The net work done by the forces acting on the body is equal to the change in kinetic energy of the body.
Work energy principle formula.
Work energy theorem states that.
For the potential energy the formula is.
Wnet kf ki k.
Work and potential energy.
It is also known as the principle of work and kinetic energy.
Mgh 0 5mv 2 force distance k.
The scalar product of a force f and the velocity v of its point of application defines the power input to a system at an instant of time.
For a spring this can be written.
The formula for power is.
Integration of this power over the trajectory of the point of application c x t defines the work input to the system by the force.
Now to make it work you need to keep track of sign for each.
Sometimes people forget that the work energy theorem only applies to the net work not the work done by a single force.
The work energy theorem states that the net work done by the forces on an object equals the change in its kinetic energy.
If energy is not conserved then it is used to do work.
Mgh 0 5 mv 2 f d k.
In physics we can define energy as the capacity to do work.
W refers to the work done by the force f.
Potential energy kinetic energy work constant.
Power can be defined as the rate at which work is done i e.
In other words the work done is equal to the change in energy.
Work energy principle for angular quantities.
For example the work done against gravity is equal to the change in the potential energy of the body and the work done against all resistive forces is equal to the change in the total energy.
Pe ke w k.
For pure rotation the net work is equal to the change in rotational kinetic energy.
F kx where k is known as the spring constant.
The si unit of energy is joules j which is named in honour of james prescott joule.
For a constant torque the work can be expressed as and for a net torque newton s 2nd law for rotationgives.
K is a measure of how difficult it is to stretch a spring.
Mathematically it is expressed as.
The rate of doing work is equal to the rate of using energy since the force transfers one unit of energy when it does one unit of work.
The larger k is the stiffer the spring is and the harder the spring is to stretch.
In other words w is telling you the amount of energy that the force f is giving to the object.
The formula to find the work done by a particular force on an object is w equals f d cosine theta.
The work energy principleis a general principle which can be applied specifically to rotating objects.
This linear relationship between the force and the displacement is known as hooke s law.
