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=>State law of conservation of energy.
Answers
Eg: A number of electrical and mechanical devices operate solely on the law of conservation of energy.
1.In a microphone, sound energy is converted into electrical energy.
2.In a loudspeaker, electrical energy is converted into sound energy.
3.In a generator, mechanical energy is converted into electrical energy.
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Question: State law of conservation of energy.
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Law of Conservation of Energy
Law of conservation of energy states that Energy cannot be created nor destroyed, it can only be transformed from one form to another.
Examples
Energy in a speaker is converted from Electrical Energy to Sound energy.
Energy in a Cycle is converted from Muscular energy to Mehcanical energy.
Verification
Consider an object of mass 'm' at a height 'h', from the ground with 'g' as 10m/s. Let us consider the energy shown by the object at three stages A, B and C
[Refer Picture for Heights]
Total energy at A
Ep = mgh
Ek = 0 [Since object is at rest]
Total Energy = Ek + Ep
Te = 0 + mgh
→ 1
Total Energy at B
Ep = mgh
Ep = mg[h - x]
Ek = mv²
According to the 3rd law of motion,
v² - u² = 2as
v² = 2as + u²
Here, u = 0 , a = g, s = x. Substituting these values we get
v² = 2gx
Substituting this value in Ek we get,
Ek = mv²
Ek = m × 2gx
2 and 2 get cancelled.
Ek = mgx
Total Energy = Ep + Ek
Te = mg [h - x] - mgx
Te = mgh - mgx - mgx [mgx is cancelled]
→ 2
Total Energy at C
Ep = 0
Ek = mv²
According to 3rd Law of Motion,
v² - u² = 2as
v² = 2as - u²
Here, u = 0 , a = g, s = h. Substituting these values we get
v² = 2gh
Substituting this value in Ek we get,
Ek = mv²
Ek = m × 2gh
2 and 2 get cancelled.
Ek = mgh
Total Energy = Ep + Ek
Te = 0 + mgh
→ 3
Conclusion
From 1, 2 and 3 we can say the, energy is the same at all three stages.
Therefore Law of Conservation of Energy is verified!
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Remember, Law of conservation of energy cannot be proved, but only verified!
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Hope It Helps!
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