Kit Library / Science / Physics

⚡ Topic Learning Kit

Gravitation: Universal Law, Free Fall & Orbits

English 18 leveled MCQs 20 flashcards 9 games Free

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💡 Key Idea

Every Mass Pulls on Every Other Mass

You attract the Earth — and it attracts you.

Gravitation is a universal attractive force between any two objects with mass. It is always attractive, never repulsive, and acts along the line joining their centres.

↳ Gravity is universal: every pair of masses in the universe attracts each other with this same law.

📖 Definition

The Universal Gravitational Constant G

One tiny number rules all of gravity.

↳ G is fixed everywhere; its tiny value is why gravity feels weak between everyday objects.

⚖️ Comparison

Mass vs Weight: Not the Same Thing

Your mass is constant; your weight is not.

↳ Mass is intrinsic; weight is the force gravity exerts on that mass at a given place.

➗ Formula

Weight: The Force of Gravity on a Body

Weight is just mass times g.

↳ Weight = mass × local g; change location, and weight changes while mass does not.

⚙️ Process

Free Fall: Gravity's Solo Act

Drop it — gravity does the rest.

Free fall is motion under gravity alone, with no air resistance or other forces. All objects in free fall accelerate at the same rate g, regardless of mass.

↳ In free fall, mass drops out — a feather and a hammer fall together in vacuum.

⚠️ Common Mistake

Heavier Objects Do NOT Fall Faster

Bigger isn't faster in free fall.

↳ Mass does not affect free-fall acceleration; air resistance is the real culprit for everyday differences.

✏️ Example

Feather vs Hammer on the Moon

No air, no excuses — they land together.

↳ Remove air resistance, and free fall becomes truly mass-independent.

➗ Formula

Acceleration Due to Gravity (g)

g is gravity's fingerprint on motion.

↳ g is a property of the planet, not the falling object.

🌍 Real World

Why Satellites Don't Fall Down

They're falling — just missing Earth.

A satellite is in continuous free fall toward Earth, but its high horizontal speed makes it curve around Earth instead of hitting it. This balance of gravity and tangential velocity produces an orbit.

↳ Orbiting is free fall with enough sideways speed to keep missing the ground.

➗ Formula

Orbital Velocity: Speed to Stay in Orbit

The speed that keeps you circling.

↳ Orbital speed depends only on the central body's mass and the orbital radius.

➗ Formula

Escape Velocity: Breaking Free

The speed to leave the planet for good.

↳ Escape velocity is the minimum speed to leave a planet's gravity permanently.

🧠 Memory Trick

Inverse-Square: Double Distance, Quarter Force

Twice as far, one-fourth the pull.

Remember the inverse-square law: if distance doubles, gravitational force becomes 1/4; if distance triples, it becomes 1/9. Force ∝ 1/r².

↳ Distance squared in the denominator — double r, quarter F.

🎯 Exam Tip

Exam Tip: Watch the Distance Definition

r is centre-to-centre, not surface-to-surface.

↳ r is always centre-to-centre; add the planet's radius when given height.

❓ Did You Know

Gravity Is the Weakest Fundamental Force

Weakest force, biggest cosmic job.

Gravity is by far the weakest of the four fundamental forces, yet it dominates on cosmic scales because it is always attractive and has infinite range — it never cancels out.

↳ Weak locally, dominant cosmically — gravity's always-attractive nature wins at scale.

🛠️ Application

Real Applications of Gravitation

From tides to GPS — gravity at work.

↳ Gravitation underpins tides, satellite tech, space travel, and everyday weighing.

Smart notes

What you'll study, topic by topic

1

Gravitation: Universal Law, Free Fall & Orbits

18 min

Gravitation is the universal attractive force between any two masses, governed by Newton's inverse-square law. It explains why objects fall, why planets orbit, and how weight differs from mass. This kit covers the core l…

  • Every mass attracts every other mass — this is universal gravitation.
  • Newton's law: $F = G m_1 m_2 / r^2$, always attractive, along the line joining centres.
  • The force is inversely proportional to the square of the distance between centres.

Full explanation, worked examples & memory tricks in the app

Leveled MCQ practice

Try the smart MCQs from this kit

All 18 questions, laddered from warm-up to topper-level, each with its answer and the reasoning behind it.

Warm-up · 8 questions

Q1. Which statement best describes the nature of the gravitational force between two masses?

Beginner
A It is always repulsive.
B It acts only when the masses touch.
C It can be attractive or repulsive.
D It is always attractive.

Answers and explanations are in the Veda app.

Q2. The gravitational force between two objects is $F$. If the distance between them is doubled, the new force is:

Beginner
A $F/2$
B $4F$
C $F/4$
D $2F$

Answers and explanations are in the Veda app.

Q3. The SI unit of the universal gravitational constant $G$ is:

Beginner
A $\text{m/s}^2$
B $\text{N m}^2/\text{kg}^2$
C $\text{N kg}^2/\text{m}^2$
D $\text{N/kg}$

Answers and explanations are in the Veda app.

Q4. An astronaut in orbit feels weightless because:

Beginner
A The spacecraft is beyond Earth's gravity.
B Gravity is zero in space.
C The astronaut has no mass in orbit.
D The astronaut and spacecraft are in free fall together.

Answers and explanations are in the Veda app.

Q5. A body has mass 10 kg on Earth. What is its mass on the Moon?

Beginner
A About 1.6 kg
B 10 kg
C About 98 kg
D Zero

Answers and explanations are in the Veda app.

Q6. Which quantity is a force?

Beginner
A Gravitational constant $G$
B Weight
C Acceleration due to gravity $g$
D Mass

Answers and explanations are in the Veda app.

Q7. The value of $g$ at Earth's surface is approximately:

Beginner
A $6.67 \times 10^{-11}\ \text{m/s}^2$
B $7.9\ \text{m/s}^2$
C $9.8\ \text{m/s}^2$
D $11.2\ \text{m/s}^2$

Answers and explanations are in the Veda app.

Q8. Newton's law of universal gravitation states $F = G m_1 m_2 / r^2$, with $G = 6.67 \times 10^{-11}\ \text{N m}^2/\text{kg}^2$.

Beginner
A True
B False

Answers and explanations are in the Veda app.

Building up · 5 questions

Q9. A satellite is in a low circular orbit around Earth. Its orbital speed is about:

Intermediate
A $9.8\ \text{km/s}$
B $11.2\ \text{km/s}$
C $7.9\ \text{km/s}$
D $3.0 \times 10^8\ \text{km/s}$

Answers and explanations are in the Veda app.

Q10. The gravitational force between two masses is $F$. If both masses are doubled and the distance is halved, the new force is:

Intermediate
A $8F$
B $2F$
C $4F$
D $16F$

Answers and explanations are in the Veda app.

Q11. Why does the Moon not crash into Earth?

Intermediate
A Earth's gravity does not reach the Moon.
B The Moon is repelled by Earth.
C The Moon has enough tangential speed to keep missing Earth as it falls.
D The Moon is outside the solar system's gravity.

Answers and explanations are in the Veda app.

Q12. A 1 kg book rests on a table. The gravitational force between Earth and the book is approximately:

Intermediate
A $98\ \text{N}$
B $6.67 \times 10^{-11}\ \text{N}$
C $1\ \text{N}$
D $9.8\ \text{N}$

Answers and explanations are in the Veda app.

Q13. A feather and a hammer are dropped on the Moon. What happens?

Intermediate
A The feather lands first because it is lighter.
B The hammer lands first because it is heavier.
C They land at the same time because there is no air resistance.
D Neither falls because the Moon has no gravity.

Answers and explanations are in the Veda app.

Topper level · 5 questions

Q14. The gravitational force between two everyday objects is negligible mainly because:

Advanced
A The objects have no mass.
B $G$ is extremely small.
C The distance between them is zero.
D Gravity is repulsive for small masses.

Answers and explanations are in the Veda app.

Q15. A satellite is moved from Earth's surface to an altitude equal to Earth's radius. By what factor does the gravitational force on it change?

Advanced
A It becomes one-quarter of the surface value.
B It remains the same.
C It becomes double the surface value.
D It becomes one-half of the surface value.

Answers and explanations are in the Veda app.

Q16. Which observation most directly supports the inverse-square law of gravitation?

Advanced
A Objects fall to the ground when released.
B The weight of an object is proportional to its mass.
C The gravitational force is always attractive.
D The Moon's orbital period and its distance from Earth satisfy $T^2 \propto r^3$.

Answers and explanations are in the Veda app.

Q17. A satellite is in a low circular orbit around Earth at an altitude of 400 km. Calculate the gravitational force acting on a 1000 kg satellite. Use the formula $$F = G \frac{m_1 m_2}{r^2}$$ where $m_1 = 6 \times 10^{24}\ \text{kg}$ (mass of Earth), $m_2 = 1000\ \text{kg}$ (mass of the satellite), and $r = R + h$ with $R = 6.4 \times 10^6\ \text{m}$ (radius of Earth) and $h = 400 \times 10^3\ \text{m}$ (altitude).

Advanced
A 49 N
B 9.8 N
C 98 N
D 24.5 N

Answers and explanations are in the Veda app.

Q18. Using Kepler's third law, if a planet orbits a star at a distance of 2 AU (astronomical units), what is the ratio of its orbital period squared to the cube of its semi-major axis? Assume the star's mass is similar to that of the Sun. Express your answer in terms of the formula $$T^2 \propto a^3$$.

Advanced
A 9
B 4
C 1
D 8

Answers and explanations are in the Veda app.

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