Problem: Kinetic energy can be defined as 1/2mv 2  or as 3/2 PV. Show that the derived SI units of each of these terms are those of energy. (Pressure is force/area and force is mass imes acceleration.)

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We are asked to show that the derived SI units of each of these terms are those of energy.

1 Joule = 1 J = kg * m2/s2 


1/2mv 2

  • m = mass → kg
  • v = velocity → m/s


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Kinetic energy can be defined as 1/2mv 2  or as 3/2 PV. Show that the derived SI units of each of these terms are those of energy. (Pressure is force/area and force is mass acceleration.)

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