💬 Work becomes capacity

A thrown ball knocks over a wicket; a raised flowerpot can smash something if it falls. Where did they get the ability to do that?

What is the work-energy theorem?
Work-Energy Theorem
Work
done on the object by a force
Energy
the object's capacity to do work
Work done on an object = change in its energy  (7.3). Positive work adds energy; negative work takes it away.
  • An object that can do work is said to possess energy . A thrown ball gains energy from the work done in throwing it; a raised pot from the work done in lifting it.
  • When positive work is done on an object, it gains energy; it can then transfer that energy to another object.
  • Work-energy theorem: work done on an object appears as a change in its energy. work done on an object = change in its energy
  • It holds for a system of objects and even for non-constant forces. The SI unit of energy is the same as of work — the joule (J) .
Important Definitions
  • Energy — the capacity of an object to do work.
  • Work-energy theorem — the work done on an object (or system) is equal to the change in its energy.
🔬 Meet a Scientist
  • The SI unit of work and energy, the joule , is named after James Prescott Joule . He studied how mechanical energy and thermal energy are related and can be converted from one to the other, helping build a unified understanding of energy.
✎ Example 7.3 — In a game of carrom,

In carrom, the striker hits the white coin, which hits the black coin. Who does work, and how does energy change at each collision?

The moving striker pushes the white coin in its direction of displacement, so the striker does positive work on the white coin (its energy increases). By Newton's third law the white coin does negative work on the striker (its energy decreases).

Likewise, the white coin does positive work on the black coin (energy increases), and the black coin does negative work on the white coin (energy decreases).

🔹 Ready to Go Beyond
  • Doing mechanical work is one way to transfer energy, but not the only one. Energy can also be transferred as heat (from a hotter to a colder object), by radiation (the Sun to the Earth), in electric circuits , via sound waves , and in nuclear reactions .
❓ Test Yourself
  1. State the work-energy theorem.
    Show Answer Hide Answer
    The work done on an object (or a system) is equal to the change in its energy.
  2. What is energy?
    Show Answer Hide Answer
    An object having the capacity to do work is said to possess energy. Its SI unit is the joule (J), the same as work.
  3. A fielder throws a cricket ball and it knocks the wickets over. Where did the ball's energy come from?
    Show Answer Hide Answer
    From the positive work the fielder did on it while throwing it.
  4. Does the work-energy theorem hold when the forces are not constant?
    Show Answer Hide Answer
    Yes — it holds for a system of objects and even when the applied forces are not constant.
Remove Ads
Teachoo · Class 9 Explore Class 9
CA Maninder Singh's photo - Co-founder, Teachoo

Made by

CA Maninder Singh

CA Maninder Singh is a Chartered Accountant with 16+ years of practical experience and 20+ years of teaching experience. At Teachoo, he simplifies Accounts, Tax and GST with step-by-step examples so students can apply concepts confidently in exams and real life.

For an uninterrupted learning experience, students can use Teachoo Black to remove ads and focus better.