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Potential energy

Lessons 41 · 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
41

Potential energy

Textbook: pp. 152–154
GoalKnow potential energy E_p = mgh and the energy of a deformed spring; understand the link between energy and work.
New words
energy · energiyapotential energy · potensial energiyazero level · nol sathelastic deformation energy · elastik deformatsiya energiyasi
Explanation

The quantity describing a body’s ability to do work is called energy; its unit is the joule (J). Energy that depends on the mutual positions of bodies or of parts of a body is potential energy. For a body of mass m raised to a height h in the Earth’s gravity field E_p = mgh, where h is measured from a zero level (chosen freely, so what matters is the change in E_p, not E_p itself). When the body falls, gravity does work and the potential energy decreases by that amount. A stretched or compressed spring also has potential energy: the more it is deformed, the more work it can do. The work done in lifting a body equals the increase of its potential energy.

Worked examples
A 3 kg body at 5 m (g = 10): E_p = 3 · 10 · 5 = 150 J.
A 2 kg body falls from 10 m to 4 m (g = 10): E_p drops from 200 J to 80 J, and gravity does 200 − 80 = 120 J of work.
Class activity

“Choose the zero level”: compute a book’s potential energy on a table relative to the table and relative to the floor and compare. Safety: do not drop the book on feet.

Practice
1
What is the formula for potential energy?
2
m = 2 kg, h = 15 m (g = 10). E_p (J)?
3
E_p = 400 J, h = 8 m (g = 10). m (kg)?
4
Why does potential energy depend on the zero level, but its change does not?