CBSE · Class 9 · Science · Chapter 10

Chapter 10
Gravitation

Complete chapter resources for CBSE Class 9 Science — topic breakdown, key formulas, sample questions, previous year board questions, and instant AI question paper generation.

4Topics
5–7Board marks
8Sample questions
3PYQ included

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Key Formulas — Chapter 10
  • Universal law: F = G × (m₁ × m₂) / d²
  • G (constant): 6.674 × 10⁻¹¹ N m² kg⁻²
  • Acceleration due to gravity: g = GM / R² ≈ 9.8 m/s²
  • Weight: W = m × g
  • Free-fall velocity: v = u + gt ; s = ut + ½gt²
  • Buoyant force: F_b = ρ_fluid × V_displaced × g

What this chapter covers

Chapter 10 of CBSE Class 9 Science introduces gravitation — the universal force of attraction between any two objects that have mass. Newton's Universal Law of Gravitation states that this force is directly proportional to the product of the masses and inversely proportional to the square of the distance between them: F = G m₁m₂ / d². The gravitational constant G = 6.674 × 10⁻¹¹ N m² kg⁻² is the same everywhere in the universe, while the acceleration due to gravity g at Earth's surface is approximately 9.8 m/s² and varies with altitude and depth.

The chapter explores free fall — motion under gravity alone with no other forces acting. All objects in free fall experience the same acceleration g regardless of their mass, which is why a stone and a feather fall together in a vacuum. Students apply the three equations of uniformly accelerated motion (with a = g) to solve numerical problems on falling bodies and objects thrown upward. The chapter also distinguishes clearly between mass (an intrinsic property, measured in kg) and weight (a force = mg, measured in Newtons).

The final topics cover thrust, pressure, and Archimedes' principle. Archimedes' principle states that the buoyant force on a submerged object equals the weight of fluid displaced — explaining why ships float and helium balloons rise. The concept of relative density (density of a substance relative to water) ties these ideas together and frequently appears in 2-mark board questions asking students to predict whether an object will float or sink.

What's inside Chapter 10

As per NCERT Class 9 Science (CBSE syllabus)

Topic 1
Universal Law of Gravitation
Newton's gravitational law F = Gm₁m₂/d². Value and significance of G. Why the Moon orbits Earth and planets orbit the Sun. Gravitational force between everyday objects.
Topic 2
Free Fall & Acceleration Due to Gravity
Definition of free fall. Deriving g = GM/R² ≈ 9.8 m/s². Equations of motion applied to free fall. Variation of g with altitude, depth, and on the Moon vs Earth.
Topic 3
Mass and Weight
Mass as an intrinsic measure of matter (kg); weight as a force W = mg (Newtons). Weight on Moon ≈ one-sixth weight on Earth. Distinction between mass and weight in board questions.
Topic 4
Thrust, Pressure & Archimedes' Principle
Thrust and pressure in fluids. Archimedes' principle: buoyant force = weight of fluid displaced. Conditions for floating and sinking. Relative density and its calculation.

How this chapter fits in

Useful for setting question difficulty and cross-chapter papers.

Builds on
Ch 8 · Motion
Equations of motion — applied here to free fall under g
Ch 9 · Force and Laws of Motion
Newton's second law F = ma underpins W = mg
Chapter 10 Gravitation
Leads to
Class 11 · Gravitation
Orbital velocity, escape velocity, gravitational potential energy
Class 11 · Mechanical Properties of Fluids
Bernoulli's theorem, viscosity, surface tension

Marks & question-type breakdown

Typical pattern based on CBSE Class 9 Science annual exam papers from the last five years.

Question type Marks Typical count What's usually tested
MCQ / Objective 1 1 Value of G, g on Moon, condition for floating/sinking
Very Short Answer 2 1–2 Difference between mass and weight, state Archimedes' principle
Short Answer 3 1 Numerical on free fall, derive g = GM/R², calculate buoyant force
Long Answer / Numerical 5 0–1 Multi-step free fall problem or comprehensive Archimedes' application
Total (approximate) 5–7 3–4 Weightage varies across paper sets and schools

8 sample questions — generated by MarksZen AI

Aligned to CBSE Class 9 Science Chapter 10. Covers all question types across Easy, Medium, and Hard difficulty.

Q1 Easy 1 mark MCQ
The value of universal gravitational constant G is: (a) 9.8 N m² kg⁻² (b) 6.674 × 10⁻¹¹ N m² kg⁻² (c) 6.674 × 10¹¹ N m² kg⁻² (d) 9.8 × 10⁻¹¹ N m² kg⁻²
Q2 Easy 2 marks Short Answer
Differentiate between mass and weight. State the SI unit of each.
Q3 Medium 2 marks Short Answer
State Archimedes' principle. A wooden block is placed in water and observed to float. What does this tell you about the density of the block compared to water?
Q4 Medium 3 marks Numerical
A stone is dropped from the top of a tower 80 m high. Taking g = 10 m/s², calculate: (i) the time taken to reach the ground, (ii) the velocity with which it strikes the ground.
Q5 Medium 3 marks Short Answer
State Newton's Universal Law of Gravitation and write the mathematical expression. What happens to the gravitational force between two objects if (i) the mass of one object is doubled, and (ii) the distance between them is doubled?
Q6 Hard 4 marks Numerical
A ball is thrown vertically upward with a velocity of 49 m/s. Taking g = 9.8 m/s², find: (i) the maximum height reached, (ii) the time taken to reach the maximum height, (iii) the total time of flight before returning to the starting point.
Q7 Hard 5 marks Word Problem
An object of mass 50 kg is placed on a table on Earth. (i) Calculate its weight on Earth (g = 9.8 m/s²). (ii) What will be its weight on the Moon (g_Moon = 1.63 m/s²)? (iii) Will the mass of the object change on the Moon? Justify. (iv) A lead ball and a cotton ball of equal mass are dropped simultaneously from the same height in vacuum — which hits the ground first? Explain.
Q8 Hard 5 marks Case-Based
A metal block of mass 200 g and volume 40 cm³ is submerged in water (density = 1 g/cm³). Taking g = 10 m/s²: (i) Calculate the buoyant force acting on the block. (ii) Calculate the weight of the block in air. (iii) Calculate the apparent weight of the block in water. (iv) Will the block float or sink? Justify using relative density.
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From CBSE board examinations

Actual questions from past Class 9 Science board papers — Gravitation chapter.

Board 20222 marks
State Newton's Universal Law of Gravitation. Write the SI unit of the universal gravitational constant G. (CBSE 2022)
Board 20233 marks
A stone is released from the top of a tower of height 19.6 m. Calculate its final velocity just before touching the ground. (Take g = 9.8 m/s²) (CBSE 2023)
Board 20202 marks
State Archimedes' principle. A body weighs 650 N in air and 360 N when fully submerged in water. Calculate the buoyant force and the volume of the body. (Density of water = 1000 kg/m³, g = 10 m/s²) (CBSE 2020)

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Questions teachers ask

How many marks does Gravitation carry in the CBSE Class 9 Science exam? +
Gravitation typically carries 5–7 marks in the Class 9 Science annual exam, spread across 2–3 questions — one 1-mark objective, one 2-mark short answer (often on g vs G or Archimedes' principle), and one 3-mark numerical or conceptual question on free fall or the universal law. The exact split varies by school and paper set.
What is the difference between g and G in CBSE Class 9 Gravitation? +
G is the universal gravitational constant (G = 6.674 × 10⁻¹¹ N m² kg⁻²) — it is the same everywhere in the universe and does not change. g is the acceleration due to gravity at Earth's surface (approximately 9.8 m/s²); it varies with altitude, depth, and latitude. Board questions often ask students to state this distinction or derive g from G using g = GM/R².
What is free fall and why do all objects fall at the same rate in vacuum? +
Free fall is the motion of an object under gravity alone, with no other force (including air resistance) acting on it. Because gravitational acceleration g = GM/R² depends only on the mass and radius of Earth — not on the mass of the falling object — all objects experience the same acceleration in vacuum. This means a feather and a stone fall at the same rate in the absence of air.
What is Archimedes' principle and how is it tested in Class 9 boards? +
Archimedes' principle states that when a body is partially or wholly immersed in a fluid, it experiences an upward buoyant force equal to the weight of the fluid displaced. In Class 9 board exams it typically appears as a 2-mark question asking students to state the principle, explain why a ship floats, or calculate the buoyant force given density and volume of displaced water.
How do I generate a custom question paper for Gravitation using MarksZen? +
Sign up for a free MarksZen account, choose CBSE Class 9 Science, select Chapter 10 (Gravitation), set your preferred question-type mix (MCQ, short answer, numerical) and total marks — the AI generates a complete board-aligned paper with answer key in under 2 minutes, ready for PDF export.