A spring is compressed between two toy carts | vedclass

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Question

(C) According to Newton's third law,the spring exerts equal and opposite forces on the two carts for the same duration of time. Since the system is is

Vedclass · Accepted Answer

$v_1 / v_2 = -m_2 / m_1$

Vedclass · Answer

(C) According to Newton's third law,the spring exerts equal and opposite forces on the two carts for the same duration of time. Since the system is isolated (no external horizontal force),the total linear momentum of the system remains conserved. Initially,the carts are at rest,so the initial momentum is $P_i = 0$. According to the law of conservation of linear momentum,the final momentum $P_f$ must also be zero: $m_1 v_1 + m_2 v_2 = 0$ Rearranging the terms to find the ratio of velocities: $m_1 v_1 = -m_2 v_2$ $\frac{v_1}{v_2} = -\frac{m_2}{m_1}$ Therefore,the correct option is $C$.

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