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A disc is at rest at the top of a 3m long ramp that is angled at 10 degrees. it has a mass of 8 kg and a radius of 6 cm. when it reaches the bottom of the ramp it has an immediate impact with an immovable wall which causes a particle of mass .6kg from the very top of the shape to fly off of the object and land on the other side of the wall.

questions:
what is the tangential velocity of the particle as it leaves the top of the object?
how much time will it take for the particle to leave the object and hit the ground?
how far horizontally will the particle go once it leaves the object?
how much energy did the collision absorb when the object hit the wall?
how would the motion of the particle have been different if the object had a smaller radius, but the same amount of mass? justify your answer.

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