Newton's Laws of Motion - Notes, Topics, Formulas, Books, FAQs

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# Newton's Laws of Motion - Notes, Topics, Formulas, Books, FAQs

Edited By Team Careers360 | Updated on Oct 12, 2023 11:45 AM IST

## Newton's Laws of Motion

Laws of motion are the laws given by Newton regarding the motion of objects. You are already familiar with the Newton's laws of motion as you apply or observe these laws on a daily basis in various daily activities. This chapter helps you to understand these laws in mathematical forms with some suitable examples. For example, you know that if you apply the same force on an elephant and on football as shown in the below figure then the football will move more quickly than the elephant.

This is nothing but Newton's 2nd law which mathematically says

F=ma where F= Force on the body, m=mass of the body and a= acceleration of the body.

So as a mass of football is less than that of an elephant So for same force football will have more acceleration, and will move quickly.

Newton's Laws of motion is a very basic and important chapter from the mechanics part of physics. It is very important to master the concepts from this chapter at an early stage as this forms the basis of your preparation for all competitive exam. This chapter is very important because it will test your knowledge of the chapter Kinematics, and it will be also useful and crucial for you for solving questions from the next chapters namely Work Energy and Power, Rotational Motion and to some extent gravitation. This chapter will also tell you how important these laws are in our daily life as well as studying physics.

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## Notes on Newton's Laws of motion-

So we will discuss step by step about important topics from this chapter followed by an overview of this chapter.

Then we will understand important formulas from this chapter. Remembering these formulas will increase your speed while question-solving.

## Newton's Laws of motion Overview

In this chapter, we will learn about the various force and laws of motion. As you know that if you have to move stationary body you will have to apply force, similarly if you have to stop a moving body then also you have to apply force. This is nothing but Newton's 1st law which you will learn in this chapter and which says every object will remain at rest or in uniform motion until we don't apply any external force to change its state. And very important and interesting law which is third laws of motion which states that for every action (force) in nature there is an equal and opposite reaction. We see various examples and application of Newton's laws of motion in our ur day to day activities. Walking, Bouncing Of Ball, Rocket Propulsion all have an application of Newton's third law. In this chapter, you will also learn about Inertia and its type, Momentum, Force and its types with example and Impulse, friction and its types, etc. In this chapter, you will deal with forces like Weight, Reaction or Normal Force, Tension, Spring force, etc. You will also be able to add these forces with the help of various force vector addition laws like parallelogram law of force and polygon law of forces to get resultant forces. You will learn about friction which is nothing but an Opposing Force which is parallel to the surface and opposite to the direction of Relative Motion.

Newton's Laws of motion Formulas

• For equilibrium,

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$\sum \vec{F_{net}}= 0$

$or$ $\sum \vec{F_{x}}= 0,\sum \vec F_{y}= 0, \sum \vec F_{z}= 0$

• Lami’s theorem-

$\frac{F_{1}}{sin\alpha }=\frac{F_{2}}{sin\beta }=\frac{F_{3}}{sin\gamma }$

• Spring force-

$F= -Kx$

• Newton's 2nd Law

F=ma

• Newton's 3rd Law

$\vec{F_{AB}}=-\vec{F_{BA}}$

• Linear Momentum

$\overrightarrow{P}=M\times\vec V$

• Impulse=$\vec{I}=\int_{t_{1}}^{t_{2}}\vec{F}\cdot dt$

• Impulse-Momentum Theorem-

$\int_{t_{1}}^{t_{2}}\vec{F}dt=\int_{p_{1}}^{p_{2}}\vec{dp}$

• Centripetal Force= $F=m\omega ^2r$

• Kinetic friction force =$f_{K}=\mu_{K} R$

• Limiting Friction force=$f_{l}=\mu_{s}R$

NCERT Notes Subject Wise Link:

## How to prepare Newton's Laws of motion

First, you should have good command over the concepts of the Newton's Laws of motion and you should also know how to apply them well at the time of the entrance exam or while solving questions. Please try to understand each concept from this chapter, with the help of theory, questions with solutions and video lectures on each important concept. For each concept practice enough problems so that you have a thorough understanding of the concept. Solve all the questions at home with proper concentration and try to do all calculation by yourself without seeing the solution first.

How to Solve Newton's Laws of motion questions.

1. Choose a convenient system.

2. Draw a diagram which schematically shows the various parts of a system.

3. Draw the free-body diagram of each part of the system.

4. In a free-body diagram, you must include information about forces (their magnitudes and directions).

5. The rest should be treated as unknowns or to be determined using laws of motion.

6. Apply Newton's third law wherever necessary.

If a system is in equilibrium or all the forces working on a body are Concurrent Forces then calculation in the questions became easy. Problems related to Recoiling of Gun, Firing of Bullet, Rocket Propulsion needs a clear understanding of the concept and neat and clean calculation to avoid negative marking. Question on the friction gets more and more complicated when we involve more blocks in contact, inclined planes, pulleys, etc, variable external force, etc. But you can solve these questions with ease with proper study.

## Newton's Laws of motion Tips

1. This chapter is more of a concept based chapter there is very little to memorize, hence practice is the key here for getting a good hold on this chapter.

2. Lots of question will ask you to draw FBD so draw clear FBD and then solve the questions. This will increase your accuracy.

3. Make a plan to prepare for this chapter and Stick to a Timetable.

4. Study the concept first and then start solving Laws of motion questions. Don't go through question directly without knowing the concept.

5. Solve previous year question of various exam from this chapter.

6. Use smart methods to solve questions.

Because as said by Matshona Dhliwayo

“Work hard, and you will earn good rewards.

Work smart, and you will earn great rewards.

Work hard and work smart, and you will earn extraordinary rewards"

## Newton's Laws of motion Books

For Newton's Laws of motions, chapter concepts in NCERT are enough but you will have to practice lots of questions including previous year questions and you can follow other standard books available for competitive exam preparation like Concepts of Physics (H. C. Verma) and Understanding Physics by D. C. Pandey (Arihant Publications).

NCERT Solutions Subject wise link:

NCERT Exemplar Solutions Subject wise link:

Get answers from students and experts

5 g of Na2SO4 was dissolved in x g of H2O. The change in freezing point was found to be 3.820C.  If Na2SO4 is 81.5% ionised, the value of x (K for water=1.860C kg mol−1) is approximately : (molar mass of S=32 g mol−1 and that of Na=23 g mol−1)
Option: 1  15 g
Option: 2  25 g
Option: 3  45 g
Option: 4  65 g

50 mL of 0.2 M ammonia solution is treated with 25 mL of 0.2 M HCl.  If pKb of ammonia solution is 4.75, the pH of the mixture will be :
Option: 1 3.75
Option: 2 4.75
Option: 3 8.25
Option: 4 9.25

$CH_3-CH=CH-CH_3+Br_2\overset{CCl_4}{\rightarrow}A$

What is A?

Option: 1

Option: 2

Option: 3

Option: 4

None

when heated gives a white solid A and two gases B and C. B and C are two important atmospheric gases. What is A, B and C ?

Option: 1

$\mathrm{A}: \mathrm{NaNO}_2 \mathrm{~B}: \mathrm{O}_2 \mathrm{C}: \mathrm{N}_2$

Option: 2

$A: \mathrm{Na}_2 \mathrm{OB}: \mathrm{O}_2 \mathrm{C}: \mathrm{N}_2$

Option: 3

$A: \mathrm{NaNO}_2 \mathrm{~B}: \mathrm{O}_2 \mathrm{C}: \mathrm{Cl}_2$

Option: 4

$\mathrm{A}: \mathrm{Na}_2 \mathrm{OB}: \mathrm{O}_2 \mathrm{C}: \mathrm{Cl}_2$

$C_1+2 C_2+3 C_3+\ldots .n C_n=$

Option: 1

$2^n$

Option: 2

$\text { n. } 2^n$

Option: 3

$\text { n. } 2^{n-1}$

Option: 4

$n \cdot 2^{n+1}$

A capacitor is made of two square plates each of side 'a' making a very small angle between them, as shown in the figure. The capacitance will be close to :
Option: 1

Option: 2

Option: 3

Option: 4

Among the following compounds, the increasing order of their basic strength is
Option: 1  (I) < (II) < (IV) < (III)
Option: 2  (I) < (II) < (III) < (IV)
Option: 3  (II) < (I) < (IV) < (III)
Option: 4  (II) < (I) < (III) < (IV)

An ideal gas undergoes a quasi static, reversible process in which its molar heat capacity C remains constant.  If during  this process the relation of pressure P and volume V is given by PVn=constant,  then n is given by (Here CP and CV are molar specific heat at constant pressure and constant volume, respectively)
Option: 1  $n=\frac{C_{p}}{C_{v}}$

Option: 2  $n=\frac{C-C_{p}}{C-C_{v}}$

Option: 3 $n=\frac{C_{p}-C}{C-C_{v}}$

Option: 4  $n=\frac{C-C_{v}}{C-C_{p}}$

As shown in the figure, a battery of emf is connected to an inductor L and resistance R in series. The switch is closed at t = 0. The total charge that flows from the battery, between t = 0 and t = tc (tc is the time constant of the circuit ) is :

Option: 1
Option: 2

Option: 3

Option: 4

As shown in the figure, a particle of mass 10 kg is placed at a point A. When the particle is slightly displaced to its right, it starts moving and reaches the point B. The speed  of the particle at B is x m/s. (Take g = 10 m/s2 ) The value of 'x' to the nearest is ___________.
Option: 1 10
Option: 2 20
Option: 3 40
Option: 4 15

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##### Production Manager

Production Manager Job Description: A Production Manager is responsible for ensuring smooth running of manufacturing processes in an efficient manner. He or she plans and organises production schedules. The role of Production Manager involves estimation, negotiation on budget and timescales with the clients and managers.

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A Team Leader is a professional responsible for guiding, monitoring and leading the entire group. He or she is responsible for motivating team members by providing a pleasant work environment to them and inspiring positive communication. A Team Leader contributes to the achievement of the organisation’s goals. He or she improves the confidence, product knowledge and communication skills of the team members and empowers them.

2 Jobs Available
##### Quality Systems Manager

A Quality Systems Manager is a professional responsible for developing strategies, processes, policies, standards and systems concerning the company as well as operations of its supply chain. It includes auditing to ensure compliance. It could also be carried out by a third party.

2 Jobs Available
##### Merchandiser

A career as a merchandiser requires one to promote specific products and services of one or different brands, to increase the in-house sales of the store. Merchandising job focuses on enticing the customers to enter the store and hence increasing their chances of buying a product. Although the buyer is the one who selects the lines, it all depends on the merchandiser on how much money a buyer will spend, how many lines will be purchased, and what will be the quantity of those lines. In a career as merchandiser, one is required to closely work with the display staff in order to decide in what way a product would be displayed so that sales can be maximised. In small brands or local retail stores, a merchandiser is responsible for both merchandising and buying.

2 Jobs Available
##### Procurement Manager

The procurement Manager is also known as  Purchasing Manager. The role of the Procurement Manager is to source products and services for a company. A Procurement Manager is involved in developing a purchasing strategy, including the company's budget and the supplies as well as the vendors who can provide goods and services to the company. His or her ultimate goal is to bring the right products or services at the right time with cost-effectiveness.

2 Jobs Available
##### Production Planner

Individuals who opt for a career as a production planner are professionals who are responsible for ensuring goods manufactured by the employing company are cost-effective and meets quality specifications including ensuring the availability of ready to distribute stock in a timely fashion manner.

2 Jobs Available
##### Information Security Manager

Individuals in the information security manager career path involves in overseeing and controlling all aspects of computer security. The IT security manager job description includes planning and carrying out security measures to protect the business data and information from corruption, theft, unauthorised access, and deliberate attack

3 Jobs Available
##### Computer Programmer

Careers in computer programming primarily refer to the systematic act of writing code and moreover include wider computer science areas. The word 'programmer' or 'coder' has entered into practice with the growing number of newly self-taught tech enthusiasts. Computer programming careers involve the use of designs created by software developers and engineers and transforming them into commands that can be implemented by computers. These commands result in regular usage of social media sites, word-processing applications and browsers.

3 Jobs Available
##### Product Manager

A Product Manager is a professional responsible for product planning and marketing. He or she manages the product throughout the Product Life Cycle, gathering and prioritising the product. A product manager job description includes defining the product vision and working closely with team members of other departments to deliver winning products.

3 Jobs Available
##### ITSM Manager

ITSM Manager is a professional responsible for heading the ITSM (Information Technology Service Management) or (Information Technology Infrastructure Library) processes. He or she ensures that operation management provides appropriate resource levels for problem resolutions. The ITSM Manager oversees the level of prioritisation for the problems, critical incidents, planned as well as proactive tasks.

3 Jobs Available
##### .NET Developer

.NET Developer Job Description: A .NET Developer is a professional responsible for producing code using .NET languages. He or she is a software developer who uses the .NET technologies platform to create various applications. Dot NET Developer job comes with the responsibility of  creating, designing and developing applications using .NET languages such as VB and C#.

2 Jobs Available
##### Corporate Executive

Are you searching for a Corporate Executive job description? A Corporate Executive role comes with administrative duties. He or she provides support to the leadership of the organisation. A Corporate Executive fulfils the business purpose and ensures its financial stability. In this article, we are going to discuss how to become corporate executive.

2 Jobs Available
##### DevOps Architect

A DevOps Architect is responsible for defining a systematic solution that fits the best across technical, operational and and management standards. He or she generates an organised solution by examining a large system environment and selects appropriate application frameworks in order to deal with the system’s difficulties.

2 Jobs Available
##### Cloud Solution Architect

Individuals who are interested in working as a Cloud Administration should have the necessary technical skills to handle various tasks related to computing. These include the design and implementation of cloud computing services, as well as the maintenance of their own. Aside from being able to program multiple programming languages, such as Ruby, Python, and Java, individuals also need a degree in computer science.

2 Jobs Available
Static Friction - Definition, Laws, FAQs

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Tension - Definition, Examples, Units, Formula, FAQs

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Relation between Newton and Dyne

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