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Newton’s Third Law of the Motion and Conservation of the Momentum:Class 11CBSE Physics

Newton’s Third Law of the Motion and Conservation of the Momentum: Newton’s third law of motion states that every action has an equal and opposite reaction. Action and reaction act on two different bodies. The biggest application of Newton’s law of the motion is propulsion of the rocket into space, in the rocket there is an exit at the downward or back portion of the fuel tank, and the fuel is forcibly ejected from the exit in such a way that equal reaction occurs against the action of flushed products which are produced as a result of the combustion of the fuel.The reactive force propels the rocket into the atmosphere and settles down the rocket into the space.

Newton's third law of motion and conservation of momentum

Newton’s Third Law of the Motion and Conservation of the Momentum: Class 11CBSE Physics

In Newton’s third law of motion, the action and reaction pair must have the following condition.

(i)Action and reaction in Newton’s third law are always of the same nature.

(ii)Action and reaction in Newton’s third law act on two different bodies.

(iii)Force always exist in pair.

Example: An object kept on a plane, the force exerted by an object to another object(plane) is the normal reaction which is equal to the force exerted by another object(plane) to the previous object is the normal reaction. In this case, gravitational force or weight(mg) which acts on the object in the downward direction, and normal reaction are not the action and reaction pair while both of them are equal because mg and N are not of a similar nature and also act on the same object.

In this case, the object also pulls the earth by the same force mg that makes the action-reaction pair with the weight of the object.

Newton's third law

Here, NPO,NOP and MgEO,MgOE are the action and reaction pair in Newton’s thirld law of motion.

Where,

NPO is the normal reaction from plane to object

NOP is the noral reaction from object to the plane

MgEO is the gravitational force applied by the earth to object

MgOE is the gravitational force applied by the object to the earth

Conservation of the momentum:In an isolated system the momentum of the system is always constant or the change in momentum is zero. The net force on the isolated system is 0, we have

Fnet =0

Fnet =ΔP/ΔT

0 =ΔP/ΔT

ΔP = 0

Therefore P is constant

Let initial momentum of the system is PI  and and final momentum is PF

Then

PI  = PF

Let there are two marbles of the masses  m1  and mmoving with a velocities u1 and u2colloids to each other and after collision their velocities turnes to v1 and v2

Then

PI  =   m1 u1 + m2 u1

P= m1 v1 + m2 v2

Therefore

m1 u1 + m2 u1= m1 v1 + m2 v2

Note: Isolated system means no any external force is applied on the system.

Conservation of the momentum by the third law: Class 11 CBSE Physics

Let two marbles collide to each other, then the force applied by one marble to another marble is F and according to Newton’s third law, second marble will also apply the same force to the first marble.

Let two marbles are A and B and the forces applied by them to each other are FAB and FBA

FAB =- FBA

Let the acceleration produced by the forces on the marbles are a1 and a2

FAB =m1a1=m1(v1-u1)/t

FBA =m2a2=m2(v2-u2)/t

m1(v1-u1)/t =-m2(v2-u2)/t

m1(v1-u1) =-m2(v2-u2)

m1v1-m1u1 = -m2v2+m2u2

m1u+m2u2=m1v+ m2v2

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NCERT Solutions of Science and Maths for Class 9,10,11 and 12

NCERT Solutions for class 9 maths

Chapter 1- Number System Chapter 9-Areas of parallelogram and triangles
Chapter 2-Polynomial Chapter 10-Circles
Chapter 3- Coordinate Geometry Chapter 11-Construction
Chapter 4- Linear equations in two variables Chapter 12-Heron’s Formula
Chapter 5- Introduction to Euclid’s Geometry Chapter 13-Surface Areas and Volumes
Chapter 6-Lines and Angles Chapter 14-Statistics
Chapter 7-Triangles Chapter 15-Probability
Chapter 8- Quadrilateral

NCERT Solutions for class 9 science 

Chapter 1-Matter in our surroundings Chapter 9- Force and laws of motion
Chapter 2-Is matter around us pure? Chapter 10- Gravitation
Chapter3- Atoms and Molecules Chapter 11- Work and Energy
Chapter 4-Structure of the Atom Chapter 12- Sound
Chapter 5-Fundamental unit of life Chapter 13-Why do we fall ill ?
Chapter 6- Tissues Chapter 14- Natural Resources
Chapter 7- Diversity in living organism Chapter 15-Improvement in food resources
Chapter 8- Motion Last years question papers & sample papers

NCERT Solutions for class 10 maths

Chapter 1-Real number Chapter 9-Some application of Trigonometry
Chapter 2-Polynomial Chapter 10-Circles
Chapter 3-Linear equations Chapter 11- Construction
Chapter 4- Quadratic equations Chapter 12-Area related to circle
Chapter 5-Arithmetic Progression Chapter 13-Surface areas and Volume
Chapter 6-Triangle Chapter 14-Statistics
Chapter 7- Co-ordinate geometry Chapter 15-Probability
Chapter 8-Trigonometry

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NCERT Solutions for Class 10 Science

Chapter 1- Chemical reactions and equations Chapter 9- Heredity and Evolution
Chapter 2- Acid, Base and Salt Chapter 10- Light reflection and refraction
Chapter 3- Metals and Non-Metals Chapter 11- Human eye and colorful world
Chapter 4- Carbon and its Compounds Chapter 12- Electricity
Chapter 5-Periodic classification of elements Chapter 13-Magnetic effect of electric current
Chapter 6- Life Process Chapter 14-Sources of Energy
Chapter 7-Control and Coordination Chapter 15-Environment
Chapter 8- How do organisms reproduce? Chapter 16-Management of Natural Resources

NCERT Solutions for class 11 maths

Chapter 1-Sets Chapter 9-Sequences and Series
Chapter 2- Relations and functions Chapter 10- Straight Lines
Chapter 3- Trigonometry Chapter 11-Conic Sections
Chapter 4-Principle of mathematical induction Chapter 12-Introduction to three Dimensional Geometry
Chapter 5-Complex numbers Chapter 13- Limits and Derivatives
Chapter 6- Linear Inequalities Chapter 14-Mathematical Reasoning
Chapter 7- Permutations and Combinations Chapter 15- Statistics
Chapter 8- Binomial Theorem  Chapter 16- Probability

CBSE Class 11-Question paper of maths 2015

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NCERT Solutions for Class 11 Physics

Chapter 1- Physical World

chapter 3-Motion in a Straight Line

NCERT Solutions for Class 11 Chemistry

Chapter 1-Some basic concepts of chemistry

Chapter 2- Structure of Atom

NCERT Solutions for Class 11 Biology

Chapter 1 -Living World

NCERT solutions for class 12 maths

Chapter 1-Relations and Functions Chapter 9-Differential Equations
Chapter 2-Inverse Trigonometric Functions Chapter 10-Vector Algebra
Chapter 3-Matrices Chapter 11 – Three Dimensional Geometry
Chapter 4-Determinants Chapter 12-Linear Programming
Chapter 5- Continuity and Differentiability Chapter 13-Probability
Chapter 6- Application of Derivation CBSE Class 12- Question paper of maths 2021 with solutions
Chapter 7- Integrals
Chapter 8-Application of Integrals

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