A block of mass m is attached to two upstretched springs of spring constants k1 and k2 as shown in figure (8-E9). The block is displaced towards right through a distance x and is released. Find the speed of the block as it passes through the mean position shown.
The speed of the block, 
Given
The block of mass “m” is attached with 2 spring constants 
and 
and the block is released on the right.
Formula Used
Using the conversation of energy, we equate the energies of spring compression and potential energy of the mass of the block, the formula of the energy stored in spring compression is
And the energy stored in the block is formulated as
where
The value of spring constant is denoted as “k”, the compression distance is “x”, the mass of the block is given as “m”, v is the velocity of the block.
Explanation
The conservation of the energy between spring energy and potential energy is given as
Therefore, the speed of the block, 