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Lora (of mass 54 kg) is an expert skier. She
starts at 2.6 m/s at the top of the lynx run,
which is 51 m above the bottom.
What is her final kinetic energy at the bottom of the ski run?

Lora of mass 54 kg is an expert skier She starts at 26 ms at the top of the lynx run which is 51 m above the bottom What is her final kinetic energy at the bott class=

Respuesta :

The mechanical energy at top =Mechanical energy at bottom

  • Mass=m=54kg
  • Height=h=51m
  • Acceleration due to gravity=g=10m/s^2
  • Velocity=v=2.6m/s

[tex]\\ \tt\longmapsto M_{initial}=M_{Final}[/tex]

  • Final energy at bottom=The kinetic energy

[tex]\\ \tt\longmapsto KE=M_{initial}[/tex]

[tex]\\ \tt\longmapsto KE=P.E_{(Top)}+K.E_{(Top)}[/tex]

[tex]\\ \tt\longmapsto K.E=mgh+\dfrac{1}{2}mv^2[/tex]

[tex]\\ \tt\longmapsto K.E=m\left(gh+\dfrac{v^2}{2}\right)[/tex]

[tex]\\ \tt\longmapsto K.E=54\left((10)(51)+\dfrac{2.6^2}{2}\right)[/tex]

[tex]\\ \tt\longmapsto K.E=54\left(510+\dfrac{6.76}{2}\right)[/tex]

[tex]\\ \tt\longmapsto K .E=54(510+3.38)[/tex]

[tex]\\ \tt\longmapsto K.E=54(513.38)[/tex]

[tex]\\ \tt\longmapsto K.E=27722.52J[/tex]

[tex]\\ \tt\longmapsto K.E=27.7KJ[/tex]

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