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CBSE Class 8 Science

Exploring Forces

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What Is a Force?

Chapter 5: Exploring Forces

Page 1 of 5: What Is a Force?

Have you ever ridden a bicycle downhill? You might have noticed that it picks up speed all by itself, even when you aren't pedalling! It feels thrilling, as if something invisible is pulling you forward. That invisible "something" is a force. In science, understanding forces is the key to understanding why things move, stop, or change direction.


What Is a Force?

At its simplest, a force is just a push or a pull. Think about your daily activities. When you open a door, you either push it or pull it. When you kick a football, you push it with your foot. When you lift your school bag, you pull it upwards.

Let's imagine you have a large cardboard box in front of you. How could you move it?

  • You could push it from behind.
  • You could tie a rope and pull it.
  • You could get underneath and lift it, which is a type of pull against gravity.

In every case, to make the box move, you had to apply either a push or a pull. This action is what we call a force.

{{VISUAL: photo: a montage showing three actions - a person pushing a large box, pulling a cart, and lifting a heavy bag from the floor.}}

{{KEY: type=definition | title=Force | text=A push or pull applied on an object is called a force. It results from the object’s interaction with another object.}}

What Can a Force Do to Objects?

Forces are more than just simple pushes and pulls; they are powerful agents of change. Applying a force to an object can cause several different effects. Let's explore them with examples we see every day.

  • Make an object move from rest: A football sitting on the ground won't move on its own. It needs a force—a kick (a push)—to start moving.
  • Change the speed of a moving object: If your friend is riding a bicycle and you give it a push from behind, it will speed up. If you pull it from behind, it will slow down or stop.
  • Change the direction of motion: In a game of cricket, a batsman uses a bat (applies a force) to hit the moving ball, changing its direction completely. Similarly, turning the steering wheel of a car applies a force that changes the car's direction.
  • Change the shape of an object: When you squeeze a sponge or press an inflated balloon, you are applying a force that changes its shape. When you roll a chapati from a ball of dough, you are using force to alter its shape.

{{VISUAL: diagram: a four-panel diagram illustrating the effects of force. Panel 1: A football at rest starts moving when kicked. Panel 2: A moving car slowing down as brakes are applied. Panel 3: A cricket bat hitting a ball, changing its direction. Panel 4: A person squeezing a sponge, changing its shape.}}

Sometimes, a single force can cause more than one of these effects at the same time! For instance, hitting a moving ball with a bat can change both its speed and its direction.

{{KEY: type=points | title=Effects of a Force | text=The force applied on an object may:

  • Make an object move from rest.
  • Change the speed of an object if it is moving.
  • Change the direction of motion of an object.
  • Bring about a change in the shape of an object.
  • Cause some or all of these effects.}}

Are Forces an Interaction?

This is a very important question. Can a force exist on its own? Think about pushing a table. You are pushing the table. Your hand is one object, and the table is another. A force is created because these two objects are interacting.

If you just stand near the table without touching it, no force is applied. A force only comes into play when at least two objects interact.

  • A fielder stopping a ball: The fielder's hands (object 1) interact with the ball (object 2).
  • A magnet pulling a nail: The magnet (object 1) interacts with the nail (object 2).

This leads to a crucial conclusion in physics.

{{KEY: type=concept | title=Force Requires Interaction | text=A force can only exist when at least two objects interact with each other. A single, isolated object cannot experience or exert a force. For example, to push a book, your hand (object 1) must interact with the book (object 2).}}

The Unit of Force

Just like we measure length in metres and mass in kilograms, we need a standard unit to measure force. The SI unit of force is the newton, named after the famous scientist Sir Isaac Newton. It is written with a small 'n' (newton) and its symbol is a capital N. So, we might say, "I applied a force of 10 N to push the box."

{{ZOOM: title=Feeling the Force Back | text=When you push a table, have you noticed that you also feel a pressure on your hand? This is the table pushing back on you! Whenever two objects interact, each object experiences a force from the other. As soon as the interaction stops (you take your hand away), both forces disappear.}}


Different Types of Forces — Contact Forces

What Are the Different Types of Forces?

In the world around us, forces are constantly at play. They can be as gentle as a breeze pushing a leaf or as powerful as a rocket engine lifting a spaceship. To understand them better, scientists classify forces into two main categories based on one simple question: Do the objects need to touch each other for the force to act?

This leads us to two fundamental types:

  • Contact Forces
  • Non-Contact Forces

In this lesson, we will explore the forces that require a direct touch or interaction.

Contact Forces: The "Touching" Forces

Think about how you interact with the world. To open a door, you push or pull the handle. To kick a football, your foot must make contact with the ball. To lift your school bag, your hands must hold the strap.

In all these cases, the force is applied only when there is physical contact between the objects. This contact can be direct (your hand pushing a box) or indirect (using a rope to pull a bucket of water).

{{KEY: type=definition | title=Contact Force | text=A force that acts on an object only when there is physical contact between the force-applying body and the object. The interaction ceases the moment the contact is broken.}}

Let's dive into the two most common examples of contact forces you experience every day.

1. Muscular Force: The Power of Living Beings

Every time you walk, run, jump, or lift something, you are using muscular force. This force is generated by the contraction and elongation of muscles in your body. It's the engine that powers all your physical activities.

This isn't just limited to humans!

  • Animals: An ox pulls a cart, a horse pulls a carriage, and birds flap their wings to fly—all using the power of their muscles. For a long time, humans have relied on the muscular force of animals to perform heavy tasks.
  • Inside Your Body: Muscular force is also at work inside you. The muscles in your jaw help you chew food. The walls of your food pipe push food down towards your stomach. Most critically, the constant contraction and expansion of your heart muscles circulates blood throughout your body, a process essential for life.

{{VISUAL: photo: a collage showing diverse examples of muscular force - a weightlifter, an ox pulling a plough, and a diagram of the human heart muscle contracting.}}

{{KEY: type=definition | title=Muscular Force | text=The force resulting from the action of muscles in a living body. It is a type of contact force used for all activities involving movement.}}


2. Frictional Force (Friction): The Unseen Opponent

Have you ever noticed that a ball rolling on the ground eventually slows down and stops on its own? Or if you stop pedalling your bicycle, it doesn't keep going forever?

It seems like something is acting to stop them, even though you can't see anything pushing against them. That invisible "something" is a contact force called friction.

Friction is the force that comes into play when an object moves or tries to move over the surface of another. Its most important characteristic is that it always opposes the motion. If you push a book to the right, friction acts to the left.

{{KEY: type=concept | title=The Force of Friction | text=Friction is a contact force that opposes the motion (or attempted motion) between two surfaces in contact. It always acts in the direction opposite to the movement. The primary cause of friction is the interlocking of irregularities on the two surfaces.}}

What Causes Friction?

You might think that a smooth tabletop or a polished floor is perfectly flat, but if you could look at them under a powerful microscope, you would see that they are covered in tiny bumps and grooves. These are called surface irregularities.

When two surfaces are in contact, these irregularities lock into each other. This interlocking makes it difficult for one surface to slide over the other, creating the force of friction.

{{VISUAL: diagram: a magnified, cross-section view of two seemingly smooth surfaces in contact, showing their microscopic irregularities locking into each other.}}

Friction Depends on the Surface

Does a toy car travel the same distance if you push it on a glass table versus on a sandy path? Of course not! It stops much sooner on the sand. This simple experiment shows that the force of friction depends on the nature of the surfaces in contact.

Surface TypeIrregularitiesForce of FrictionExample
RoughMany and largeHighSandpaper, carpet
SmoothFew and smallLowGlass, ice

The rougher the surfaces, the more the irregularities can interlock, and the greater the force of friction.

{{VISUAL: photo: a sequence of images showing a ball rolling on a smooth tiled floor versus on a rough grassy lawn, illustrating how friction stops the ball faster on the rougher surface.}}

{{KEY: type=exam | title=Friction in Daily Life | text=Questions often ask for real-life examples where friction is helpful (like walking or writing) and where it is a nuisance (like in machine parts wearing out). Be ready to explain why friction acts in the opposite direction of motion.}}

{{ZOOM: title=Friction Isn't Just for Solids! | text=Air and water also exert a frictional force on objects moving through them. This is often called 'drag'. This is why high-speed trains, airplanes, and ships have streamlined, pointed shapes – to cut through the air or water more easily and reduce this drag force.}}

In summary, contact forces like muscular force and friction are a fundamental part of our physical world, governing everything from our own movements to the way objects interact and come to a rest.


Different Types of Forces — Non-Contact Forces

Different Types of Forces: The "Invisible" Push and Pull

In the previous section, we explored contact forces like muscular force and friction, which require objects to be physically touching. But have you ever wondered how a magnet can pull an iron pin without touching it? Or why a fruit falls from a tree towards the ground and not upwards?

These are examples of forces that can act over a distance, through empty space. They don't need any physical contact to make their presence felt. These "invisible" forces are known as non-contact forces.

{{KEY: type=definition | title=Non-Contact Force | text=A force that can act on an object without coming into physical contact with it is called a non-contact force.}}

Let's explore the three main types of non-contact forces that shape our world.

1. Magnetic Force

You've probably played with magnets and noticed their fascinating ability to attract or push away other objects. This is due to magnetic force.

A magnet creates an invisible area of influence around itself called a magnetic field. When another magnet or a magnetic material (like iron, nickel, or cobalt) enters this field, it experiences a push or a pull.

The key properties of magnetic force are:

  • Attraction: Unlike poles of two magnets (North and South) attract each other.
  • Repulsion: Like poles of two magnets (North and North, or South and South) repel, or push each other away.

This is a true non-contact force because a magnet can move an iron nail or repel another magnet even when they are separated by air, paper, or glass.

{{VISUAL: diagram: Two bar magnets. The first pair shows the North pole of one magnet facing the South pole of the other, with arrows indicating an attractive force pulling them together. The second pair shows the North pole of one magnet facing the North pole of the other, with arrows indicating a repulsive force pushing them apart.}}

A classic experiment is to place one ring magnet on a pencil and then try to lower another ring magnet over it. If the like poles face each other, the top magnet will magically float above the bottom one, held up by the invisible force of repulsion!

2. Electrostatic Force

Have you ever rubbed a balloon on your hair and watched it stick to a wall? Or run a plastic comb through dry hair and used it to pick up tiny bits of paper? This "static cling" is caused by electrostatic force.

This force arises from the presence of electric charges. All matter is made of tiny particles, and some of these particles carry an electric charge. When you rub certain objects together (like a comb and your hair), charges can move from one object to the other. The object that gains charges becomes charged.

{{KEY: type=concept | title=Electrostatic Force | text=The force exerted by a charged body on another charged or uncharged body is known as electrostatic force. It can be either attractive or repulsive.}}

The rules for electrostatic force are very similar to those for magnetic force:

  • Like charges repel each other.
  • Unlike charges attract each other.

A charged object (like the comb) can also attract an uncharged object (like the paper bits) by inducing a temporary charge separation in it. This force acts at a distance, making it a non-contact force.

{{VISUAL: photo: A plastic comb, having been rubbed through hair, is held close to a small pile of tiny paper scraps. The paper scraps are seen jumping up and sticking to the comb without any direct physical push.}}

3. Gravitational Force

If you drop a ball, it falls to the ground. An apple from a tree falls down, not up. The Moon orbits the Earth, and the Earth orbits the Sun. The force responsible for all of this is the gravitational force, or simply gravity.

Gravity is a force of attraction that exists between any two objects that have mass. Yes, you read that right—any two objects! Your body exerts a gravitational pull on your book, and your book pulls back on you. However, this force is extremely weak unless at least one of the objects is incredibly massive, like a planet or a star.

{{KEY: type=points | title=Key Facts about Gravity | text=- It is always an attractive force; it never repels.

  • It acts between any two objects with mass in the universe.
  • The strength of the force depends on the masses of the objects and the distance between them.
  • It is the force that keeps planets in orbit around the Sun and holds galaxies together.}}

The Earth is so massive that its gravitational pull is very strong, pulling everything on or near it towards its center. This pull is what we call an object's weight.


Solved Numericals

The force of gravity exerted by the Earth on an object is called its weight. We can calculate it using a simple formula.

Hero Formula: Weight (W) is the product of an object's mass (m) and the acceleration due to gravity (g).

  • W = m × g

Note: The value of g on Earth is approximately 9.8 m/s². This means gravity tries to make any falling object speed up by 9.8 meters per second every second. For simplicity in calculations, we can sometimes use g ≈ 10 m/s². Weight is a force, so its SI unit is the Newton (N).

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Example 1

Question: A school bag has a mass of 5 kg. What is its weight on Earth? (Use g = 9.8 m/s²)

  • GIVEN:
    • Mass (m) = 5 kg
    • Acceleration due to gravity (g) = 9.8 m/s²
  • FORMULA:
    • W = m × g
  • SUBSTITUTION:
    • W = 5 kg × 9.8 m/s²
  • ANSWER:
    • W = 49 kg⋅m/s² or 49 N
    • Therefore, the weight of the school bag is 49 Newtons.

Example 2

Question: An object has a weight of 196 N on the surface of the Earth. What is its mass? (Use g = 9.8 m/s²)

  • GIVEN:
    • Weight (W) = 196 N
    • Acceleration due to gravity (g) = 9.8 m/s²
  • FORMULA:
    • W = m × g
    • Rearranging for mass: m = W ÷ g
  • SUBSTITUTION:
    • m = 196 N ÷ 9.8 m/s²
  • ANSWER:
    • m = 20 kg
    • Therefore, the mass of the object is 20 kg.

{{KEY: type=exam | title=Mass vs. Weight | text=A very common question asks for the difference between mass and weight. Remember, mass is the amount of matter in an object (unit: kg) and is constant everywhere. Weight is the force of gravity on that mass (unit: N) and changes depending on the planet.}}

Try It Yourself

  1. A box has a mass of 15 kg. Calculate its weight on Earth. (Use g = 10 m/s²)
  2. A girl weighs 450 N. What is her mass? (Use g = 10 m/s²)
  3. Why is gravity considered a non-contact force? Explain in one sentence.

Answer Key: 1. 150 N 2. 45 kg 3. Gravity is a non-contact force because it acts on objects over a distance without any physical touch between them.


Weight and Its Measurement

Page 4: Weight and Its Measurement

Have you ever wondered why lifting a small stone is easy, but lifting a large rock is difficult? Or why an apple falls from a tree? The answer to both questions lies in a force we experience every single moment: the force of gravity. But does gravity pull on all objects equally? Let's explore.

When an object is thrown upwards, its speed decreases until it momentarily stops and starts falling back down. While falling, its speed constantly increases. This happens because the Earth is constantly pulling the object towards its center. This pull is a force.

The Force of Gravity as Weight

The force with which the Earth pulls an object towards itself is called the weight of the object. Weight is a measure of how strongly gravity is pulling on an object.

Think about it: the reason you feel "stuck" to the ground is because the Earth is pulling on you with a force equal to your weight. If you jump, this force pulls you back down.

{{KEY: type=definition | title=Weight | text=The weight of an object is the gravitational force with which the Earth (or any other celestial body) pulls the object towards its center.}}

Since weight is a type of force, it is measured in the same unit as force.

  • The SI unit of weight is the newton (N).

Now, does the Earth pull every object with the same force? Imagine hanging a pencil box from a rubber band. It stretches a little. Now, hang a heavy water bottle from the same rubber band. It stretches much more! This simple experiment shows that the Earth pulls the water bottle with a greater force than it pulls the pencil box.

This means different objects have different weights.


Measuring Weight: The Spring Balance

How can we accurately measure this pulling force, or weight? We use a device called a spring balance.

A spring balance is a simple and clever tool. It consists of a spring with a hook at one end. When you hang an object from the hook, the force of gravity pulls the object down, stretching the spring. The heavier the object, the greater the pull, and the more the spring stretches.

{{VISUAL: photo: A hand holding a spring balance, first with no object, and then with a small red apple hanging from its hook, showing the scale extended.}}

A pointer attached to the spring moves along a calibrated scale, which directly shows the weight of the object in newtons (N). Many spring balances also have a parallel scale that shows the mass in grams (g) or kilograms (kg).

How to Read a Spring Balance

Just like using a ruler or a thermometer, it's important to know how to read a spring balance correctly.

  1. Find the Range: Look for the maximum value the balance can measure. For example, a scale might go from 0 N to 10 N. You should never hang an object heavier than the maximum range, as it could permanently damage the spring.

  2. Calculate the Least Count: The least count is the smallest value you can accurately measure with an instrument. To find it:

    • Look at two major markings on the scale (e.g., 1 N and 2 N). Find the difference between them. Here, it is 2 N - 1 N = 1 N.
    • Count the number of small divisions between these two markings. Let's say there are 5 divisions.
    • Divide the difference by the number of divisions: Least Count = 1 N ÷ 5 = 0.2 N.
    • This means each small line on the scale represents a weight of 0.2 N.

{{KEY: type=concept | title=Least Count of an Instrument | text=The least count is the smallest and most accurate value that can be measured by a measuring instrument. Calculating it is essential for making precise measurements.}}


Mass vs. Weight: A Crucial Difference

In everyday language, we often use the words "mass" and "weight" as if they mean the same thing. You might say, "My weight is 50 kilograms." Scientifically, this is incorrect! Mass and weight are two different, though related, quantities.

Mass is the amount of matter or "stuff" an object contains. Your mass is determined by the number and type of atoms in your body. It is constant, no matter where you are in the universe. Mass is measured in kilograms (kg).

Weight, as we've learned, is the force of gravity on that mass. This force can change depending on where you are.

Imagine an astronaut. Her mass is 70 kg.

  • On Earth, gravity pulls on her with a force of about 686 N. This is her weight on Earth.
  • On the Moon, the gravity is much weaker (about ⅙ of Earth's). Her mass is still 70 kg (she's made of the same stuff!), but her weight would only be about 114 N. She would feel much lighter!

{{VISUAL: diagram: A simple cartoon comparing an astronaut on Earth and the Moon. On Earth, a large arrow labeled "Weight = 686 N" points down. On the Moon, a much smaller arrow labeled "Weight = 114 N" points down. A text box for both indicates "Mass = 70 kg".}}

Here is a summary of the key differences:

FeatureMassWeight
DefinitionAmount of matter in an object.The force of gravity on an object.
SI UnitKilogram (kg)Newton (N)
ConstancyRemains the same everywhere.Changes with location (gravity).
InstrumentBeam Balance / Physical BalanceSpring Balance
Is it zero?Can never be zero.Can be zero in space (weightlessness).

{{KEY: type=points | title=Mass vs. Weight | text=- Mass is the amount of matter (kg); Weight is the force of gravity (N).

  • Mass is constant everywhere; Weight changes with location.
  • Mass is measured with a beam balance; Weight is measured with a spring balance.}}

So, when a doctor measures your "weight" in kilograms, they are technically measuring your mass. This is acceptable for everyday use on Earth because the planet's gravitational pull is almost the same everywhere on its surface.

Solved Numericals

On the surface of the Earth, the force of gravity is fairly consistent. For practical purposes in our calculations, we can use a simple relationship between mass and weight.

Hero Formula: Weight on Earth (N) = Mass (kg) × 10

(Note: The exact value is closer to 9.8, but 10 is a standard approximation used in many school textbooks for easier calculation.)


Example 1: A student's school bag has a mass of 4.5 kg. What is its weight on Earth?

  • GIVEN: Mass m = 4.5 kg
  • FORMULA: Weight = Mass × 10
  • SUBSTITUTION: Weight = 4.5 kg × 10
  • ANSWER: The weight of the school bag is 45 N.

Example 2: A spring balance shows that a box weighs 82 N. What is the mass of the box?

  • GIVEN: Weight W = 82 N
  • FORMULA: Mass = Weight ÷ 10
  • SUBSTITUTION: Mass = 82 N ÷ 10
  • ANSWER: The mass of the box is 8.2 kg.

Try It Yourself

Now, solve these problems to test your understanding.

  1. A bag of rice has a mass of 25 kg. Calculate its weight in newtons.
  2. If an object has a weight of 150 N on Earth, what is its mass?
  3. An object has a mass of 12 kg on Earth. If it is taken to Mars where gravity is weaker, what will its mass be?

Answer Key: 1. 250 N | 2. 15 kg | 3. 12 kg (Mass is constant everywhere!)


Floating and Sinking & Summary & Quick Revision

{{FORMULA: expr=W = m × g | symbols=W:Weight (N), m:mass (kg), g:acceleration due to gravity (m/s²)}}

Floating and Sinking: The Upward Push of Water

Have you ever tried to push a beach ball under water? It’s surprisingly difficult! Or have you noticed, as the textbook mentions, that a mug full of water feels much lighter when it's still inside the bucket compared to when you lift it out into the air?

This "lightness" is not your imagination. It's due to a powerful, invisible force exerted by liquids.

The Mystery of the Upward Force

When any object is placed in a liquid (like water), the liquid pushes back on it from all sides. However, the push from the bottom is stronger than the push from the top because the pressure in a liquid increases with depth. This results in a net upward force on the object.

{{KEY: type=definition | title=Upthrust or Buoyant Force | text=When an object is placed in a liquid, the upward force applied by the liquid on the object is known as upthrust or buoyant force.}}

This buoyant force acts in the direction opposite to the force of gravity (which pulls the object downwards). It's a constant battle between these two forces that determines whether an object will sink or float.

{{VISUAL: diagram: Three beakers of water showing the forces on an object. 1) Sinking: Gravity arrow is longer than the Upthrust arrow. 2) Floating: Gravity arrow and Upthrust arrow are equal in length. 3) Rising: Upthrust arrow is longer than the Gravity arrow.}}

The Deciding Factor: Weight vs. Upthrust

So, what decides the winner in this tug-of-war between gravity and buoyancy? It’s a simple comparison:

  • An object sinks if its weight (the downward pull of gravity) is greater than the buoyant force (the upward push of the liquid). A small iron nail sinks because its weight is more than the upthrust from the small amount of water it displaces.
  • An object floats if its weight is equal to or less than the buoyant force. A huge ship, despite being made of iron, floats because its hollow shape displaces an enormous amount of water. The buoyant force from this displaced water is large enough to equal the ship's massive weight.

{{KEY: type=concept | title=The Principle of Flotation | text=An object will sink in a liquid if its total weight is greater than the weight of the liquid it displaces (the buoyant force). An object will float if its total weight is equal to the weight of the liquid it displaces.}}

This is why a small, dense coin sinks, but a much larger and heavier wooden block floats. The wooden block displaces enough water to generate a buoyant force equal to its own weight.

Ever heard of floating rocks? The Pumice rock, formed from volcanic lava filled with gas bubbles, is a real-world marvel. These trapped air pockets make it very light and porous. Its overall density is less than water, allowing it to displace a weight of water equal to its own weight easily, and thus it floats!


Chapter Summary: Exploring Forces at a Glance

Let's quickly recap the essential concepts we've explored in this chapter. These points are the foundation for understanding how things move and interact in the world around us.

  • Force: A force is simply a push or a pull that one object exerts on another. Its SI unit is the newton (N).
  • Types of Forces:
    • Contact Forces: Require physical touching. Examples include muscular force (lifting a bag) and frictional force (a ball slowing down on grass).
    • Non-Contact Forces: Act from a distance. Examples include magnetic force (a compass needle), electrostatic force (a rubbed balloon attracting hair), and gravitational force (a fruit falling from a tree).
  • Effects of Force: A force can change an object’s:
    1. Speed (make it go faster or slower)
    2. Direction of motion
    3. Shape (squeezing a sponge)
  • Key Forces Defined:
    • Friction: A force that opposes motion between surfaces in contact.
    • Gravitational Force: The attractive force exerted by the Earth on all objects. It's what gives objects their weight.
    • Weight: The force with which the Earth pulls an object towards itself. It is measured in newtons (N).

{{VISUAL: chart: A two-column table comparing Mass and Weight. Column 1 (Mass): amount of matter, constant everywhere, unit is kg, measured with a beam balance. Column 2 (Weight): gravitational pull, changes with location, unit is N, measured with a spring balance.}}

{{KEY: type=points | title=Mass vs. Weight | text=- Mass is the amount of matter in an object and is constant everywhere. Its SI unit is the kilogram (kg).

  • Weight is the force of gravity on that mass (W = m × g) and varies depending on the gravitational pull of the planet. Its SI unit is the newton (N).}}

Solved Numericals

The most common calculation you'll encounter in this chapter is finding the weight of an object when you know its mass. Remember, weight is a force!

Hero Formula: Weight = mass × acceleration due to gravity W = m × g

On Earth, the value of g is approximately 9.8 m/s². For easier calculations in Class 8, we can often use g ≈ 10 N/kg or 10 m/s².


Example 1: Weight on Earth A student has a school bag with a mass of 5 kg. What is the weight of the bag on Earth? (Take g = 9.8 m/s²)

  • GIVEN:
    • Mass (m) = 5 kg
    • Acceleration due to gravity on Earth (g) = 9.8 m/s²
  • FORMULA:
    • W = m × g
  • SUBSTITUTION:
    • W = 5 kg × 9.8 m/s²
  • ANSWER:
    • W = 49 N
    • The weight of the school bag is 49 newtons.

Example 2: Weight on the Moon An astronaut has a mass of 72 kg. The gravity on the Moon is one-sixth (1/6) that of the Earth. What is the astronaut's weight on the Moon? (Take g on Earth = 10 m/s²)

  • GIVEN:
    • Mass (m) = 72 kg
    • Gravity on Earth (g_earth) = 10 m/s²
    • Gravity on Moon (g_moon) = (1/6) × g_earth
  • FORMULA:
    • First, find the weight on Earth: W_earth = m × g_earth
    • Then, find the weight on the Moon: W_moon = W_earth ÷ 6 (or W_moon = m × g_moon)
  • SUBSTITUTION:
    • W_earth = 72 kg × 10 m/s² = 720 N
    • W_moon = 720 N ÷ 6
  • ANSWER:
    • W_moon = 120 N
    • The astronaut's weight on the Moon is 120 newtons. (Note: Their mass is still 72 kg!)

{{KEY: type=exam | title=Common Question | text=Examiners frequently ask to differentiate between mass and weight. Remember to state that mass is constant (measured in kg) while weight is a force that changes with gravity (measured in N).}}

Try It Yourself

Now, test your understanding with these problems.

  1. A box of mangoes has a mass of 15 kg. Calculate its weight on Earth. (Use g = 10 m/s²)
  2. If an object weighs 60 N on Earth, what is its mass? (Use g = 10 m/s²)
  3. A rover sent to Mars has a mass of 180 kg. Its weight on Mars is measured to be 666 N. What is the acceleration due to gravity (g) on Mars?

Answer Key:

  1. 150 N
  2. 6 kg
  3. 3.7 m/s²

In this chapter

  • 1.What Is a Force?
  • 2.Different Types of Forces — Contact Forces
  • 3.Different Types of Forces — Non-Contact Forces
  • 4.Weight and Its Measurement
  • 5.Floating and Sinking & Summary & Quick Revision

Frequently asked questions

What Is a Force?

Have you ever ridden a bicycle downhill? You might have noticed that it picks up speed all by itself, even when you aren't pedalling! It feels thrilling, as if something invisible is pulling you forward. That invisible "something" is a **force**. In science, understanding forces is the key to understanding why things m

What is Different Types of Forces — Contact Forces?

In the world around us, forces are constantly at play. They can be as gentle as a breeze pushing a leaf or as powerful as a rocket engine lifting a spaceship. To understand them better, scientists classify forces into two main categories based on one simple question: *Do the objects need to touch each other for the for

What is Different Types of Forces — Non-Contact Forces?

In the previous section, we explored **contact forces** like muscular force and friction, which require objects to be physically touching. But have you ever wondered how a magnet can pull an iron pin without touching it? Or why a fruit falls from a tree towards the ground and not upwards?

What is Weight and Its Measurement?

Have you ever wondered why lifting a small stone is easy, but lifting a large rock is difficult? Or why an apple falls from a tree? The answer to both questions lies in a force we experience every single moment: the force of gravity. But does gravity pull on all objects equally? Let's explore.

What is Floating and Sinking & Summary & Quick Revision?

Have you ever tried to push a beach ball under water? It’s surprisingly difficult! Or have you noticed, as the textbook mentions, that a mug full of water feels much lighter when it's still inside the bucket compared to when you lift it out into the air?

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