# 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,

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