Conservation of Energy ICSE Class 10 Physics Notes

Conservation of Energy ICSE Class 10 Physics Notes. In this articles you would learn about conservation of energy with proof by free falling body and using simple pendulum. Visit official Website CISCE for detail information about ICSE Board Class-10 Physics.

Conservation of Energy ICSE Class 10 Physics Notes

Point to be Discuss

PRINCIPLE OF CONSERVATION OF ENERGY

THEORETICAL VERIFICATION OF K+U=CONSTANT FOR A FREELY FALLING BODY.

APLICATION OF PRINCIPLE OF CONSEVATION OF ENERGY TO A SIMPLE PENDULUM.

PRINCIPLE OF CONSERVATION OF ENERGY.

The law of conservation of energy applies to all types of energy. It states that energy cannot be created or destroyed; it can only be transformed from one type of energy to another.

THEORETICAL VERIFICATION OF K+U=CONSTANT FOR A FREELY FALLING BODY.

At Position A
(at height h above the ground):

Initial velocity of body=0(since body at rest at A)

kinetic energy K=0

Potential energy U=mgh

Hence,total energy =K+U=0+mgh=mgh…..(1)

At Position B
(when it has fallen through a distance x):

At position B, when an object has fallen a distance x, its kinetic energy is mgx and its potential energy is mg(h-x), where m is the mass, g is the acceleration due to gravity, and h is the initial height.

from equation v² = u² + 2aS
v₁² = 0 + 2gx = 2gx
v₁² = 2gx
Now K = 1/2(mv²)
Now K = 1/2(m2gx )
Now K = mgx

height of body above the ground =h-x

∴Potential Energy U=mg(h-x)
Hence,total energy=k+U
=mgx+mg(h-x)=mgh …..(2)

At point C
(on the ground):

Let the velocity Aquired by the body on reaching the ground be v.Then

u=0, S=h, a=g
From Equation v²=u²+2as
v²=0+2gh
v²=2gh
or
Kinetic Energy K=½mv²
=½m×(2ghx)=mgh
and potential energy U=0 (at the ground when h=0)
Hence total energy =K+U =mgh+0=mgh….(3).

APLICATION OF PRINCIPLE OF CONSEVATION OF ENERGY TO A SIMPLE PENDULUM.

The simple pendulum demonstrates the principle of conservation of energy, where energy continuously transforms between potential and kinetic forms, with the total energy remaining constant in an ideal scenario. At the highest point of its swing, the pendulum has maximum potential energy and zero kinetic energy. As it swings downwards, potential energy converts to kinetic energy, reaching maximum kinetic energy and zero potential energy at the lowest point. This cycle repeats as the pendulum swings back up, with kinetic energy transforming back into potential energy.

–: End of conservation of Energy ICSE Class 10 Physics Notes about conservation of energy and simple pendulum. :–

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