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A 2 kg ice cube is released from point A and slides on a frictionless track as shown in the figure. Determine the speed of the cube at points B and C.

A 2 Kg Ice Cube Is Released From Point A And Slides On A Frictionless Track As Shown In The Figure Determine The Speed Of The Cube At Points B And C class=

Answer :

According to the conservation of energy

  • Potential energy at any given instance is equal to the Kinetic energy as energy can neither be created nor be destroyed

Mass is 2kg=m

#A

h=5m

  • PE=mgh

PE

  • 2(9.8)(5)
  • 10(9.8)
  • 98J

Now

  • KE=98J
  • 1/2mv²=98J
  • 1/2×2v²=98J
  • v²=98J
  • v=√98
  • v=9.4m/s

#B

h=3.2m

PE:-

  • 2(3.2)(9.8)
  • 6.4(9.8)
  • 62.7J

Now

  • KE=62.7J
  • 1/2mv²=62.7
  • v²=62.7
  • v=√62.7
  • v=7.9m/s

#C

h=2m

PE

  • 2(2)(9.8)
  • 4(9.8)
  • 39.2J

Now

  • v²=39.2
  • v=√39.2
  • v=6.3m/s

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