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Bebalo

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The sphere of mass "m" falls and strikes the triangular block with a vertical velocity v. If the block rests on a smooth surface and has a mass 3m, determine its velocity just after the collision. The coefficient of restitution is e.

The block is a 45-45-90 triangle and the sphere is falling and striking the middle of the hypotenuse. The surface the block is resting on is perpendicular to the motion of the falling sphere (ie: surface is like counter on which block is sitting).

I've tried using conservation of momentum in the normal direction (through the center of mass of the triangle and sphere, makes 45 degree angle with surface) but this results in the final velocity of the block being "into" the surface. How do I deal with this.

The solution given in the book is: velocity of block = ((1-e)/7)*initial v of sphere.

Thanks in advace for the help.