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Grade: 11

                        

workdone by the force is equal to change kinetic energy

3 years ago

Answers : (1)

sagar kumar
99 Points
							

When you accelerate an object, you are doing work against inertia. That work equals the change in kinetic energy of the object.

Proof that the relationship is true can be determined by starting with the standard equation for work against inertia. You then define the constant acceleration in terms of velocity and time, as well as the distance traveled.

By some simple algebraic substitution, you can derive the equation for work in terms of change in kinetic energy.

You want to prove that the equation for work in terms of the change in kinetic energy of an object is:

W = ΔKE

or

W = KEf− KEi

where

  • W is the work done against the resistance of inertia
  • ΔKE is the change in kinetic energy (Δ is Greek letter capital delta)
  • KEf is the final kinetic energy of the object (KEf = mvf2/2)
  • KEi is the initial kinetic energy of the object (KEi = mvi2/2)
3 years ago
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