Blogs
on September 12, 2020
- Body on a spring.
When an object is attached to a spring and undergo simple harmonic motion, the force on the spring is given by ;
The work done in stretching the spring is given by
Work = Average force x displacement
This work is converted to energy , hence the energy stored in the stretched spring=
This potential energy is converted to kinetic energy when the string is released. The kinetic energy is given by where m is the mass of the body and v is the velocity at that instant.
The total energy at any point is constant and is equal to the sum of the potential and kinetic energy.
P.E +K.E= constant
At the equilibrium position where the speed is maximum, P.E=0, since x=0 .
At this point , total energy = =
At maximum position where the speed v=0
At any other position , as K.E increases , P.E decreases and as P.E increases K.E decreases. Total energy at any point = P.E + K.E
2. Simple pendulum
The conservation of energy is also applicable to simple pendulum as shown in the diagram
TOTAL ENERGY AT ANY POINT = P.E + K.E= CONSTANT
From the diagram above ,as the pendulum go from center c to A . K.E decreases and P.E increases . note that at any point total energy remain the same this is equal
P.E + K.E= constant
,for simple pendulum
Read more about PHYSICS for High Schools
Posted in: Education
Topics:
energy of simple harmonic motion
Be the first person to like this.