What is Law of Conservation of Energy in Physics

Law of Conservation of Energy

 

Law of Conservation of Energy

 

Statement:

 

The law of conservation of energy states that “Energy may neither be created nor destroyed, it can only change shape”

 

Explanation:

Consider a body of mass “m” at height “h” above the ground. Its kinetic energy

 

at that point A is:

 

K.E = 1/2(mv2)

 

K.E = 1/2 m * (o)

 

K.E = o…………..(i)

 

The potential Energy at point A is:

 

P.E = mgh …………(ii)

 

So the total energy at point A will be:

 

T.E = K.E + P.E

 

E(A) = O + mgh

 

E(A) = mgh

 

 

Suppose the body is released from this height and falls through a distance x. Its new height will be (h-x]. The velocity with which it reaches point B is calculated by using the third equation of motion:

 

2gs = Vf2 – Vi2

 

As we know:

 

Vi = 0

S = x

 

Therefore,

2gx = Vf2 – 0

2gx = v2

 

The kinetic energy at point B is:

 

K.E. = 1/2 mv2

 

Substituting the value of v2:

 

K.E.= 1/2*m * 2gx

 

K.E = mgx

 

The Potential Energy at point B is:

 

P.E = mgh

 

The height of the body is (h-x):

 

P.E. = mg(h-x)

 

The total energy at point B is: y

 

E(B) = PE + K.E.

 

E(B) = max + mg(h-x)

E(B) = mgx + mgh -mgx

 

E(B) = mgh

 

Hence, the total energy at point A and B are some. It means that the total value of energy remains constant.

 

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