Question

What is the Derivation of Law of conservation of Energy??

Please tell me...!!

Answer 1

Answer:

Considering the potential energy at the surface of the earth to be zero. Let us see an example of a fruit falling from a tree. Consider a point A, which is at height 'H' from the ground on the tree, the velocity of the fruit is zero hence potential energy is maximum there.

Explanation:

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Answer 2

$\bold\blue{LAW \: OF \: CONSERVATION \: OF \: ENERGY}$

• Law of conservation of energy states that the energy can be neither be created nor be destroyed but can be transformed from one form to the another.

$\sf\bold\red{DERIVATION \:}$

At A,

PE = mgh

KE = 0

Total energy at A = PE + KE

Total energy at A = mgh ---------(i)

At B,

PE = mgh

mg(h - x)

PE = mgh - mgx

KE = 1/2 mv²

Here,

u = 0, a = g, and s = x.

KE = mgx.

Total energy at B = mgh --------- (ii)

Now

At C,

PE = m × g × 0

PE = 0

KE = 1/2 mv².

Here,

u = 0, a = g, s = h.

KE = 1/2 mv²

KE = mgh

Total energy at C = mgh ---------- (iii)

$\therefore$ We can say that the total energy of body remains constant at every point.

•°• HENCE DERIVED ✔︎