Two identical carts on an air track approach the same intersection point

PHYSICS · Subjective · CBSE · Physics · Work, Energy and Power · Work, Energy and Power

Problem

Two identical 0.25 kg0.25\,\text{kg} carts on an air track approach the same intersection point. Cart 1 moves 5.0 m/s5.0\,\text{m/s} east; cart 2 moves 8.0 m/s8.0\,\text{m/s} north. They collide and separate. After the collision, cart 1 is observed to move 4.0 m/s4.0\,\text{m/s} at 60∘60^{\circ} north of east. Determine the magnitude and direction of the velocity of cart 2 immediately after the collision.

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