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# Two objects of masses 100 g and 200 g are moving along the same line and direction with velocities of 2 m s^–1 and 1 m s^–1, respectively. They collide and after the collision, the first object moves at a

Two objects of masses 100 g and 200 g are moving along the same line and direction with velocities of 2 m s-1 and 1 m s-1, respectively. They collide and after the collision, the first object moves at a velocity of 1.67 m s-1. Determine the velocity of the second object.

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In this question we will use conservation of momentum :

Initial momentum   =  Final momentum

$m_1u_1\ +\ m_2u_2\ =\ m_1v_1\ +\ m_2v_2$

or                           $0.1\times 2\ +\ 0.2\times 1\ =\ 0.1\times 1.67\ +\ 0.2\times v_2$

or                                                              $v_2\ =\ \frac{0.233}{0.2}$

or                                                              $v_2\ =\ 1.165\ m/s$

Hence required velocity is 1.165 m/s.

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