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5: Uniform Circular Motion and Gravitation
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- 5.1: Introduction to UCM and Gravitation
- Uniform circular motion is a motion in a circular path at constant speed.
- 5.2: Non-Uniform Circular Motion
- Non-uniform circular motion denotes a change in the speed of a particle moving along a circular path.
- 5.3: Velocity, Acceleration, and Force
- The rotational angle is a measure of how far an object rotates, and angular velocity measures how fast it rotates.
- 5.4: Types of Forces in Nature
- Tides are the rise and fall of sea levels due to the effects of the gravity exerted by the moon and the sun, and the rotation of the Earth.
- 5.5: Newton’s Law of Universal Gravitation
- Objects with mass feel an attractive force that is proportional to their masses and inversely proportional to the square of the distance.
- 5.6: Kepler’s Laws
- Kepler’s first law is: The orbit of every planet is an ellipse with the Sun at one of the two foci.
- 5.7: Gravitational Potential Energy
- Gravitational energy is the potential energy associated with gravitational force, such as elevating objects against the Earth’s gravity.
- 5.8: Energy Conservation
- An object reaches escape speed when the sum of its kinetic energy and its gravitational potential energy is equal to zero.
- 5.9: Angular vs. Linear Quantities
- The familiar linear vector quantities such as velocity and momentum have analogous angular quantities used to describe circular motion.