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A particle of mass 0.12 kg is moving on the smooth inside surface of a fixed hollow sphere of radius 0.5 m . The particle moves in a horizontal circle whose centre is 0.3 m below the centre of the sphere (see diagram).
- Show that the force exerted by the sphere on the particle has magnitude 2 N .
- Find the speed of the particle.
- Find the time taken for the particle to complete one revolution.