The chapter Work and Energy introduces two important physical quantities—work and energy, and their relationship with force and motion. It discusses conditions for work to be done, positive/negative/zero work, power and commercial units of energy, and types of mechanical energy—kinetic and potential. It also derives formulas related to work, energy, and power, and explores the Law of Conservation of Energy. The chapter connects physics to real-life examples like climbing stairs, running machines, and energy consumption.
II. Key Concepts Covered:
Concept
Description
Work
Done when a force causes displacement: W=F⋅d⋅cosθW = F cdot d cdot costhetaW=F⋅d⋅cosθ
Positive/Negative/Zero Work
Depends on the angle between force and displacement
Kinetic Energy (K.E.)
Energy due to motion: KE=12mv2KE = frac{1}{2}mv^2KE=21mv2
Potential Energy (P.E.)
Energy due to position: PE=mghPE = mghPE=mgh
Work-Energy Theorem
Work done = Change in kinetic energy
Power
Rate of doing work: P=WtP = frac{W}{t}P=tW
Commercial Unit of Energy
1 kilowatt-hour (kWh) = 3.6 × 10⁶ joules
Law of Conservation of Energy
Energy can neither be created nor destroyed, only transformed
III. Important Questions:
(A) Multiple Choice Questions (1 Mark):
Which of the following is not a unit of work? a) joule b) erg c) newton ✅ d) kWh
Work done is zero when: a) Object is displaced b) Force and displacement are perpendicular ✅ c) Force is applied d) Object moves in direction of force
The commercial unit of energy is: a) Joule b) Erg c) kWh ✅ d) Watt
The SI unit of power is: a) Watt ✅ b) Joule c) Newton d) kg·m/s²
(B) Short Answer Questions (2/3 Marks):
A boy pushes a wall but fails to move it. How much work is done? Why?
Define 1 joule of work.
A body of mass 2 kg is moving with velocity 4 m/s. Find its kinetic energy.
Define power and write its SI unit. – PYQ 2021
(C) Long Answer Questions (5 Marks):
Derive the expression for kinetic energy.
A pump lifts 1000 kg of water to a height of 10 m in 50 seconds. Calculate: a) Work done b) Power used – PYQ 2020
Explain the law of conservation of energy with an example.
Compare commercial and SI units of energy. Calculate energy consumed by a 500 W appliance used for 4 hours. – PYQ 2022
(D) HOTS (Higher Order Thinking Skills):
A man carries a bag on his head and walks on a horizontal road. Is work being done? Explain why or why not.
Two boys of same weight run up a staircase. One does it in 30 seconds, the other in 20 seconds. Who uses more power and why?