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Standard XII

Physics

Calorimetry

A system cons...

Question

A system consists of two springs connected in series and having the stiffness coefficients $k_{1}$ and $k_{2}$ . Find the minimum work to be performed in order to stretch this system by $Δ l$ .

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Solution

Two springs are connected in series has a effective spring constant K given by,
$K = \frac{1}{k_{1}} + \frac{1}{k_{2}}$ ..............(1)
So the minimum work to be performed in order to stretch this system by an amount $Δ l$ is = $1 / 2 \times K \times Δ l^{2}$ , where K is given by equation (1).

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A system consists of two springs connected in series and having the stiffness coefficients k1 and k2. Find the minimum work to be performed in order to stretch this system by Δl.

Two springs are connected in series has a effective spring constant K given by,K=1k1+1k2..............(1)So the minimum work to be performed in order to stretch this system by an amount Δl is = 1/2×K×Δl2, where K is given by equation (1).

A system consists of two springs connected in series and having the stiffness coefficients $k_{1}$ and $k_{2}$ . Find the minimum work to be performed in order to stretch this system by $Δ l$ .

Two springs are connected in series has a effective spring constant K given by,
$K = \frac{1}{k_{1}} + \frac{1}{k_{2}}$ ..............(1)
So the minimum work to be performed in order to stretch this system by an amount $Δ l$ is = $1 / 2 \times K \times Δ l^{2}$ , where K is given by equation (1).