The Effective Spring Constant Keff for Two Springs (With Spring $\mathrm{k}_{1}$

Multiple Choice

The effective spring constant keff for two springs (with spring constants of $\mathrm{k}_{1}$ amd $\mathrm{k}_{2}$ ) placed in series is given by the formula $\mathrm{k}_{\mathrm{eff}}=\frac{\mathrm{k}_{1} \mathrm{k}_{2}}{\mathrm{k}_{1}+\mathrm{k}_{2}}$ . Solve the equation for $\mathrm{k}_{2}$ .

A) $\mathrm{k}_{2}=\frac{\mathrm{k}_{\mathrm{eff}} \mathrm{k}_{1}}{\mathrm{k}_{1}+\mathrm{k}_{\mathrm{eff}}}$

B) $\mathrm{k}_{2}=\frac{\mathrm{k}_{\mathrm{eff}} \mathrm{k}_{1}}{\mathrm{k}_{1}-\mathrm{k}_{\mathrm{eff}}}$

C) $\mathrm{k}_{2}=\frac{\mathrm{k}_{\mathrm{eff}}-\mathrm{k}_{1}}{\mathrm{k}_{1}}$

D) $\mathrm{k}_{2}=\frac{\mathrm{k}_{\mathrm{eff}} \mathrm{k}_{1}}{\mathrm{k}_{\mathrm{eff}}-\mathrm{k}_{1}}$