Block Released from Hemispherical Ice | Find Height Where Normal = 0 | AP Physics C | JEE Advanced

Описание: A block is placed at the top of a smooth hemispherical ice mound of radius R and released from rest (negligible initial speed). At what height does the block lose contact with the ice surface?

Complete step-by-step solution using:
• Conservation of Mechanical Energy (Gravitational Potential Energy + Kinetic Energy)
• Circular motion & condition for leaving the surface (Normal force N = 0)
• Centripetal force requirement

Final answer: The block loses contact at height h = (2/3)R from the bottom (or height R/3 from the top).

Perfect problem for:
• AP Physics C: Mechanics
• JEE Main & Advanced 2026/2027
• NEET Physics
• Class 11/12 Circular Motion + Energy Conservation

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