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9th Class Physics · Punjab Board · Chapter 3

Chapter 3: DynamicsLong Questions with Answers

12 long (comprehensive) questions of 9th Class Physics Chapter 3, Dynamics, answered in full with headings, diagrams and tables, including important board-paper questions beyond the book. Punjab Board new syllabus.

Chapter 3· Dynamics

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 6 questions

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

Long Q 3.1

Explain the concept of force with the help of practical examples.

Answer

Definition

Definition
Force

A push or a pull that changes, or tends to change, the state of rest or of motion of a body. It is a vector; SI unit newton (N).

Effects of a force, with examples

A force can…Example
Start a body movingPushing a box makes it slide; kicking a ball at rest
Stop a moving bodyA goalkeeper catches the ball; brakes stop a car
Change its speedPressing the accelerator or the brake
Change its directionA batsman hits the ball back; a car turns a corner
Change its shape or sizeSqueezing a sponge; stretching a spring

Forces in daily life

  • Opening a door: a push or pull at the handle turns the door.
  • Turning a corner in a car: the seat pushes sideways on you, which is why you feel pressed against it.
  • Pushing a wheelbarrow: you push forward to move it; to turn it, you push harder on one handle than the other.

Kinds of force

Contact forcesNon-contact forces
Friction, normal reaction, tension, air resistance, thrustGravitational, magnetic, electrostatic
Conclusion

A force can change speed or direction (or both); since velocity is a vector, either is a change in motion.

Long Q 3.2

State and explain Newton's laws of motion.

Answer

Newton's first law (law of inertia)

Definition
Statement

A body at rest stays at rest, and a body in motion keeps moving with uniform velocity in a straight line, unless a resultant external force acts on it.

Explanation: every body resists a change in its state of motion; this is inertia. A force is needed to start, stop, speed up, slow down or turn a body.

Examples
  • Passengers lurch forward when a bus stops suddenly.
  • Dust falls out of a carpet when it is beaten.

Newton's second law

Definition
Statement

When a resultant force acts on a body, it produces an acceleration in its own direction that is directly proportional to the force and inversely proportional to the mass.

F = ma

a ∝ F (twice the force, twice the acceleration) and a ∝ 1/m (twice the mass, half the acceleration). Combining them gives F = ma.

Definition
Newton

The force that gives a 1 kg mass an acceleration of 1 m s⁻². 1 N = 1 kg m s⁻².

Newton's third law

Definition
Statement

To every action there is an equal and opposite reaction. The two forces act on different bodies.

Examples
  • A book presses down on a table; the table pushes up on the book (normal reaction).
  • A gun pushes a bullet forward; the bullet pushes the gun back (recoil).
  • Your feet push the ground backward; the ground pushes you forward, so you walk.
blockpush (applied force)frictionweight W = mgnormal reaction R
Forces on a block on a table, including the normal reaction.
Remember

Action and reaction act on different bodies, so they never cancel each other.

Long Q 3.3

Define momentum and express Newton's second law in terms of change in momentum.

Answer

Momentum

Definition
Momentum

The product of the mass and velocity of a body: p = mv. It is a vector in the direction of the velocity; SI unit kg m s⁻¹ (= N s).

A loaded truck is harder to stop than a bicycle at the same speed because it has more momentum; a bullet is dangerous despite its tiny mass because of its huge velocity.

Second law in terms of momentum

Worked exampleDerivation
  1. Start from F = ma.
  2. Acceleration a = (vf − vᵢ) ÷ t, so F = m(vf − vᵢ) ÷ t.
  3. Multiply out: F = (mvf − mvᵢ) ÷ t.
  4. mvf is the final momentum and mvᵢ the initial momentum, so F = (change in momentum) ÷ time.

AnswerF = Δp ÷ t

Statement

The resultant force on a body equals its rate of change of momentum, and the change in momentum is in the direction of the force.

Impulse

Rearranging: F × t = Δp. The product F × t is called impulse.

Worked exampleA 0.16 kg ball hits a bat at 28 m s⁻¹ and leaves at 52 m s⁻¹ the other way in 0.004 s
  1. Δp = 0.16 × (52 − (−28)) = 12.8 kg m s⁻¹.
  2. F = 12.8 ÷ 0.004.

Answer3200 N

Long Q 3.4

State and explain the law of conservation of momentum.

Answer

Statement

Definition
Law of conservation of momentum

The total momentum of an isolated system (one with no external force) remains constant.

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
total momentum before = total momentum after

Explanation

Beforem₁u₁m₂u₂Afterm₁v₁m₂v₂
Two balls before and after a collision.
  1. During a collision ball 1 pushes ball 2, and ball 2 pushes ball 1 back with an equal and opposite force (third law).
  2. Both forces act for the same time, so the impulses are equal and opposite.
  3. Ball 2 gains exactly the momentum that ball 1 loses, so the total does not change.

Example

Worked exampleA 3 kg ball at 5 m s⁻¹ hits a 2 kg ball at rest, and they stick together
  1. Momentum before = 3 × 5 + 2 × 0 = 15 kg m s⁻¹.
  2. Momentum after = (3 + 2) v = 5v.

Answerv = 3 m s⁻¹

Applications

  • Recoil of a gun: the gun moves back as the bullet goes forward.
  • Rockets: hot gases thrown backward push the rocket forward.
  • Newton's cradle: equal balls in an elastic collision swap their motion; the moving ball stops and the other moves off with the same speed.
Long Q 3.5

Describe the motion of a block on a table, taking friction into account. Explain static and kinetic friction.

Answer

The experiment

A wooden block rests on a table. A string tied to it passes over a pulley at the edge and holds a light pan. Weights are added to the pan one by one, so the pull on the block grows slowly.

What happens

  1. With small weights the block does not move. Friction from the table pulls back on the block exactly as hard as the string pulls it forward: this is static friction.
  2. As weights are added, static friction grows to match the pull.
  3. Static friction can only grow up to a maximum value, called limiting friction.
  4. When the pull becomes just greater than limiting friction, the block starts to slide.
  5. While it slides, a slightly smaller kinetic friction acts, so a slightly smaller pull keeps it moving at steady speed.
applied forcefrictionstatic friction(block stays at rest)limiting frictionkinetic friction (sliding)block starts to slide
Friction against the applied force.

Definitions

Definition
Static friction

The friction on a body at rest that stops it sliding; it can have any value up to limiting friction.

Definition
Limiting friction

The maximum value of static friction, just before sliding begins.

Definition
Kinetic (sliding) friction

The friction on a body while it is sliding; slightly less than limiting friction.

Remember

It is harder to start pushing a heavy box than to keep it moving, because limiting friction is greater than kinetic friction.

Long Q 3.6

Explain the effect of friction on the motion of a vehicle, with reference to the tyre surface and the braking force.

Answer

Grip: friction that makes a car move

When the engine turns the wheels, each tyre pushes backward on the road. By the third law, friction from the road pushes the tyre, and so the car, forward. Without friction the wheels would just spin, as on ice.

Braking

The brakes slow the turning of the wheels. Friction between the tyres and the road then provides the backward force that slows and stops the car. The greater this friction, the shorter the stopping distance.

Tyre surface (treads)

  • Treads (grooves) on a tyre push water out from under it on a wet road, so the rubber keeps touching the road and gripping it.
  • Worn, smooth tyres cannot clear water, so they lose grip and can skid.
  • On wet or oily roads friction is smaller, so braking takes longer; drivers must slow down and keep a bigger gap.

Unwanted effects

  • Friction wears tyres down over time.
  • It heats the tyres and brakes.
  • Friction in the engine and air resistance waste fuel energy.
Conclusion

In a vehicle, friction is both useful (grip and braking) and a nuisance (wear, heat, wasted fuel).

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

What is inertia? Explain it with examples. How is it related to mass?

Answer

Definition

Definition
Inertia

The tendency of a body to keep its state of rest or of uniform motion in a straight line, and to resist any change in it.

Newton's first law is called the law of inertia because it describes this property.

Inertia of rest

  • When a bus starts suddenly, passengers fall backward: their bodies tend to stay at rest.
  • A coin on a card over a glass drops into the glass when the card is flicked away quickly.
  • Dust falls out when a carpet is beaten: the carpet moves, the dust stays.

Inertia of motion

  • When a bus stops suddenly, passengers lurch forward: their bodies tend to keep moving.
  • An athlete runs on past the finishing line before stopping.
  • Seat belts are needed because the body keeps moving forward in a sudden stop.

Inertia and mass

The more mass a body has, the harder it is to start, stop or turn: mass is the measure of inertia. An empty trolley is easy to push and stop; a loaded one is not.

Remember

Inertia depends only on mass, not on speed, shape or colour.

Imp. LQ 2

Differentiate between mass and weight.

Answer

Mass

Definition
Mass

The quantity of matter in a body, and the measure of its inertia. Scalar; SI unit kilogram (kg).

Weight

Definition
Weight

The force with which the Earth (or another body) pulls an object towards its centre. Vector; SI unit newton (N).

W = mg

Differences

MassWeight
Quantity of matterForce of gravity on the body
ScalarVector, towards the centre of the Earth
Unit kgUnit N
Same everywhereChanges with g: less on the Moon, zero far out in space
Measured with a beam (physical) balanceMeasured with a spring balance
Worked exampleAn 80 kg person
  1. Weight on the Earth = 80 × 10 = 800 N.
  2. Weight on the Moon = 80 × 1.6 = 128 N.

Answermass 80 kg in both places

Imp. LQ 3

What is friction? Explain its advantages and disadvantages and the methods of reducing it.

Answer

Definition

Definition
Friction

The force that opposes the motion, or attempted motion, of one surface over another.

Cause

Even smooth-looking surfaces have tiny bumps. When two surfaces touch, the bumps catch on each other and resist sliding.

Advantages (friction is useful)

  • We can walk without slipping.
  • Vehicles can start, turn and brake.
  • We can hold a pen and write, and grip things.
  • Nails and screws stay in wood; knots hold.

Disadvantages (friction is a nuisance)

  • It wears out tyres, shoe soles and machine parts.
  • It produces unwanted heat in engines and machines.
  • It wastes energy and fuel, making machines less efficient.

Methods of reducing friction

MethodHow it helps
Lubricants (oil, grease)A thin layer keeps the surfaces apart
Ball bearings and wheelsChange sliding into rolling, which has far less friction
Smooth, polished surfacesFewer bumps to catch on each other
StreamliningReduces air and water resistance on cars, aircraft, boats
Remember

We reduce friction where it wastes energy and increase it where we need grip, for example with treaded tyres and studded shoes.

Imp. LQ 4

What is rolling friction? Why is it less than sliding friction? Explain the use of ball bearings.

Answer

Rolling friction

Definition
Rolling friction

The friction that acts on a body that rolls over a surface, such as a wheel or a ball.

Why it is less than sliding friction

In sliding, the whole contact area rubs along the surface and the bumps keep catching. A rolling wheel touches the ground at only a small area, and each part of it is lifted off the ground rather than dragged along. So rolling friction is very much smaller, in many cases about a hundred times smaller, than sliding friction.

Worked exampleA simple test
  1. Pull a heavy box across the floor with a spring balance and note the reading.
  2. Put the box on round pencils or a trolley and pull again.

Answerthe reading is much smaller: rolling friction < sliding friction

Ball bearings

Ball bearings are small hard steel balls placed between the moving parts of a machine, for example between a wheel and its axle. The parts then roll on the balls instead of sliding against each other, so friction, heat and wear are greatly reduced. They are used in bicycles, cars, fans and motors.

Remember

Wheels and ball bearings work by changing sliding friction into much smaller rolling friction.

Imp. LQ 5

Define impulse. Explain, with daily-life examples, how a longer time of impact reduces the force.

Answer

Definition

Definition
Impulse

The product of a force and the time for which it acts. It equals the change in momentum; SI unit N s.

Impulse = F × t = Δp

Why a longer time means a smaller force

When a moving body is stopped, its momentum must change from mv to zero; the change Δp is fixed. Since F = Δp ÷ t, making the stopping time t longer makes the force F smaller.

Examples

SituationWhat is doneResult
Catching a fast cricket ballThe hands are drawn back with the ballSmaller force, hands not hurt
Car crashAir bags, seat belts and crumple zones stop the passenger graduallySmaller force on the body
Jumping downBending the knees on landingSmaller force on the legs
Packing glasswareWrapping it in foam or paperSmaller force if the box is dropped
High jump and pole vaultLanding on a thick soft mattressSmaller force on the athlete
Worked exampleA 0.4 kg ball hits the hands at 20 m s⁻¹ and is stopped
  1. Δp = 0.4 × 20 = 8 N s.
  2. Stopped in 0.01 s: F = 8 ÷ 0.01 = 800 N.
  3. Stopped in 0.1 s (hands drawn back): F = 8 ÷ 0.1 = 80 N.

Answerten times the time, one-tenth of the force

Imp. LQ 6

Explain terminal velocity with the example of a skydiver.

Answer

Forces on a falling body

Two forces act on a skydiver: weight, pulling down, and air resistance, pushing up. Air resistance is small at low speed and grows as the speed grows.

Stages of the fall

  1. Just after jumping: speed is low, air resistance is small, so the net force is downward and the skydiver accelerates.
  2. Speeding up: as the speed rises, air resistance grows, so the net force and the acceleration get smaller.
  3. Terminal velocity: air resistance grows until it equals the weight. The net force is zero, so the acceleration is zero and the skydiver falls at a steady speed.
  4. Parachute opens: air resistance suddenly becomes much larger than the weight, so the skydiver slows down until a new, much lower terminal velocity is reached for a safe landing.
timevelocityterminal velocityweightair resistanceequal forces: net force 0
Velocity rises and then levels off at terminal velocity.
Definition
Terminal velocity

The constant velocity reached by a falling body when the air resistance on it equals its weight.

Remember

At terminal velocity the body is still moving fast; only its acceleration has become zero.

End of Chapter 3 Long QuestionsNext: Chapter 3 Numericals →
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