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Q.

A particle (m = 1kg) 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 reaches its highest point P(height 1m), the kinetic energy of the particle (in J) is:( Figure drawn is schematic and not to scale; take g = 10 ms-2

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answer is 10.

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Detailed Solution

Energy Conservation,  KE=PE1PE2=mgh1mgh2 =1×10×21×10×1=10J

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A particle (m = 1kg) 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 reaches its highest point P(height 1m), the kinetic energy of the particle (in J) is:( Figure drawn is schematic and not to scale; take g = 10 ms-2)