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A perforated bead of mass 37g moves on a frictionless horizontal circular track of radius R=0.65m. The track runs through the bead. When the bead is at rest in the horizontal position, it is tied to a spring at the centre of the track. The unstretched length of the spring is R/3. The bead is given a gentle nudge downward.

a) Find the speed of the bead.

b) As the bead moves, the track is tilted so that its is now sitting vertically. Find the difference between the bead's max and min speeds.

c)Find the work done by the spring in bringing the bead from the lowest to the highest points on the now vertical track.

d)Find the work done by gravity as the bead goes from the lowest to the highest points along the track.

  • Physics -


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