IGCSE Physics 1.6 — Momentum Numericals (Questions)

IGCSE Physics 0625 · Section 1.6 · Momentum — Numerical Question Bank (no answers) · Extended only

Momentum — Numerical Practice Extended only

Covers: p = mv, impulse (FΔt = Δ(mv)), F = Δp/Δt, and the conservation of momentum. This entire syllabus section is Extended-only. 18 questions.

A. Basic Momentum

A1

Calculate the momentum of a 5 kg object moving at 4 m/s.

A2

An object has a momentum of 150 kg m/s and a mass of 30 kg. Calculate its velocity.

A3

An object has a momentum of 84 kg m/s at a velocity of 12 m/s. Calculate its mass.

A4

Compare the momentum of a 2000 kg car travelling at 3 m/s with a 60 kg cyclist travelling at 8 m/s. Which has more momentum?

A5

A bullet of mass 0.01 kg travels at 400 m/s. Calculate its momentum.

B. Impulse and Force

B1

A force of 50 N acts for 0.2 s. Calculate the impulse produced.

B2

An impulse of 30 kg m/s is applied to an object over 0.05 s. Calculate the average force.

B3

A 0.4 kg ball is hit by a bat, changing its velocity from 2 m/s to 18 m/s in 0.01 s. Calculate the average force exerted by the bat.

B4

A resultant force of 25 N acts on an object for 4 s. Calculate the change in momentum produced.

B5

Explain, using F = Δp/Δt, why bending your knees when landing from a jump reduces the force on your legs.

C. Conservation of Momentum

C1

A 2 kg trolley moving at 5 m/s collides with a stationary 3 kg trolley, and they stick together. Calculate their combined velocity.

C2

A 4 kg trolley moving at 6 m/s collides with a stationary 2 kg trolley. After the collision, the 4 kg trolley moves at 3 m/s. Calculate the velocity of the 2 kg trolley.

C3

A 1 kg ball moving at 8 m/s to the right collides head-on with a 1 kg ball moving at 4 m/s to the left, and they stick together. Calculate their combined velocity, stating its direction.

C4

A 40 kg cannon, initially at rest, fires a 1 kg cannonball at 100 m/s. Calculate the recoil velocity of the cannon.

C5

A 3.5 kg rifle fires a 0.025 kg bullet at 350 m/s. Calculate the recoil speed of the rifle.

C6

Two ice skaters, of mass 50 kg and 70 kg, push off from rest. The 50 kg skater moves away at 2.8 m/s. Calculate the speed of the 70 kg skater.

C7

A 1500 kg car moving at 20 m/s collides with a stationary 1000 kg car, and they lock together. Calculate their combined velocity.

C8

A 3000 kg truck moving at 10 m/s collides with a stationary 1000 kg car. After the collision, the truck continues at 7 m/s. Calculate the velocity of the car after the collision.

Mastery Test

Attempt all 10 without checking the solutions file first — covering the whole topic.
M1

Calculate the momentum of an 8 kg object moving at 3 m/s.

M2

An object has a momentum of 200 kg m/s and a mass of 25 kg. Calculate its velocity.

M3

A force of 40 N acts for 0.5 s. Calculate the impulse produced.

M4

A change in momentum of 15 kg m/s occurs over 0.03 s. Calculate the average force involved.

M5

A 3 kg trolley moving at 4 m/s collides with a stationary 1 kg trolley, and they stick together. Calculate their combined velocity.

M6

A 5 kg cart moving at 6 m/s collides with a stationary 5 kg cart, and they stick together. Calculate their combined velocity.

M7

A 60 kg canoeist, initially at rest in a 20 kg canoe (also at rest), jumps off the front of the canoe at 1.5 m/s. Calculate the velocity of the canoe.

M8

Explain why momentum is described as a vector quantity.

M9

A 2 kg ball moving at 6 m/s to the right collides head-on with a 2 kg ball moving at 6 m/s to the left, and they stick together. Calculate their combined velocity after the collision.

M10

State the principle of conservation of momentum.

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