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Two spheres A and B of masses m₁ and m₂ respectively collide. A is at rest initially and B is moving with velocity v along x-axis. After collision B has a velocity v/2 in a direction perpendicular to the original direction. The mass A moves after collision in the direction:
- Same as that of B
- Opposite to that of B
- θ = tan⁻¹(1/2) to the x-axis
- θ = tan⁻¹(-1/2) to the x-axis
Correct answer: θ = tan⁻¹(1/2) to the x-axis
Solution
Using the principle of conservation of momentum in both x and y directions, the direction of A's motion after collision is determined to be θ = tan⁻¹(1/2) to the x-axis.
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