☰ Contents · Physics

Elastic force

Lessons 24 · 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
24

Elastic force

Textbook: pp. 88–92
GoalKnow types of deformation, elastic force and Hooke’s law F = kΔl.
New words
deformation · deformatsiyaelastic force · elastiklik kuchistiffness k · bikirlik kHooke’s law · Guk qonuni
Explanation

A change in a body’s shape or size under an external force is called deformation. Types: stretching, compression, bending, shear and torsion. If the body returns to its former shape when the force is removed the deformation is elastic; if not, it is plastic. A deformed body develops an elastic force that tends to restore its former state; it is directed against the deformation. Hooke’s law: for small elastic deformations the magnitude of the elastic force is directly proportional to the elongation (compression): F = kΔl, where k is the stiffness, unit N/m, and Δl is the elongation in metres. Stiffness depends on the material, size and shape of the body. The support reaction holding a book on a table and the tension of a string holding a hanging load are also elastic forces.

Worked examples
A spring with k = 40 N/m stretched by Δl = 0.05 m gives F = 40 · 0.05 = 2 N.
If a 6 N force stretches a spring by 0.03 m, k = F/Δl = 6 : 0.03 = 200 N/m.
Class activity

“Measure the stretch”: hang a light load on a soft elastic band or spring and measure the extension with a ruler; check that doubling the load doubles the extension. Safety: do not hold loads over your feet; never let a stretched spring snap back.

Practice
1
State Hooke’s law and write its formula.
2
k = 100 N/m, Δl = 0.2 m. F (N)?
3
F = 12 N, Δl = 0.03 m. k (N/m)?
4
Why does a table push on a book though it seems not to bend?