Question

explane law of conservation of energy.prove that total energy is constant.how many joules from 1. kwhr​

Answer 1

Answer:

The law of conservation of energy states that energy can neither be created nor destroyed - only converted from one form of energy to another. This means that a system always has the same amount of energy, unless it's added from the outside.

Explanation:

Let the particle be at the mean position initially.

Thus it's displacement can be written as x=Asinwt

Potential energy of the particle performing SHM P.E=

2

1

kx

2

Kinetic energy of the particle K.E=

2

1

mv

2

Or K.E=

2

1

m(w

A

2

−x

2

)

2

=

2

1

mw

2

(A

2

−x

2

)

Using k=mw

2

, we get K.E=

2

1

k(A

2

−x

2

)

Total energy of the particle T.E=K.E+P.E

∴ T.E=

2

1

k(A

2

−x

2

)+

2

1

kx

2

⟹ T.E=

2

1

kA

2

= Constant

Hence total energy of the particle performing SHM is conserved..