Latex W frac 1 2ke 2. This is the potential energy E p of the object. The extension of the spring frequently has the letter instead of and so the equation becomes.
D E d t 0 I am given to understand that taking the derivative of the total energy with respect to t should allow me to rearrage for the equation of motion of a pendulum d 2 th d t 2 g L s i n th 0.
When h. Its M times G times H. Let the work done on the object against gravity W Work done W force displacement Work done W mg h Work done W mgh Since workdone on the object is equal to mgh an energy equal to mgh units is gained by the object. Potential Energy m g h.