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Gravitation - AAI ATC Physics Notes | Ch-2

1. What is Gravitation?

Gravitation is the force of attraction between any two objects in the universe due to their masses. It’s a universal force that acts on all objects.

2. Newton’s Law of Universal Gravitation

The force of attraction between two masses is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.

\( F = G \frac{m_1 m_2}{r^2} \)

Where:

  • F: Gravitational force (N)
  • G: Universal gravitational constant (6.67 × 10⁻¹¹ Nm²/kg²)
  • m₁, m₂: Masses of the objects (kg)
  • r: Distance between centers (m)

3. Acceleration Due to Gravity (g)

The acceleration experienced by an object due to Earth’s gravitational pull.

\( g = \frac{G M}{R^2} \)

Where:

  • M: Mass of Earth
  • R: Radius of Earth

Value on Earth: 9.8 m/s²

Gen Z Examples

🌍 Your phone on the table is attracted by Earth — that’s gravity. Even your fries have weight.

📱 When you drop your phone, it falls at 9.8 m/s² — that’s g pulling it down.

Past Year Questions (PYQs)

2021 Shift MCQ: Unit of G?

Answer: Nm²/kg²

2022 Shift 1: Value of g on Earth’s surface?

Answer: 9.8 m/s²

Gravitation - AAI ATC Physics Notes | Ch-2

4. Relation of g at Height (h)

Gravitational acceleration decreases with altitude.

\( g_h = g \left(1 - \frac{2h}{R}\right) \)

Where h is the height above Earth’s surface.

5. Gravitational Potential Energy

Energy due to the position of an object in a gravitational field.

\( U = -\frac{G m_1 m_2}{r} \)

Negative because the force is attractive.

6. Escape Velocity (vₑ)

The minimum speed needed to escape Earth’s gravitational pull.

\( v_e = \sqrt{\frac{2 G M}{R}} \)

For Earth: vₑ ≈ 11.2 km/s

Gen Z Examples

✈️ Less gravity at airplane altitude than on the ground.

🛌 Earth’s gravity always pulls you back when you try to jump out of bed early morning.

🚀 You need to hit 11.2 km/s to escape Earth’s gravity — like a rocket launch.

Formula Quick Revision Sheet

Formula Meaning
\( F = G \frac{m_1 m_2}{r^2} \) Universal Gravitational Force
\( g = \frac{G M}{R^2} \) Acceleration due to gravity
\( g_h = g \left(1 - \frac{2h}{R}\right) \) g at height
\( U = -\frac{G m_1 m_2}{r} \) Gravitational potential energy
\( v_e = \sqrt{\frac{2 G M}{R}} \) Escape velocity

AAI ATC PYQ Analysis (2021–2023)

2021 Shift 2: Unit of gravitational constant G (theory MCQ)

2022 Shift 1: Value of g at Earth’s surface

2023 Dec: No direct Q — but fair game for theory filler MCQs

Gravitation - AAI ATC Physics Notes | Ch-2

Quick Concept Recap

Concept Gen Z Example
Gravity attracts all masses Earth pulling your sneakers
g value decreases with altitude You weigh a fraction less on an airplane
Escape velocity How fast a rocket must go to ditch gravity
Negative Potential Energy You always get pulled back by gravity

Final AAI ATC Takeaway

Focus Areas: