Kepler's 3 Planetary Laws
1. Elliptical orbits with Sun at focus. 2. Equal areas in equal time (areal velocity dA/dt = L/2m = constant). 3. T² ∝ a³.
Grade 11th · Physics · Gravitation
Gravitation, Kepler's Laws & Escape Velocity (Advanced Competitive & Board Prep): Formula Cheat Sheet & Solved Numericals
Complete formula reference, variable dimensions, numerical step-by-step problem-solving templates, and sample calculations. covering Gravitation, Kepler's Laws & Escape Velocity (Advanced Competitive & Board Prep) for Class 11th Physics.
Science StreamAdvanced Level
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Essential Formulas & Mathematical Definitions
F = G m1 m2 / r²
gh = g(1 - 2h/R)
gd = g(1 - d/R)
ve = √(2gR) ≈ 11.2 km/s
vo = √(gR) ≈ 7.9 km/s
Escape & Orbital Velocity
Escape velocity ve = √(2GM/R) is minimum launch speed to break free from gravitational field without further propulsion.
Gravitation — Formula Cheat Sheet & Solved Numericals
Detailed educational reference for Gravitation, Kepler's Laws & Escape Velocity (Advanced Competitive & Board Prep). Designed for Class 11th students preparing for board exams and competitive entrance tests.
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Exam Day Revision & Problem Solving Checklist
- ✓Acceleration due to gravity g is zero at Earth center (d = R)
- ✓Escape velocity is independent of projectile mass and angle of projection
- ✓Review Formula Cheat Sheet & Solved Numericals before tackling multi-step practice questions
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High-Yield Exam Strategy & Scoring Tips
Step-by-Step Mark Allocation
Always state the governing principle or formula first, write given values with standard SI units, substitute clearly, and highlight the final numerical answer with units in a box for full step marking.
Common Calculation Traps
Watch for unit prefixes (cm to m, minutes to seconds, g to kg, degrees to radians). In coordinate and ray optics problems, double-check Cartesian sign conventions before computing.
Recommended Practice & Calculation Tools
Test your understanding and perform instant calculations with these free online utilities.
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Frequently Asked Exam Questions & Concept Clarifications
What are parameters of a geostationary satellite?
Orbital period T = 24 hours, parked at ~35,786 km above equator, orbiting West to East.