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Sankar posted an Question
September 21, 2021 • 03:24 am 30 points
  • IIT JAM
  • Geology (GG)

34. if a rock fragment of 0.1 kg hits the 1 point ground from a height of 1 m then at what speed (m/s) does it hit the ground with? (correct to one decimal plac

34. If a rock fragment of 0.1 Kg hits the 1 point ground from a height of 1 m then at what speed (m/s) does it hit the ground with? (Correct to one decimal place)

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    Saurabh 1 best-answer

    When the given object is at some height ( let that height be "h" ). then, by law of conservation of energy decrease in potential energy (due to height) = increment in kinetic energy (due to acquired velocity). mgh= 1/2(mv²) , where v is the velocity acquired. clearly m gets cancelled from both side, so final equation for velocity "v" is v² = 2gh v= √(2gh) Just put h= 1m and g= 10m/s² then, v= √(2×10×1) = √20 v= √20 = 4.47m/s So upto one decimal place, speed with which it will hit the ground (v) = 4.5 (in m/s). So final answer is -- 4.5

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