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Kinetic Theory

Question
CBSEENPH11026117

A sphere of diameter 0.2 m and mass 2 kg is rolling on an inclined plane with velocity u = 0.5 mls. The kinetic energy of the sphere is

  • 0.1 J

  • 0.3 J

  • 0.5 J

  • 0.42 J

Solution

D.

0.42 J

The kinetic energy of sphere while rolling on an inclined plane is given by

EK =Tanslational kinetic energy  +  Rotational kinetic energy

=12 mv2 × 2 × 0.52 + 12 × 23 × 2× 0.12 × 0.50.12EK  =  0.25 + 0.17EK  = 0.42 J