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Ch 08: Centripetal Forces & GravitationWorksheetSee all chapters
All Chapters
Ch 01: Intro to Physics; Units
Ch 02: 1D Motion / Kinematics
Ch 02: Describing Motion: Kinematics in One Dimension
Ch 03: Vectors
Ch 04: 2D Kinematics
Ch 05: Projectile Motion
Ch 06: Intro to Forces (Dynamics)
Ch 07: Friction, Inclines, Systems
Ch 08: Centripetal Forces & Gravitation
Ch 09: Work & Energy
Ch 10: Conservation of Energy
Ch 11: Momentum & Impulse
Ch 12: Rotational Kinematics
Ch 13: Rotational Inertia & Energy
Ch 14: Torque & Rotational Dynamics
Ch 15: Rotational Equilibrium
Ch 16: Angular Momentum
Ch 17: Periodic Motion
Ch 19: Waves & Sound
Ch 20: Fluid Mechanics
Ch 21: Heat and Temperature
Ch 22: Kinetic Theory of Ideal Gases
Ch 23: The First Law of Thermodynamics
Ch 24: The Second Law of Thermodynamics
Ch 25: Electric Force & Field; Gauss' Law
Ch 26: Electric Potential
Ch 27: Capacitors & Dielectrics
Ch 28: Resistors & DC Circuits
Ch 29: Magnetic Fields and Forces
Ch 30: Sources of Magnetic Field
Ch 31: Induction and Inductance
Ch 32: Alternating Current
Ch 33: Electromagnetic Waves
Ch 34: Geometric Optics
Ch 35: Wave Optics
Ch 37: Special Relativity
Ch 38: Particle-Wave Duality
Ch 39: Atomic Structure
Ch 40: Nuclear Physics
Ch 41: Quantum Mechanics
Sections
Uniform Circular Motion
Period and Frequency in Uniform Circular Motion
Centripetal Forces
Vertical Centripetal Forces
Flat Curves
Banked Curves
Newton's Law of Gravity
Gravitational Forces in 2D
Acceleration Due to Gravity
Satellite Motion: Intro
Satellite Motion: Speed & Period
Geosynchronous Orbits
Overview of Kepler's Laws
Kepler's First Law
Kepler's Third Law

Concept #1: Satellite Speed

Practice: Suppose that you used some geometry and kinematics to estimate that the Earth goes around the Sun with an orbital speed of approximately 30,000 m/s (60,000 mph), and that the Sun is approximately 150 million kilometers away from the Earth. Use this information to estimate the mass of the Sun.

Example #1: Find speed of second satellite, given speed of first

Practice: You throw a baseball horizontally while on the surface of a small, spherical asteroid of mass 7×1016 kg and diameter of 22km. What is the minimum speed so that it just barely goes around the asteroid without hitting anything?

Concept #2: Satellite Period

Practice: A satellite orbits at an orbital period of 2 hours around the Moon. What is the satellite’s orbital altitude?

Example #2: Find mass of planet, given moon speed and period

Practice: A distant planet orbits a star 3 times the mass of our Sun. This planet of mass 8×1026 kg feels a gravitational force of 2×1026 N. What is this planet’s orbital speed and how long does it take to orbit once?