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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