Physics Chapter: Gravitation and Motion
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Questions and Answers

What is the term for the force that keeps everything in its place, preventing objects from floating in the air?

Gravitation

Which of the following is NOT a conserved quantity mentioned in the document?

  • Momentum
  • Mass
  • Time (correct)
  • Charge
  • What English scientist credited with discovering the law of universal gravitation?

    Isaac Newton

    What is the name of the device used by Henry Cavendish in his experiment to determine the gravitational constant G?

    <p>Torsion balance</p> Signup and view all the answers

    What is the mathematical formula for calculating the force of gravitation between any two objects?

    <p>$F = G(m_1m_2)/R^2$</p> Signup and view all the answers

    Which of the following is a true statement about the gravitational constant G?

    <p>G has the same value for any two objects anywhere in the universe. (D)</p> Signup and view all the answers

    Who conducted the first accurate measurements of planetary positions, providing data that proved crucial for Kepler's investigations?

    <p>Tycho Brahe</p> Signup and view all the answers

    Kepler's first law states that planets move around the sun in a circular path.

    <p>False (B)</p> Signup and view all the answers

    What is the name of the point where a planet is closest to the sun in its elliptical orbit?

    <p>Perihelion</p> Signup and view all the answers

    According to Kepler's third law, what is the relationship between the period of a planet's orbit (T) and its average distance from the sun (R)?

    <p>The square of the orbital period is directly proportional to the cube of the average distance.</p> Signup and view all the answers

    What is the name of the force that acts towards the center of a circle when an object moves in a circular path?

    <p>Centripetal force</p> Signup and view all the answers

    Which of the following factors DOES NOT affect the centripetal acceleration of an object moving in a circle?

    <p>The object's mass (C)</p> Signup and view all the answers

    What is the formula for calculating the centripetal acceleration of an object moving in a circle?

    <p>$a = (v^2)/r$</p> Signup and view all the answers

    What is the name of the fictitious force that is often mistakenly attributed to an object's inertia when it moves in a circle?

    <p>Centrifugal force</p> Signup and view all the answers

    What is the term for a curve that is designed to reduce dependence on friction to keep an object in its intended path?

    <p>Banked curve</p> Signup and view all the answers

    What physical quantity is defined as the rate at which work is done?

    <p>Power</p> Signup and view all the answers

    Flashcards

    Newton's Law of Universal Gravitation

    Every object in the universe attracts every other object towards itself with a force called gravitational force. This force is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

    Gravitational Constant (G)

    A fundamental constant that determines the strength of the gravitational force between any two objects. It's a universal constant and has the value 6.67 x 10^-11 Nm²/kg².

    What keeps us on Earth?

    The force of gravity between the Earth and our bodies pulls us towards the Earth's center, preventing us from floating away.

    Newton's Apple

    A popular anecdote describing how Newton observed an apple falling from a tree and formulated the Universal Law of Gravitation, realizing every object attracts every other object.

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    Uses of Gravity

    Gravity plays a crucial role in keeping celestial bodies in their orbits, causing tides on Earth and influencing various natural phenomena.

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    Kepler's Laws of Planetary Motion

    Three laws describing the motion of planets around the sun. These laws are based on observations made by Tycho Brahe. Kepler used these observations to formulate his laws.

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    Tycho Brahe

    A Danish astronomer famous for his precise astronomical observations of planets, especially Mars, which helped Johannes Kepler later formulate his laws of planetary motion.

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    Johannes Kepler

    An Austrian mathematician who used Tycho Brahe's precise astronomical observations to formulate the three laws of planetary motion.

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    Ellipse

    A geometric shape with two foci, unlike a circle which has one center. Planets orbit the Sun in elliptical paths, with the Sun at one focus.

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    Kepler's First Law

    Planets move in elliptical orbits with the Sun at one focus. The shape of the orbit is not perfectly circular but slightly elliptical. This means the planet's distance from the Sun varies during its orbit.

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    Kepler's Second Law

    A line from the Sun to a planet sweeps out equal areas in equal lengths of time. This means that a planet moves faster when it's closer to the sun and slower when it's farther away.

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    Kepler's Third Law

    The square of the orbital period of a planet is directly proportional to the cube of the average distance of the planet from the sun. This means the farther a planet is from the sun, the longer it takes to complete its orbit.

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    Vertical Circles

    Circular motion where the object's motion is restricted to a vertical plane. Gravity plays a role, affecting the object's speed and direction depending on its position in the circle.

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    Tension in a Vertical Circle

    The force exerted on an object moving in a vertical circle by a string or other constraint. It changes depending on the object's position in the circle and depends on gravity.

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    Critical Velocity

    The minimum velocity an object needs to maintain a circular path in a vertical circle without falling. This velocity depends on the radius of the circle and acceleration due to gravity.

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    Normal Force in a Vertical Circle

    The force exerted by a surface on an object moving in a vertical circle, perpendicular to the surface. It changes depending on the object's position in the circle, affected by gravity and the object's speed.

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    Ferris Wheel

    A vertical circle ride where the normal force acting on passengers varies depending on their location in the circle, being greatest at the bottom and least at the top due to gravity and motion.

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    Conical Pendulum

    A pendulum that swings in a circle, forming a cone. The angle of the swing, the speed of the pendulum, and the radius of the circle are related by a specific formula.

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    Uniform Circular Motion

    Motion of an object moving in a circle at a constant speed. Even though the speed is constant, the direction is constantly changing, resulting in acceleration.

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    Linear/Tangential Velocity

    The velocity of an object moving in a circle, tangent to the circle at any given point. The direction of the velocity is constantly changing, even if the speed is constant.

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    Rotational/Angular Velocity

    The rate at which an object rotates or revolves around a fixed axis. It's measured in degrees per second, rotations per minute (rpm), etc. It's denoted by the Greek letter omega (ω).

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    Centripetal Acceleration

    The acceleration of an object moving in a circle, directed towards the center of the circle. It's responsible for changing the object's direction of motion, even if its speed is constant.

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    Centripetal Force

    The force required to keep an object moving in a circular path. It's always directed towards the center of the circle and is responsible for changing the object's direction of motion.

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    Conservative Forces

    Forces where the work done on an object moving between two points is independent of the path taken. The work depends only on the starting and ending positions.

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    Non-conservative Forces

    Forces where the work done on an object depends on the path taken between two points. This type of force often dissipates energy into other forms like heat or sound.

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    Work-Energy Theorem

    This theorem states that the net work done by all the forces acting on an object equals the change in the object's kinetic energy. It relates work, energy, and motion.

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    Power

    The rate at which work is done or energy is transferred. It's measured in watts (W).

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    Kinetic Energy

    The energy an object possesses due to its motion. It depends on the object's mass and velocity. The faster the object moves and the more massive it is, the greater its kinetic energy.

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    Potential Energy

    Stored energy an object has due to its position or state. It's the energy of position. Two common types are gravitational potential energy and elastic potential energy.

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    Mechanical Energy

    The sum of an object's kinetic and potential energy. It's conserved in the absence of non-conservative forces like friction.

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    Conservation of Energy

    One of the fundamental laws of physics. It states that energy cannot be created or destroyed, only transformed from one form to another.

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    Study Notes

    Newton's Law of Universal Gravitation

    • Every object in the universe attracts every other object.
    • This force of gravitation acts between any two objects, even if they are not connected.
    • The force is directly proportional to the product of the masses of the two objects (m1m2).
    • The force is inversely proportional to the square of the distance between the objects (1/R^2).

    Torsion Balance Experiment

    • Henry Cavendish's experiment determined the gravitational constant (G).
    • G = 6.67 x 10^-11 Nm^2/kg^2

    Kepler's Laws of Planetary Motion

    • First Law: Planets move in elliptical orbits with the sun at one focus.
    • Second Law: A line joining a planet and the sun sweeps out equal areas during equal intervals of time.
    • Third Law: The square of the orbital period of a planet is directly proportional to the cube of the semimajor axis of its orbit.

    What is an Ellipse?

    • An ellipse is a geometric shape with two foci instead of one central focus, as in a circle.
    • The sun is at one focus of the ellipse.

    Third Law

    • The square of the orbital period of a planet is directly proportional to the cube of the average distance of the planet from the sun.
    • The constant of proportionality is K = 2.97 x 10-19 s2/m3.

    Vertical Circles

    • Gravity either speeds up or slows down objects.
    • Constant speed and direction of an object in vertical circles.
    • Formula for calculating the tension in the string at the top of the vertical circle T = m(v²/r) - mg
    • Formula for calculating the tension in the string at the bottom of the vertical circle T = m(v²/r) + mg

    Uniform Circular Motion

    • The point or line at the center of the circle is the axis of rotation.
    • If the axis of rotation is inside the object, the object is rotating.
    • If the axis of rotation is outside the object, the object is revolving.
    • Linear velocity (tangential velocity) of an object in circular motion is v = ro.

    Acceleration

    • An object moving in a circle is constantly accelerating.
    • The acceleration of the object points toward the center of the circle (centripetal acceleration).
    • Centripetal acceleration is calculated using the formula v^2/r where v is the velocity and r is the radius.

    Centripetal Force

    • Newton's Second Law applies to objects in circular motion—a net force is required for circular motion.
    • The net force is called the centripetal force and points toward the center.

    Conservative vs Nonconservative Forces

    • Conservative Forces: The work done by a conservative force on an object moving between two points is independent of the path taken. Examples: gravity, spring force.
    • Nonconservative Forces: The work done by a nonconservative force on an object—e.g., friction, air resistance—depends on the path taken.

    Work and Energy

    • Work: The product of force and displacement in the direction of the force (W = Fd cos θ).
    • Energy: The ability to do work.
    • Types of Energy: kinetic, potential, gravitational potential, elastic potential, etc.
    • Conservation of Energy: Energy can change form, but it cannot be created or destroyed.
    • Work-Energy Theorem: The net work done on an object equals the change in its kinetic energy.
    • Power is the rate at which work is done.

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    Description

    Explore the fundamental concepts of Newton's Law of Universal Gravitation, Kepler's Laws of Planetary Motion, and the Torsion Balance Experiment. This quiz covers how gravitational forces operate between objects and the elliptical nature of planetary orbits. Test your knowledge on these essential physics principles!

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