NCERT Solutions for Class 10 Mathematics
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| Chapter Name | Chapter 6 : How Forces Affect Motion |
|---|---|
| Subject | Physics |
| Main Theme | Understanding how different types of forces affect the motion of objects and how Newton's Laws explain these changes. |
| Real-Life Applications | Playing sports, driving vehicles, launching rockets, pushing carts, braking bicycles, seat belts, elevators, and everyday movement of objects. |
Have you ever wondered why a football starts moving when kicked, why a moving bicycle eventually stops, or why passengers move forward when a car suddenly applies brakes? The answer lies in the action of forces. This chapter helps you understand how forces influence the motion of objects and explains the scientific principles behind many everyday events using Newton's Laws of Motion.
| β | Meaning of force and its effects on objects. |
|---|---|
| β | Difference between balanced and unbalanced forces. |
| β | How force changes the speed, direction, or shape of an object. |
| β | Newton's First Law of Motion and the concept of inertia. |
| β | Newton's Second Law of Motion and the relationship between force, mass, and acceleration. |
| β | Newton's Third Law of Motion and action-reaction force pairs. |
| β | Meaning of momentum and how it depends on mass and velocity. |
| β | Understanding weight as the gravitational force acting on an object. |
| β | Applications of Newton's Laws in daily life and technology. |
| Concept | Formula |
|---|---|
| Force | F = ma |
| Weight | W = mg |
| Momentum | p = mv |
| Acceleration | a = (v β u)/t |
| Second Equation of Motion | s = ut + Β½atΒ² |
After studying this chapter, you will be able to:
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| Did You Know? |
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Let's discover how forces control motion, why objects move the way they do, and how Newton's Laws explain everything from walking and cycling to launching rockets into space.
| Concept | Description |
|---|---|
| Force | A force is a push or pull acting on an object. It can change the state of motion, speed, direction, or shape of an object. |
| Effects of Force |
|
| Balanced Forces | Balanced forces are equal in magnitude and opposite in direction. Their net force is zero, so they do not change the state of motion of an object. |
| Unbalanced Forces | When the forces acting on an object are not equal, the net force is non-zero. Such forces change the speed, direction, or both, causing acceleration. |
| Inertia | Inertia is the property of an object by which it resists any change in its state of rest or uniform motion. Greater the mass of an object, greater is its inertia. |
| Newton's First Law of Motion | An object remains at rest or continues to move with uniform velocity in a straight line unless acted upon by an unbalanced external force. This law is also known as the Law of Inertia. |
| Newton's Second Law of Motion | The acceleration produced in an object is directly proportional to the net force acting on it and inversely proportional to its mass. This relationship is expressed by the equation F = ma. |
| Newton's Third Law of Motion | For every action, there is an equal and opposite reaction. Action and reaction forces always act on different objects. |
| Momentum | Momentum is the quantity of motion possessed by a moving object. It depends on both the mass and velocity of the object. |
| Weight | Weight is the gravitational force acting on an object. It depends on the mass of the object and the acceleration due to gravity. |
| Net Force | Net force is the resultant of all the forces acting on an object. It determines whether the object will accelerate, slow down, or continue moving with constant velocity. |
| Acceleration Due to Gravity | The acceleration produced by Earth's gravitational pull is represented by g. Near the Earth's surface, its value is approximately 9.8 m/sΒ². |
| Relation Between Force, Mass and Acceleration | For the same force, a lighter object accelerates more than a heavier object. For the same mass, a larger force produces greater acceleration. |
| Action-Reaction Pair | Action and reaction forces are equal in magnitude and opposite in direction. Since they act on different objects, they never cancel each other. |
| Concept | Remember This |
|---|---|
| Force | A push or pull |
| Balanced Forces | Net Force = 0 |
| Unbalanced Forces | Cause acceleration |
| Inertia | Resistance to change in motion |
| Newton's First Law | Law of Inertia |
| Newton's Second Law | F = ma |
| Newton's Third Law | Every action has an equal and opposite reaction |
| Momentum | Mass Γ Velocity |
| Weight | Gravitational Force (W = mg) |
| Net Force | Resultant of all forces acting on an object |
| Important Fact | Value / Information |
|---|---|
| SI Unit of Force | Newton (N) |
| SI Unit of Momentum | kgΒ·m/s |
| Acceleration Due to Gravity | 9.8 m/sΒ² (approximately 10 m/sΒ²) |
| Force Formula | F = ma |
| Momentum Formula | p = mv |
| Weight Formula | W = mg |
The concepts of Force, Motion, Newton's Laws, Momentum, and Weight are used in almost every activity of our daily lives. From walking and driving to launching satellites and playing sports, these principles help explain how objects move and interact with one another.
| Real-Life Situation | Application of the Concept |
|---|---|
| π Driving a Car | When a driver presses the accelerator, the engine produces a force that accelerates the car. Applying brakes creates an opposing force that slows down or stops the vehicle. |
| π‘οΈ Seat Belts in Vehicles | Seat belts protect passengers due to Newton's First Law of Motion (Law of Inertia). During sudden braking, passengers tend to continue moving forward, and the seat belt prevents injury. |
| β½ Playing Football or Cricket | A football or cricket ball starts moving only when a player applies force. A stronger kick or hit produces greater acceleration and changes the ball's motion. |
| π Rocket Launch | A rocket moves upward because hot gases are pushed downward. This is an application of Newton's Third Law of Motion, where every action has an equal and opposite reaction. |
| π² Riding a Bicycle | Pedalling applies force to the wheels, causing the bicycle to accelerate. Applying brakes creates friction that slows it down. |
| π Pushing a Shopping Trolley | An empty trolley accelerates more easily than a loaded one because a heavier object has greater mass and requires more force to produce the same acceleration. |
| π Catching a Fast Ball | A player moves their hands backward while catching a ball to increase the stopping time, reducing the force experienced by the hands. |
| πͺ Skydiving | A parachute increases air resistance, reducing the skydiver's acceleration and allowing a safe landing. |
| ποΈ Weightlifting | Weightlifters apply an upward force greater than the weight of the barbell to lift it against gravity. |
| π Elevators | Elevators use motors to apply force that lifts or lowers passengers while overcoming gravitational force. |
| πͺ Opening a Door | Applying force to a door changes its state of rest and makes it rotate about its hinges. |
| π Running and Walking | While walking or running, your feet push the ground backward, and the ground pushes you forward with an equal and opposite force, illustrating Newton's Third Law. |
| ποΈ Construction Work | Cranes and heavy machines apply large forces to lift and move construction materials safely and efficiently. |
| πΎ Tennis and Badminton | The racket applies force to the ball or shuttlecock, changing its speed and direction according to Newton's Laws. |
| π Transporting Heavy Goods | Heavy trucks require greater force to start moving because they have larger mass and greater inertia. |
| π Space Exploration | Spacecraft and satellites move according to Newton's Laws of Motion, which are fundamental to modern space missions. |
| π§³ Pulling a Suitcase | Applying a pulling force overcomes friction and sets the suitcase into motion. |
| ποΈ Riding a Motorcycle | The engine provides the force needed for acceleration, while brakes apply an opposite force to reduce speed. |
| βοΈ Measuring Body Weight | A weighing machine measures the gravitational force (weight) acting on a person's body. |
| π‘ Amusement Park Rides | Roller coasters and other rides demonstrate changes in speed, direction, inertia, and the effects of forces during motion. |
Revise the complete chapter in just one minute using the important concepts, formulae, and key facts given below.
| Topic | Quick Revision |
|---|---|
| Force | A push or pull that can change the state of motion, speed, direction, or shape of an object. |
| Balanced Forces | Equal and opposite forces. Net Force = 0. No change in the state of motion. |
| Unbalanced Forces | Produce a net force and cause acceleration or change in motion. |
| Inertia | The tendency of an object to resist any change in its state of rest or motion. |
| Newton's First Law | An object remains at rest or moves uniformly unless acted upon by an unbalanced force. |
| Newton's Second Law | Force is directly proportional to mass and acceleration. F = ma |
| Newton's Third Law | Every action has an equal and opposite reaction. |
| Momentum | Momentum depends on the mass and velocity of an object. p = mv |
| Weight | Weight is the gravitational force acting on an object. W = mg |
| Gravity | Acceleration due to gravity near Earth's surface is 9.8 m/sΒ² (approximately 10 m/sΒ²). |
| Concept | Formula |
|---|---|
| Force | F = ma |
| Weight | W = mg |
| Momentum | p = mv |
| Acceleration | a = (v β u)/t |
| Second Equation of Motion | s = ut + Β½atΒ² |
F = ma
W = mg
p = mv
a = (v β u)/t
s = ut + Β½atΒ²
Force β Motion β Inertia β Newton's Laws β Acceleration β Momentum β Weight
| Keyword | Remember |
|---|---|
| Force | Push or Pull |
| Balanced Force | No Change in Motion |
| Unbalanced Force | Changes Motion |
| Inertia | Resists Change |
| Momentum | Mass Γ Velocity |
| Weight | Force due to Gravity |
| Newton's Third Law | Action β Reaction |
Remember the sequence:
Force β Motion β Newton's Laws β F = ma β Momentum β Weight
If you understand this sequence, you can solve most conceptual and numerical questions from this chapter.
A scientist does not simply observe motionβthey ask why objects move, how forces act on them, and what happens if the conditions change. This chapter encourages you to observe your surroundings carefully and apply the concepts of Force, Motion, Inertia, Newton's Laws, Momentum, and Weight to explain real-life events scientifically.
| π¬ | Think Like a Scientist |
|---|---|
| 1 | Why do passengers move forward when a moving bus stops suddenly, but move backward when the bus starts moving suddenly? Explain using the concept of inertia. |
| 2 | A football and a stone are kicked with the same force. Why does the football accelerate much more than the stone? Which law of motion explains this? |
| 3 | Why is it easier to push an empty shopping trolley than a fully loaded one? Relate your answer to mass, inertia, and force. |
| 4 | A rocket moves upward even though there is no surface to push against in space. Which scientific principle explains this phenomenon? |
| 5 | Why do athletes bend their knees immediately after landing from a jump? How does this reduce the force acting on their body? |
| 6 | Two cars are moving at the same speed, but one has a much larger mass. Which car has greater momentum? Explain your reasoning. |
| 7 | Why is wearing a seat belt important even when driving at a moderate speed? Which law of motion is involved? |
| 8 | Why does a person feel heavier while standing in a fast-moving lift that is accelerating upward and lighter when it accelerates downward? |
| 9 | If there were no friction between your shoes and the ground, would you be able to walk? Explain scientifically. |
| 10 | Why do racing cars have powerful engines compared to ordinary cars? Relate your answer to force and acceleration. |
| Challenge |
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Imagine you are a safety engineer designing a new school bus.
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| Question |
|---|
If gravity on Earth suddenly became twice as strong for one day:
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"A scientist observes every movement carefully, asks what force caused it, identifies which law of motion explains it, and uses evidenceβnot guessesβto reach a conclusion."
Observe any five activities at home, school, or on the road that involve force or motion. For each activity, identify the type of force acting, mention which of Newton's Laws explains it, and describe how the motion changes.
These frequently asked questions will help you quickly revise the important concepts of Chapter 6: How Forces Affect Motion.
| Q.No. | Question | Answer |
|---|---|---|
| 1 | What is force? | A force is a push or pull that can change the state of motion, speed, direction, or shape of an object. |
| 2 | What are the effects of force? | Force can start or stop motion, change speed, change direction, and change the shape or size of an object. |
| 3 | What are balanced forces? | Balanced forces are equal and opposite forces whose net force is zero. They do not change the state of motion of an object. |
| 4 | What are unbalanced forces? | Unbalanced forces produce a non-zero net force and change the speed or direction of an object. |
| 5 | What is inertia? | Inertia is the property of an object to resist any change in its state of rest or uniform motion. |
| 6 | State Newton's First Law of Motion. | An object remains at rest or continues to move with uniform velocity unless acted upon by an unbalanced external force. |
| 7 | Why is Newton's First Law called the Law of Inertia? | Because it explains that every object has inertia and resists changes in its state of motion. |
| 8 | State Newton's Second Law of Motion. | The acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. It is expressed as F = ma. |
| 9 | State Newton's Third Law of Motion. | For every action, there is an equal and opposite reaction. |
| 10 | What is momentum? | Momentum is the quantity of motion possessed by an object and is equal to the product of its mass and velocity. |
| 11 | What is the formula for momentum? | Momentum (p) = Mass Γ Velocity (mv). |
| 12 | What is weight? | Weight is the gravitational force acting on an object. |
| 13 | How is weight different from mass? | Mass is the amount of matter in an object and remains constant, whereas weight depends on gravity and can change from one planet to another. |
| 14 | What is the SI unit of force? | The SI unit of force is Newton (N). |
| 15 | What is the SI unit of momentum? | The SI unit of momentum is kgΒ·m/s. |
| 16 | What is the SI unit of weight? | Weight is a force, so its SI unit is Newton (N). |
| 17 | What is the value of acceleration due to gravity? | Near the Earth's surface, the value of g is approximately 9.8 m/sΒ² (or 10 m/sΒ² for simple calculations). |
| 18 | Why do passengers move forward when a bus stops suddenly? | Because of inertia, the passengers' bodies tend to continue moving forward even after the bus stops. |
| 19 | Why are seat belts important? | Seat belts prevent passengers from moving forward suddenly due to inertia during sudden braking or collisions. |
| 20 | Give two real-life applications of Newton's Third Law. | Rocket launches and walking are common examples of Newton's Third Law of Motion. |
Before solving any numerical problem, first identify the given values, write the correct formula, substitute the values using SI units, perform the calculation carefully, and always write the final answer with the correct unit.
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