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JEE Advanced2013PhysicsMotion in Two DimensionsActual

A particle of mass m is projected from the ground with an initial speed u ∘ at an angle α with the horizontal. At the highest point of its trajectory, it makes a completely inelastic collision with another identical particle, which was thrown vertically upward from the ground with the same initial speed u ∘ . The angle that the composite system makes with the horizontal immediately after the collisio

Options

  1. Aπ 4
  2. Bπ 2 + α
  3. Cπ 2 - α
  4. Dπ 2

Correct answer

A. π 4

Step-by-step solution

At the highest point (v₁= u₀ 2 ) (by applying momentum conservation in horizontal direction) ( v ₂= u ₀ 2 ) (by applying momentum conservation in vertical direction) ( =45^ ( H = u ₀² ² 2 ~g ) )

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