k_1}{k_2}}}$
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