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mathematical expression of work energy theorem. If and are the the starting and ending positions and are the the startingand ending velocities and is the force acting on the object for any givenposition then. Conversely a decrease in kinetic energy is caused by an equal amount of negative work done by the resultant force.
Work Energy Theorem Boundless Physics from courses.lumenlearning.com
This is the Work-Energy theorem or the relation between Kinetic energy and Work done. When a force acts upon an object while it is moving work is said to have been done upon the object by that force. It is therefore imperative that the principle of conservation of mechanical energy be understood as well.
The workenergy theorem is a powerful expression of the relationship between work and energy.
THE WORK ENERGY THEOREM STATES THAT WORK DONE BY ALL THE FORCES CONSERVATIVE AND NON CONSERVATIVE ON A BODY IS EQUAL TO CHANGE IN THE KINETIC ENERGY OF THAT BODY. W E k 2 E k 1 W DE k mathematical expression or equation for the work-kinetic energy theorem is derived here. The work W done by the net force on a particle equals the change in the particles kinetic energy K E. W DKE 1 2mv2 f 1 2mv2 i W D KE 1 2 mv f 2 1 2 mv i 2.
