☰ Contents · Physics

Momentum

Lessons 36 · 1 lessons · P.Q. Habibullayev, A. Boydedayev, A.D. Bahromov, S.O. Burxonov. Physics Grade 7, revised and enlarged 4th edition. “O‘zbekiston milliy ensiklopediyasi” State Scientific Publishing House, Tashkent, 2017
36

Momentum

Textbook: pp. 130–134
GoalKnow momentum p = mυ, impulse of force FΔt and the link between them.
New words
momentum of a body · jism impulsiimpulse of a force · kuch impulsikilogram metre per second · kg·m/snewton second · N·s
Explanation

The vector equal to the product of a body’s mass and velocity is its momentum: p = mυ. Momentum points the same way as the velocity; its unit is kg·m/s. The product of a force and the time it acts is the impulse of the force: FΔt, with unit N·s (1 N·s = 1 kg·m/s). From Newton’s second law F = ma = m(υ − υ₀)/Δt, so FΔt = mυ − mυ₀: the impulse of the force equals the change in the body’s momentum. So the same change of momentum can be achieved by a smaller force acting for longer: that is why we bend our knees on landing, and a car airbag lengthens the impact time and reduces the force.

Worked examples
m = 2 kg, υ = 5 m/s: p = 2 · 5 = 10 kg·m/s.
F = 20 N, Δt = 0.5 s: FΔt = 20 · 0.5 = 10 N·s; a 3 kg body’s momentum changes by 10 kg·m/s, so its velocity changes by 10 : 3 ≈ 3.3 m/s.
Class activity

“Soft landing”: discuss dropping a soft ball on a hard floor and onto a cushion — in which case the stopping time is longer and the force smaller. Safety: do not jump from heights.

Practice
1
What is momentum? Give its formula and unit.
2
m = 4 kg, υ = 6 m/s. p (kg·m/s)?
3
A force of 50 N acts for 0.2 s. Impulse of force (N·s)?
4
Why bend your knees when landing from a jump?