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Consider objects of masses m(1)and m(2) ...

Consider objects of masses `m_(1)and m_(2)` moving initially along the same straight line with velocities `u_(1)and u_(2)` respectively. Considering a perfectly elastic collision (with `u_(1)gt u_(2))` derive expressions for their velocities after collision.

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To derive the expressions for the velocities of two objects after a perfectly elastic collision, we will use the principles of conservation of momentum and conservation of kinetic energy. Let's denote the masses and velocities as follows: - Mass of object 1: \( m_1 \) - Initial velocity of object 1: \( u_1 \) - Mass of object 2: \( m_2 \) - Initial velocity of object 2: \( u_2 \) - Final velocity of object 1 after collision: \( v_1 \) - Final velocity of object 2 after collision: \( v_2 \) ...
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