Step 1 Begin with the Work-Energy Theorem. DKFdrdisplaystyle Delta Kint mathbf F cdot mathrm d mathbf r Step 3 Rewrite force in terms of velocity. Kinetic Energy K 12 m v2 12 m2 v2m 12 p2m p2 2m.
Lets take an example.
Note that mass is a scalar and can therefore be factored out. The dot product can then be expressed as. DKFdrdisplaystyle Delta Kint mathbf F cdot mathrm d mathbf r Step 3 Rewrite force in terms of velocity. The relation connecting the initial velocity u and final velocity v of an object moving with a uniform acceleration a and the displacement S is v2 - u2 2aS.