ParhaiKrlo
9th Class Physics · Punjab Board · Chapter 5

Chapter 5: Work, Energy and PowerLong Questions with Answers

11 long (comprehensive) questions of 9th Class Physics Chapter 5, Work, Energy and Power, answered in full with headings, diagrams and tables, including important board-paper questions beyond the book. Punjab Board new syllabus.

Chapter 5· Work, Energy and Power

Long Questions with Answers

Long answers, explained in full with headings. Learn the structure: definition, explanation, diagram or table, example.

Set A: Textbook comprehensive questions 5 questions

The long questions at the end of the chapter in your book.

Long Q 5.1

What is meant by kinetic energy? State its unit. Describe how it is determined.

Answer

Definition

Definition
Kinetic energy

The energy a body has because of its motion. SI unit: joule (J).

Principle

A moving body can do work as it is brought to rest. So its kinetic energy equals the work done by the force that stops it.

Derivation

  1. A body of mass m moves with speed v. A steady opposing force F stops it over a distance S, so Ek = F × S ...(i)
  2. By Newton's second law, F = ma, where a is the deceleration.
  3. The speed falls uniformly from v to 0, so the average speed is v/2 and S = (v/2) × t.
  4. Putting these in (i): Ek = ma × (v/2) × t ...(ii)
  5. From the velocity-time graph, a = v/t. Putting this in (ii): Ek = m × (v/t) × (v/2) × t = ½mv².
Ek = ½mv²

Example

Worked exampleA 0.05 kg bullet at 300 m s⁻¹
  1. Ek = ½ × 0.05 × 300².

Answer2250 J

Conclusion

Kinetic energy depends on mass and on the square of the speed.

Long Q 5.2

State the law of conservation of energy. Explain it with the help of a body falling from a certain height, in terms of its potential and kinetic energy.

Answer

Statement

Definition
Law of conservation of energy

Energy can neither be created nor destroyed; it can only change from one form to another, and the total amount stays constant.

Diagram

ABCxhA: Ep = mgh, Ek = 0B: Ep = mgx,Ek = mg(h − x)C: Ep = 0, Ek = mgh
A body of mass m falls from A at height h, through B at height x, to C on the ground.

At point A (top)

The body is at rest, so Ek = 0 and Ep = mgh. Total = mgh.

At point B (height x)

Ep = mgx. It has fallen h − x, so v² = 2g(h − x) and Ek = ½mv² = mg(h − x). Total = mgx + mg(h − x) = mgh.

At point C (ground)

Ep = 0. It has fallen h, so v² = 2gh and Ek = ½m(2gh) = mgh. Total = mgh.

PointEpEkTotal
Amgh0mgh
Bmgxmg(h − x)mgh
C0mghmgh
Conclusion

Potential energy changes into kinetic energy, but the total stays mgh. On hitting the ground the kinetic energy becomes heat and sound; in real falls some energy also goes into air resistance.

Long Q 5.3

Differentiate between renewable and non-renewable sources of energy. Give three examples of each.

Answer

Renewable sources

Definition
Definition

Sources that are replaced naturally after use and will not run out.

Rain and snow keep refilling the reservoirs of dams, the Sun keeps shining and the wind keeps blowing, so these sources last.

Non-renewable sources

Definition
Definition

Sources that are used up and cannot be replaced in a human lifetime.

Coal, oil and gas formed from plants and animals buried for millions of years. The stock is limited; once used, it takes millions of years to form again.

Differences

RenewableNon-renewable
Replaced naturallyNot replaced in our lifetime
Will not run outWill run out
Usually cleanFossil fuels pollute and add CO₂
Solar, wind, hydroelectric (also tidal, geothermal, biomass)Coal, oil, natural gas (also nuclear fuel)
Conclusion

Pakistan has strong sunshine and wind along the coast, so solar and wind power can reduce our dependence on imported oil.

Long Q 5.4

Explain what is meant by the efficiency of a machine. How is it calculated? Why is there a limit to the efficiency of a machine?

Answer

Definition

Definition
Efficiency

The ratio of the useful output energy of a machine to the total energy put into it.

Formula

Efficiency = (useful output energy ÷ total input energy) × 100%
Efficiency = (useful power output ÷ total power input) × 100%

Diagram

input energy (100%)useful output (70%)wasted as heat and sound (30%)efficiency = useful output ÷ input × 100%
Input energy splits into useful output and wasted energy.

Example

Worked exampleA motor uses 1000 J and lifts a load, giving it 700 J of potential energy
  1. Efficiency = 700 ÷ 1000 × 100.

Answer70%; 300 J is wasted

Why there is a limit

  • In every machine, moving parts rub, and friction turns some energy into heat.
  • Some energy is lost as sound and vibration.
  • So the useful output is always less than the input, and efficiency is always below 100%.
  • For the same reason a perfect (perpetual-motion) machine that runs for ever without input cannot be built.
Conclusion

Efficiency can be raised (by lubrication, for example) but never to 100%.

Long Q 5.5

Describe the process of electricity generation by drawing a block diagram of the process in the following cases: (i) hydroelectric power generation (ii) fossil fuels.

Answer

(i) Hydroelectric power

Water stored behind a dam at a height has gravitational potential energy. It flows down through tunnels (penstocks), gaining kinetic energy, and turns the blades of a turbine. The turbine turns a generator, which produces electrical energy.

(ii) Fossil fuels

Coal, oil or gas is burnt in a furnace. The heat boils water in a boiler to make high-pressure steam. The steam turns a turbine, which turns a generator to produce electricity. The steam is cooled, condensed back to water and used again.

Block diagrams

Hydroelectric powerWater held high in a dam (P.E.)Water falls through tunnels (K.E.)Turbine spinsGeneratorElectrical energyFossil-fuel power stationCoal, oil or gas burnt (heat)Water boiled into steamSteam spins the turbineGeneratorElectrical energy
Left: hydroelectric. Right: fossil-fuel power station.
HydroelectricFossil fuel
Starting energyGravitational potential energy of waterChemical energy of fuel
What turns the turbineFalling waterSteam
Renewable?YesNo
PollutionNone in useSmoke and CO₂
Conclusion

In both, a turbine turns a generator; only the way the turbine is driven differs.

Set B: More important long questions 6 questions

Long questions often set in board papers from this chapter, answered in the same full style.

Imp. LQ 1

Define work. Explain W = FS cos θ, and the cases in which work is positive, zero and negative.

Answer

Definition

Definition
Work

Work is done when a force moves a body through a distance in the direction of the force. SI unit: joule.

Force at an angle

If the force F acts at an angle θ to the displacement S, resolve F into F cos θ along the motion and F sin θ at right angles to it. Only F cos θ moves the body, so:

W = (F cos θ) × S = FS cos θ
F = 65 N30°moves S = 20 m along the floor
Pulling a suitcase at 30°: only F cos 30° does work.

Positive, zero and negative work

CaseAngleExample
Positive work0° ≤ θ < 90°Pulling a trolley forward
Zero workθ = 90°Carrying a bag on a level road; gravity on a satellite
Negative work90° < θ ≤ 180°Friction on a sliding box; brakes on a car
Worked exampleA 20 N force at 60° pulls a box 3 m
  1. W = 20 × 3 × cos 60° = 20 × 3 × 0.5.

Answer30 J

Imp. LQ 2

What is power? Write its units and show that power = force × velocity.

Answer

Definition

Definition
Power

The rate of doing work: P = W ÷ t.

Units

  • watt: 1 W = 1 J s⁻¹
  • kilowatt: 1 kW = 10³ W
  • megawatt: 1 MW = 10⁶ W

Power in terms of force and velocity

  1. P = W ÷ t, and W = F × S.
  2. So P = F × S ÷ t.
  3. S ÷ t = v, the speed.
  4. Therefore P = Fv.
P = Fv

Example

Worked exampleA 40 kg boy runs up stairs 10 m high in 8 s
  1. Work = mgh = 40 × 10 × 10 = 4000 J.
  2. P = 4000 ÷ 8.

Answer500 W

Conclusion

The same work done in less time means more power.

Imp. LQ 3

What is potential energy? Derive Ep = mgh and describe the types of potential energy.

Answer

Definition

Definition
Potential energy

The energy a body has because of its position or deformation.

Derivation of gravitational potential energy

  1. Lift a body of mass m at constant speed from the ground to a height h.
  2. The force needed equals its weight: F = mg.
  3. Work done = F × h = mgh.
  4. This work is stored in the body as gravitational potential energy.
Ep = mgh

Types

TypeStored byExample
GravitationalHeight above the reference levelWater in a dam
ElasticStretching or compressingA wound clock spring, a bow
ChemicalArrangement of atoms in moleculesFood, petrol, batteries

Reference level

Height is measured from a chosen level (usually the ground), so potential energy is always relative to that level.

Worked exampleA 0.18 kg ball raised 12 m
  1. Ep = 0.18 × 10 × 12.

Answer21.6 J

Imp. LQ 4

Explain energy transformations with examples from daily life.

Answer

Meaning

Energy is useful because it can change from one form to another. In every change the total energy stays the same, though some becomes heat that cannot be used again.

Examples

Device or processEnergy change
PhotosynthesisLight → chemical (food)
Our bodyChemical (food) → kinetic + heat
Electric bulbElectrical → light + heat
Electric motor, fanElectrical → kinetic
Generator, dynamoKinetic → electrical
LoudspeakerElectrical → sound
Solar cellLight → electrical
Car engineChemical → heat → kinetic
Bow and arrowElastic potential → kinetic
ABCPEKEPEKEPEKE
A coasting cyclist: potential energy ↔ kinetic energy.
Conclusion

Energy is never lost, but some is always wasted as heat.

Imp. LQ 5

Describe solar energy. How are solar cells and solar panels used? Give the advantages and disadvantages of solar energy.

Answer

Solar energy

Definition
Definition

The energy we get from sunlight. The Sun is the biggest source of energy for the Earth.

Uses of solar energy

  • Solar heaters and cookers: black surfaces absorb sunlight to heat water or cook food.
  • Solar cells (photovoltaic cells): change light directly into electricity.
  • Solar panels: one cell gives a very small voltage, so many cells are joined in series to give a useful voltage, for homes, street lights, tube wells and calculators.

Advantages

  • Free and renewable.
  • No pollution or noise.
  • Useful in remote villages far from power lines.

Disadvantages

  • No output at night and little on cloudy days.
  • Panels and batteries are costly.
  • Large areas are needed for large amounts of power.
Conclusion

Pakistan gets strong sunshine most of the year, so solar energy is a good choice here.

Imp. LQ 6

Explain nuclear, geothermal, wind, tidal and biomass energy, with one advantage and one disadvantage of each.

Answer

Nuclear energy

When the nucleus of a heavy atom such as uranium splits (fission), a large amount of heat is released. It boils water into steam to drive turbines.

Geothermal energy

Deep underground the rocks are very hot. Water pumped down turns into steam, which comes up to drive turbines.

Wind energy

Moving air turns the large blades of a wind turbine, which drives a generator.

Tidal and wave energy

The Moon's pull makes the sea rise and fall twice a day. Water flowing in and out through a barrage turns turbines; waves can also drive generators.

Biomass energy

Wood, crop waste and animal dung are burnt for heat, or allowed to rot in a digester to make biogas.

Comparison

SourceAdvantageDisadvantage
NuclearHuge energy from little fuelDangerous radioactive waste
GeothermalWorks day and nightFound only in a few places
WindNo fuel, no pollutionDepends on the wind; noisy
TidalPredictableOnly on coasts; costly
BiomassUses wasteSmoke when burnt
Conclusion

All of these except nuclear are renewable.

End of Chapter 5 Long QuestionsNext: Chapter 5 Numericals →
5Chapter
Full guide: Work, Energy and Power (notes, diagrams, all questions, self-test)
›
1Chapter
Physical Quantities and Measurements Long Questions
›
2Chapter
Kinematics Long Questions
›
3Chapter
Dynamics Long Questions
›
4Chapter
Turning Effect of Forces Long Questions
›
6Chapter
Mechanical Properties of Matter Long Questions
›
7Chapter
Thermal Properties of Matter Long Questions
›
8Chapter
Magnetism Long Questions
›
9Chapter
Nature of Science Long Questions
›