Physics · Class 11 Science
Ch 4Laws of Motion — Class 11 Physics, concept-first.
Force, in everyday language, is any push or pull that can start a body moving, stop a moving body, speed it up, slow it down, or change the direction in which it is travelling; a force can also change a body's shape (squeezing a rubber ball, stretching a spring).
Key concepts
Hover a concept to preview it and jump to its most relevant Q&A.
Newton's Second Law and Momentum
Momentum is defined as . Newton's second law states that the net external force on a body equals the rate of change of its momentum, , which reduces to the familiar specifically when the body's mass stays constant.
Most relevant Q&A
- State Newton's second law of motion in terms of the rate of change of momentum, and show how the familiar equation $F = ma$ follows from it…Free
- A resultant force of $15\ \text{N}$ acts on a block of mass $3\ \text{kg}$ that is initially at rest on a frictionless surface. Find (a) the…Free
- A block A of mass $4\ \text{kg}$ rests on a frictionless horizontal table and is connected by a light inextensible string, passing over a fr…Free
- Two blocks of masses $3\ \text{kg}$ and $5\ \text{kg}$ are connected by a light inextensible string passing over a frictionless, massless pu…Free
In previous exams
How often this chapter’s concepts have been examined — real appearance data, never estimated.
Chapter contents
The NCERT structure, section by section. Open a section to see its questions, then read the concept-first solution.
Intuitive Concept of Force and Inertia
Force, in everyday language, is any push or pull that can start a body moving, stop a moving body, speed it up, slow it down, or change the direction in which it is travelling; a force can also change…
Newton's First Law of Motion
Newton's first law of motion states: a body continues in its state of rest, or of uniform motion in a straight line, unless it is compelled to change that state by some external force acting on it.
Momentum and Newton's Second Law of Motion
Before stating Newton's second law, it helps to introduce the quantity it is actually written in terms of: linear momentum. The momentum of a body of mass moving with velocity is defined as
Impulse and the Concept of Impulsive Force
Many real forces -- a bat striking a cricket ball, a hammer striking a nail, one billiard ball colliding with another, an airbag decelerating a passenger -- act only for an extremely short interval of…
Newton's Third Law of Motion and Its Examples
Newton's third law of motion states: to every action there is an equal and opposite reaction, or more precisely, whenever one body exerts a force on a second body, the second body simultaneously exert…
Law of Conservation of Linear Momentum and Its Applications
Consider an isolated system of two (or more) bodies on which no net external force acts -- meaning that any forces present are only the internal forces the bodies within the system exert on one anothe…
Free Body Diagrams
A free body diagram is a simplified sketch used to analyse the forces acting on one single, chosen body in a mechanics problem, in isolation from everything else around it. To draw one correctly:
Equilibrium of Concurrent Forces
Several forces are said to be concurrent when the lines along which they act all pass through one single common point, even though the forces themselves may point in entirely different directions.
Static and Kinetic Friction; Laws of Friction
Friction is the force that appears at the surface of contact between two bodies whenever one tends to slide, or actually slides, over the other, and it always acts along the contact surface, in the di…
Angle of Friction, Angle of Repose, and Rolling Friction
Angle of friction. When a body rests on a rough surface at the point of limiting equilibrium (an applied force has just reached the value at which sliding is about to begin), the two separate contact…
Dynamics of Uniform Circular Motion and Centripetal Force
A body moving in a circular path at a constant speed is said to undergo uniform circular motion. Even though its speed never changes, such a body is not moving with constant velocity, because velocity…
Circular Motion in Practice: Cyclist, Level Road, and Banked Road
Building directly on the general result of Section 4.11 -- that circular motion at constant speed always requires a net inward (centripetal) force of magnitude , supplied by whatever real force fits t…
Centrifugal Force: The Pseudo-Force in a Rotating Frame
This section treats centrifugal force as its own dedicated topic, because it is one of the most commonly misunderstood ideas in the whole of circular-motion dynamics -- and the key to understanding it…
Summary
This chapter developed WBCHSE Unit 3's account of the laws of motion in the following order. Newton's first law defines inertia and identifies inertial frames.
Sample & Board Papers
Sample papers and previous-year board questions for this subject.
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- Q1The maximum speed that can be attained by a car, without skidding, on a horizontal circular road of radius R and coefficient of kinetic fric…Preview
- Q2A car of mass M moves upward with a constant speed v along an inclined road making an angle θ with the horizontal. If μ be the coefficient o…Preview
- Q3Define coefficient of static friction. An object of weight W rests on an inclined plane. The coefficient of friction between the object and…Preview
- Q4a) A balloon of mass m is descending with an acceleration α. What mass should be dropped from the balloon so that it starts moving upward wi…Preview
More questions
28 Q+−Show 7 questionsHide questions7 questions
- Example 1State Newton's second law of motion in terms of the rate of change of momentum, and show how the familiar equation $F = ma$ follows from it…Free
- Example 2A resultant force of $15\ \text{N}$ acts on a block of mass $3\ \text{kg}$ that is initially at rest on a frictionless surface. Find (a) the…Free
- Example 3A cricket ball of mass $0.15\ \text{kg}$ moving at $12\ \text{m/s}$ towards a batsman is hit back along the same line at $20\ \text{m/s}$ in…Free
- Example 4A gun of mass $4\ \text{kg}$, initially at rest, fires a bullet of mass $0.04\ \text{kg}$ with a muzzle velocity of $300\ \text{m/s}$. Find…Preview
- Example 5A block of mass $10\ \text{kg}$ rests on a rough horizontal floor for which the coefficient of static friction is $0.4$. Find the maximum st…Preview
- Example 6A car of mass $1200\ \text{kg}$ moves round a level (unbanked) circular curve of radius $50\ \text{m}$ at a constant speed of $54\ \text{km/…Preview
- Example 7A circular road is banked at an angle of $15^\circ$ for vehicles moving at $20\ \text{m/s}$, with friction assumed absent (ideal banking). F…Preview
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- Q8A passenger standing in a bus that suddenly stops lurches forward, while a passenger in a bus that suddenly starts moving is thrown backward…Free
- Q9Define momentum and impulse. Starting from Newton's second law, $F = \dfrac{dp}{dt}$, show that for a force acting over a short interval $\D…Free
- Q10A body of mass $0.5\ \text{kg}$ moving in a straight line has its velocity changed from $5\ \text{m/s}$ to $15\ \text{m/s}$ (in the same dir…Free
- Q11State Newton's third law of motion. Use it to explain how a rocket is able to accelerate itself forward even in the vacuum of outer space, w…Preview
- Q12Two ice skaters of masses $50\ \text{kg}$ and $70\ \text{kg}$, standing together at rest on frictionless ice, push each other apart. If the…Preview
- Q13A block of mass $m$ rests on a frictionless inclined plane of angle $\theta$ and is held in place by a light string running parallel to the…Preview
- Q14Three concurrent forces of magnitudes $10\ \text{N}$, $10\ \text{N}$, and $10\sqrt{2}\ \text{N}$ keep a point in equilibrium. The first two…Preview
- Q15A trunk of mass $20\ \text{kg}$ is dragged at constant velocity across a horizontal floor by a horizontal force of $60\ \text{N}$. Calculate…Preview
- Q16Define the angle of repose. By considering a block on the verge of sliding down a rough inclined plane under gravity alone, show that the an…Preview
- Q17A stone of mass $0.2\ \text{kg}$, tied to a string of length $1\ \text{m}$, is whirled in a horizontal circle at a constant speed of $4\ \te…Preview
- Q18A passenger sitting in a car that takes a sharp turn feels pushed outward, towards the door. Explain whether this outward push is a real for…Preview
- Q19It is far easier to roll a heavy drum along level ground than to slide it. Which type of friction is responsible for this difference, why is…Preview
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- Q20A block A of mass $4\ \text{kg}$ rests on a frictionless horizontal table and is connected by a light inextensible string, passing over a fr…Free
- Q21A ball of mass $0.5\ \text{kg}$ is dropped from a height of $5\ \text{m}$ and rebounds to a height of $3.2\ \text{m}$ after striking the gro…Free
- Q22Two blocks of masses $3\ \text{kg}$ and $5\ \text{kg}$ are connected by a light inextensible string passing over a frictionless, massless pu…Free
- Q23A car of mass $1000\ \text{kg}$ travels at $20\ \text{m/s}$ around a circular curve of radius $100\ \text{m}$ that is banked at just the rig…Preview
- Q24A block of mass $5\ \text{kg}$ rests on a horizontal floor for which the coefficient of static friction is $0.5$ and the coefficient of kine…Preview
- Q25A cyclist rides in a circle of radius $20\ \text{m}$ at a speed of $5\ \text{m/s}$ on a level road. At what angle to the vertical must the c…Preview
- Q26A block of mass $2\ \text{kg}$ is placed on top of a block of mass $3\ \text{kg}$, which itself rests on a frictionless floor. The coefficie…Preview
- Q27A car of mass $1500\ \text{kg}$ negotiates a curve of radius $250\ \text{m}$, banked at $10^\circ$, where the coefficient of static friction…Preview
- Q28A rider of mass $40\ \text{kg}$ sits at the rim of a merry-go-round of radius $4\ \text{m}$ rotating at a constant angular speed. In the rot…Preview