Q. A particle (m = 1 kg) slides down a frictionless track (AOC) starting from rest at a point A (height 2 m). After reaching C, the particle continues to move freely in air as a projectile. When it reaching its highest point P (height 1 m), the kinetic energy of the particle (in J) is : (Figure drawn is schematic and not to scale; take ) __________ .
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Answer: 10.00

Solution:

As the track is frictionless and the force field is gravitational is conservative so the energy along the whole motion will be conserved.

Taking ground as datum where

at