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Two masses, m and 2m are start from opposite edges of a frictionless hemispherical bowl of...

Two masses, m and 2m are start from opposite edges of a frictionless hemispherical bowl of radius R at the same time, and with zero initial speed. (Gravitational acceleration is g) (a) (4 Pts.) Where will they collide? (Explain your reason) (b) (6 Pts.) If they collide elastically head on, how high would 2m rise from the bottom of the bowl after the collision? (c) (10 Pts.) Now assume that the two masses are left from two points that are a quarter of the circle apart on the rim (one is on the x, the other is on the y-axis). If their collision is completely inelastic, how high would the combined mass rise from the bottom of the bowl?

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