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Law of Motion

Laws of Motion

Laws of Motion

A complete physics learning website covering Newton’s Laws of Motion, force, inertia, momentum, friction, circular motion, formulas, flowcharts, diagrams, solved examples, and practice exercises for students.

1. Introduction to Laws of Motion

The laws of motion were proposed by Sir Isaac Newton. These laws explain the relationship between force and motion.

Force Applied
Body Accelerates
Motion Changes
Newton’s Laws

Main Topics

  • Force
  • Inertia
  • Momentum
  • Action and Reaction
  • Friction

2. Newton’s First Law of Motion

An object remains at rest or in uniform motion in a straight line unless acted upon by an external force.

This law is also called the Law of Inertia.

Inertia

Inertia is the property of a body to resist any change in its state.

Motion Ball

Example

Passengers move backward when a bus starts suddenly because their body tries to remain in the state of rest.

3. Newton’s Second Law of Motion

The rate of change of momentum is directly proportional to the applied force.

Force = Mass × Acceleration
F = ma

Meaning of Formula

SymbolMeaning
FForce
mMass
aAcceleration
Block Force

Solved Problem

A force produces an acceleration of 5 m/s² in a body of mass 10 kg. Find the force.

Given:

m = 10 kg

a = 5 m/s²

F = ma

F = 10 × 5

F = 50 N

4. Newton’s Third Law of Motion

For every action, there is an equal and opposite reaction.
Action Reaction

Examples

  • Rocket launch
  • Walking on ground
  • Swimming
  • Gun recoil

5. Momentum

Momentum is the quantity of motion possessed by a body.

Momentum = Mass × Velocity
p = mv
Mass
×
Velocity
=
Momentum

Example

A body of mass 5 kg moves with velocity 4 m/s. Find momentum.

p = mv

p = 5 × 4

p = 20 kg m/s

6. Friction

Friction is the force that opposes relative motion between surfaces.

Applied Force Friction

Types of Friction

  • Static friction
  • Sliding friction
  • Rolling friction
  • Fluid friction

7. Circular Motion

Motion of an object along a circular path is called circular motion.

Centripetal Force = mv² / r
Centripetal Force

8. Practice Exercises

Short Questions

  1. State Newton’s first law.
  2. Define inertia.
  3. Write formula of force.
  4. State Newton’s third law.
  5. Define momentum.

Numerical Problems

  1. Find force acting on a 20 kg body accelerating at 3 m/s².
  2. Calculate momentum of a 4 kg body moving at 6 m/s.
  3. A force of 80 N acts on a body of mass 10 kg. Find acceleration.
  4. Find centripetal force for m = 2 kg, v = 5 m/s, r = 2 m.

9. Formula Summary

TopicFormula
ForceF = ma
Momentump = mv
Centripetal ForceF = mv²/r
Accelerationa = (v-u)/t

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