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In the diagram below a solid marble rolls from rest without slipping down a mountain...

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Physics

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In the diagram below a solid marble rolls from rest without slipping down a mountain of height h 100 m A Find the linear v 1 and angular speed omega 1 of the marble at the bottom of the hill 100m below top State the equations used and briefly explain your method Hint 1 Use conservation of energy 2 It is not necessary to know the mass M of marble B Find the linear v 2 and angular speed omega 2 of the marble when it lands on the ground in the pit or to the right of the pit State the equations used and briefly explain your method h V V 1 omega 1 W 45 m V1 W Pit 25 m 26m The moment of inertia of a solid sphere is I MR where M is the mass of the marble and R 0 1 m is the radius of the marble V V 2 W omega 2

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