A spring is compressed between two toy carts of masses \( m_{1} \) and \( m_{2} \). When the toy...

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A spring is compressed between two toy carts of masses \( m_{1} \) and \( m_{2} \). When the toy carts are released, the spring exerts on each toy cart equal and opposite forces for the same small time \( t \). If the coefficients of friction \( \mu \) between the ground and the toy carts are equal, then the magnitude of displacements of the toy carts are in the ratio
(1) \( \frac{s_{1}}{s_{2}}=\frac{m_{2}}{m_{1}} \)
(2) \( \frac{s_{1}}{s_{2}}=\frac{m_{1}}{m_{2}} \)
(3) \( \frac{s_{1}}{s_{2}}=\left(\frac{m_{2}}{m_{1}}\right)^{2} \)
(4) \( \frac{s_{1}}{s_{2}}=\left(\frac{m_{1}}{m_{2}}\right)^{2} \)
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