A ball is dropped from a height of 10 m. It strikes the ground and rebounds up to a height of 2.5 m. During the collision, the per cent loss in the kinetic energy is:

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RRB ALP Previous Paper 6 (Held On: 13 Aug 2018 Shift 1)
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  1. 100%
  2. 25%
  3. 50%
  4. 75%

Answer (Detailed Solution Below)

Option 4 : 75%
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  • In condition of free fall, the potential energy is converted into kinetic energy (K.E)
  • According to the law of conservation of mechanical energy:
  • Initial kinetic energy = Potential Energy =  mgh
  • Final kinetic energy = mgh1
  • Change in kinetic energy = mg (h-h1)
  • Percentage change in kinetic energy = \(\frac{{{\rm{mg}}\left( {{\rm{h}} - {\rm{\;h}}1} \right)}}{{{\rm{mgh}}}}\) × 100 = [(7.5/10) × (100)] = 75%.
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