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Principle of conservation of momentum, Meaning (SPM Physics)

The principle that the total momentum of a system remains constant in the absence of an external force, so total momentum before a collision equals total momentum after.

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EnglishPrinciple of conservation of momentum
Bahasa MelayuPrinsip keabadian momentum
中文动量守恒定律

Definition

The principle that the total momentum of a system remains constant in the absence of an external force, so total momentum before a collision equals total momentum after.

Force and Motion I

In exam terms

The principle of conservation of momentum states that when no external force acts on a system, its total momentum stays constant. In a collision or explosion this means the total momentum of the objects before the event equals the total momentum after it.

Momentum is a vector measured in kg m s⁻¹, so direction matters: take one direction as positive and the opposite as negative. For two objects the working is written as m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂.

For example, a 2 kg trolley at 3 m s⁻¹ striking a stationary 1 kg trolley gives total momentum before = 2 kg × 3 m s⁻¹ + 0 = 6 kg m s⁻¹, which the two must share after the collision.

Do not confuse it with…

Do not confuse conservation of momentum with conservation of kinetic energy. Momentum is conserved in every collision where no external force acts, but kinetic energy is only conserved in a perfectly elastic collision.

In an inelastic collision (objects sticking together) momentum is still conserved while some kinetic energy is changed into heat and sound.

In Paper 2 this is usually asked as state the principle of conservation of momentum, or calculate the common velocity after collision. Always show the before and after momentum expressions and keep a consistent positive direction, otherwise the sign of the answer will be wrong.

Source: DSKP KSSM Physics Form 4 and 5 (Versi English) (Bahagian Pembangunan Kurikulum (BPK), KPM)

Frequently asked questions

When is momentum not conserved?
When an external force acts on the system, such as friction or an applied push during the collision. In SPM problems you usually treat the collision as isolated, so total momentum before equals total momentum after.
Why can total momentum be zero after an explosion?
If the objects start at rest the total momentum is zero, and it must stay zero. So the pieces fly off in opposite directions with equal and opposite momenta that cancel out.
How do I handle direction in a collision problem?
Choose one direction as positive before you start. Give velocities in the opposite direction a negative sign, then substitute into m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂ and keep the signs throughout.

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