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The Work-Kinetic Energy Theorem in Physics

Kinetic energy is the accounting balance of motion. Whatever net work goes into a body shows up as a change in that balance, and nothing else about the journey matters, only the total. That is what makes this theorem so useful. A problem that would need forces and times becomes a single subtraction of two numbers, and the reverse works just as well, since a change in kinetic energy tells you the net work even when the force was changing all along. The blocks cover the quantity itself, the theorem in both directions, and the two stopping distances it predicts.

Kinetic energy of a moving body

Given

  • (kg)
  • (m/s)
Speed from the kinetic energy

Given

  • (J)
  • (kg)
Mass from the kinetic energy and the speed

Given

  • (J)
  • (m/s)
Kinetic energy written in terms of momentum

Given

  • (kg m/s)
  • (kg)
Momentum from the kinetic energy

Given

  • (J)
  • (kg)
Net work done and the change in kinetic energy

Given

  • (kg)
  • (m/s)
  • (m/s)
Speed after a given net work has been done

Given

  • (m/s)
  • (J)
  • (kg)
Change in kinetic energy from a constant net force

Given

  • (N)
  • (m)
Change in kinetic energy from a varying net force

Given

  • (m)
Speed gained in falling from rest through a height

Given

  • (m)

Constant used

Distance for a constant force to bring a body to rest

Given

  • (kg)
  • (m/s)
  • (N)
Stopping distance when friction does the braking

Given

  • (m/s)

Constant used