Topic 9: Law of Conservation of Momentum (Imp)

Law of Conservation of Momentum

The law of conservation of momentum states that when no external force acts on a system, the total momentum of the system remains constant.

Explanation of the Law

If two or more bodies interact with each other, the total momentum before interaction is equal to the total momentum after interaction, provided no external force acts on the system.

Mathematical Expression

Consider two bodies of masses m1 and m2 moving with initial velocities u1 and u2.

Total momentum before interaction:

m1u1 + m2u2

After interaction, let their velocities be v1 and v2.

Total momentum after interaction:

m1v1 + m2v2

According to the law:

m1u1 + m2u2 = m1v1 + m2v2

Conditions for Conservation of Momentum

  • No external force acts on the system
  • System is isolated

Examples of Conservation of Momentum

  • Recoil of a gun
  • Collision of two balls
  • Explosion of a bomb
Q1. The law of conservation of momentum is valid when:
A) External force is maximum
B) External force is zero
C) Internal force is zero
D) Bodies are at rest

Answer: B


Q2. Momentum of a system remains constant if the system is:
A) Closed
B) Open
C) Isolated
D) Moving

Answer: C


Q3. Which of the following obeys the law of conservation of momentum?
A) Falling stone
B) Motion under gravity
C) Collision of two balls
D) Motion with friction

Answer: C


Q4. In the absence of external force, total momentum:
A) Increases
B) Decreases
C) Remains constant
D) Becomes zero

Answer: C


Q5. Recoil of a gun is explained by:
A) Newton’s first law
B) Newton’s second law
C) Newton’s third law
D) Conservation of momentum

Answer: D


Q6. Before and after interaction, total momentum of a system is:
A) Different
B) Zero
C) Same
D) Infinite

Answer: C


Q7. Which condition is necessary for conservation of momentum?
A) Constant velocity
B) Constant acceleration
C) No external force
D) Same mass

Answer: C


Q8. Explosion of a bomb is an example of:
A) Law of inertia
B) Newton’s second law
C) Conservation of energy
D) Conservation of momentum

Answer: D

Chapter 2: Laws of Motion

Topic 9: Law of Conservation of Momentum – Quick Revision

1. Statement

If no external force acts on a system, the total momentum of the system remains constant.

2. Condition

System must be isolated (no external force).

3. Formula

m1u1 + m2u2 = m1v1 + m2v2

4. Key Points

  • Total momentum before interaction = total momentum after interaction
  • Valid only in absence of external force

5. Examples

  • Recoil of a gun
  • Collision of bodies
  • Explosion of a bomb

Exam Focus (MHT-CET)

Numericals and MCQs are frequently asked on conservation of momentum in collisions and explosions.


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