A spring is compressed between two toy carts of masses $m_1$ and $m_2$. When the toy carts are released the spring exerts equal and opposite forces for the same time $t$ on each toy cart. If the coefficients of friction $\mu $ between the ground and the toy carts are equal, then the displacement of the toy carts are in the ratio
A spring is compressed between two toy carts of masses $m_1$ and $m_2$. When the toy carts are released the spring exerts equal and opposite forces for the same time $t$ on each toy cart. If the coefficients of friction $\mu $ between the ground and the toy carts are equal, then the displacement of the toy carts are in the ratio
- A
$\frac{{{s_1}}}{{{s_2}}} = \frac{{{m_2}}}{{{m_1}}}$
- B
$\frac{{{s_1}}}{{{s_2}}} = \frac{{{m_1}}}{{{m_2}}}$
- C
$\frac{{{s_1}}}{{{s_2}}} = {\left( {\frac{{{m_2}}}{{{m_1}}}} \right)^2}$
- D
$\frac{{{s_1}}}{{{s_2}}} = {\left( {\frac{{{m_1}}}{{{m_2}}}} \right)^2}$
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