Rolling On A Movable Wedge!

A uniform solid spherical ball of mass $$m$$ and radius $$r$$ is rolling without slipping down on an inclined wedge of same mass. Find The velocity of wedge when the ball reaches the bottom of the wedge .

Details And Assumptions

• Angle Of Inclination Of Wedge With The Horizontal = 45 Degrees
• Height Of The Point From horizontal ground on the wedge from which the ball is released = 46 metre
• Take Acceleration due to gravity = 10 SI Units
• Neglect Air Resistance.
• Neglect Any Toppling Effect Of The Wedge
• The Wedge Is Free To Move Along The Horizontal Surface
• friction is sufficient so that the ball can roll purely with respect to the wedge
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