Apple P has mass $0.17$ kg and apple Q has mass $0.20$ kg.

Apple P and Q collide on a smooth horizontal surface and move off together.

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Before the collision, apple P was moving at $2.0$ ms$^{-1}$ and apple Q was moving at $1.8$ ms$^{-1}$ at an angle of $40^{\circ}$ to the path of P.

After the collision, what is the magnitude of the component of the final momentum of the combined apples in the direction of apple P?