Topic 7: Law of Conservation of Energy (Imp)

Law of Conservation of Energy

The law of conservation of energy states that energy can neither be created nor destroyed, but it can be converted from one form to another.

Explanation of the Law

The total energy of an isolated system remains constant. Although energy changes its form, the total amount of energy before and after the change remains the same.

Mathematical Explanation (Mechanical Energy)

Mechanical energy is the sum of kinetic energy and potential energy.

Total Mechanical Energy = KE + PE

At height h:

PE = m g h , KE = 0

At ground level:

PE = 0 , KE = (1/2) m v2

Thus, total energy remains constant.

Conditions for Conservation of Energy

  • No external force should act on the system
  • Friction should be absent or negligible

Examples of Conservation of Energy

  • Free fall of a body
  • Motion of a pendulum
  • Water falling from a dam

Energy Transformations

  • Potential energy → Kinetic energy
  • Chemical energy → Electrical energy
  • Electrical energy → Light energy
Q1. The law of conservation of energy states that energy:
A) Can be created
B) Can be destroyed
C) Can neither be created nor destroyed
D) Always remains kinetic

Answer: C


Q2. Total mechanical energy is the sum of:
A) Force and power
B) Work and power
C) Kinetic and potential energy
D) Heat and light energy

Answer: C


Q3. During free fall of a body, which energy conversion takes place?
A) KE to PE
B) PE to KE
C) Heat to KE
D) Electrical to KE

Answer: B


Q4. Law of conservation of energy is valid when:
A) External force acts
B) Friction is very high
C) No external force acts
D) Mass changes

Answer: C


Q5. At the highest point of motion of a freely falling body, its:
A) KE is maximum
B) PE is zero
C) KE is zero
D) Total energy is zero

Answer: C


Q6. Which of the following follows conservation of energy?
A) Motion with friction
B) Isolated system
C) Open system
D) System with energy loss

Answer: B


Q7. In a pendulum, energy continuously changes between:
A) Heat and sound
B) KE and PE
C) Chemical and electrical
D) Light and heat

Answer: B


Q8. Which statement is correct?
A) Energy can be destroyed
B) Energy can be created
C) Energy only changes form
D) Energy always remains constant in one form

Answer: C

Chapter 3: Work, Energy & Power

Topic 7: Law of Conservation of Energy – Quick Revision

1. Statement

Energy can neither be created nor destroyed, but it can be converted from one form to another.

2. Mechanical Energy

Mechanical energy = Kinetic energy + Potential energy

3. Energy During Free Fall

  • At height → PE maximum, KE zero
  • At ground → KE maximum, PE zero
  • Total energy remains constant

4. Conditions

  • No external force
  • Negligible friction

5. Examples

  • Free falling body
  • Simple pendulum
  • Water from dam

Exam Focus (MHT-CET)

MCQs and numericals are asked on energy conversion and conservation of mechanical energy.


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