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chapt 9

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  • Newtonian Synthesis

    Newtonian synthesis is the idea that the same set of laws apply to both celestial and terrestrial objects, unifying earthly and heavenly laws.

  • Universal Law of Gravity

    Every body attracts every other body with a force directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

  • Universal Gravitational Constant (G)

    G is the constant that links gravitational force with mass and distance, with value approximately \(6.67 \times 10^{-11}\) Nm²/kg².

  • Inverse-Square Law for Gravity

    The gravitational force magnitude varies inversely with the square of the distance between two masses, meaning force decreases rapidly as distance increases.

  • Effect of Doubling Both Masses on Gravity

    If both masses are doubled, the gravitational force between them quadruples.

  • Effect of Doubling One Mass on Gravity

    If one mass is doubled while the other remains constant, the gravitational force between them doubles.

  • Weight vs Apparent Weight in an Elevator Accelerating Upward

    When accelerating upward, your apparent weight is greater than your rest weight due to increased support force.

  • Weight vs Apparent Weight in an Elevator Accelerating Downward

    When accelerating downward, your apparent weight is less than your rest weight due to reduced support force.

  • Weight Reading in Free Fall Elevator

    In free fall (cable breaks), your apparent weight is zero because there is no support force.

  • When Does a Scale Show Greatest Weight in an Elevator?

    The scale shows the greatest weight when the elevator accelerates upward.

  • Cause of Ocean Tides

    Ocean tides are caused by the gravitational attraction of the Moon and the Sun, creating unequal tugs that stretch Earth's oceans.

  • Spring Tides

    Spring tides occur during new or full Moon when the gravitational effects of the Moon and Sun add up, causing more pronounced tides.

  • Neap Tides

    Neap tides occur when the Moon is halfway between new and full, causing the Sun and Moon's gravitational effects to partly cancel, resulting in less pronounced tides.

  • Gravitational Field

    A gravitational field is an alteration of space around a mass, representing the force that mass exerts on other masses without contact.

  • Gravitational Field Lines

    Field lines radiate inward toward Earth, indicating the force is always attractive and stronger closer to Earth where lines crowd.

  • Gravitational Field Inside a Planet

    Inside a planet, gravitational field decreases to zero at the center because pulls from mass above and below partially cancel.

  • Falling Through a Hole in Earth

    Acceleration toward Earth's center decreases with depth, reaching zero at the center, then reverses direction as you pass through.

  • Einstein's Theory of Gravitation

    Gravity is a warping of space-time by mass, analogous to a dent on a waterbed affecting the motion of other objects.

  • Black Hole Formation

    A black hole forms when a collapsing star's mass is concentrated in a small radius, creating a gravitational field so strong that nothing can escape.

  • Effect on Earth if Sun Became a Black Hole

    If the Sun became a black hole without changing mass or distance, Earth's orbit would remain unchanged because gravitational force depends on mass and distance.

  • Wormhole Concept

    A wormhole is a theoretical distortion of space-time that connects different parts of the universe or different universes, but none have been discovered.