Physics - Weight on Earth's Surface
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Questions and Answers

What is the condition for an object to move in a circular orbit?

  • The centrifugal force on the object is equal to its weight.
  • The weight of the object is the only force acting on it.
  • The centripetal force on the object is equal to its weight. (correct)
  • There are no forces on the object.
  • What is the direction of the centripetal force acting on an object moving in a circular orbit?

  • Perpendicular to the direction of motion.
  • Away from the center of the circle.
  • Parallel to the direction of motion.
  • Towards the center of the circle. (correct)
  • A satellite is moving in a circular orbit just above the surface of the moon. What is the direction of the gravitational force acting on the satellite?

  • Away from the center of the moon.
  • Perpendicular to the direction of motion.
  • Towards the center of the moon. (correct)
  • Parallel to the direction of motion.
  • A particle is placed between two massive objects. What is the condition for the resultant force on the particle to be zero?

    <p>The particle must be at a certain distance from the more massive object.</p> Signup and view all the answers

    What is the acceleration due to gravity on a planet with twice the mass and twice the radius of the Earth?

    <p>4.905 m/s^2</p> Signup and view all the answers

    What is the neutral point in the gravitational field between the Sun, the Earth, and the Moon?

    <p>The point where the resultant gravitational force due to the three bodies is zero.</p> Signup and view all the answers

    A satellite is moving in a circular orbit just above the surface of the moon. What is the direction of its velocity?

    <p>Tangential to the circular orbit.</p> Signup and view all the answers

    What is the orbital period of a satellite moving in a circular orbit just above the surface of the moon?

    <p>Dependent on the radius of the moon.</p> Signup and view all the answers

    What is the acceleration due to gravity on a planet with half the radius and twice the density of the Earth?

    <p>29.43 m/s^2</p> Signup and view all the answers

    What is the ratio of the acceleration of free fall on the surface of the Earth to that on the surface of the Moon?

    <p>6:1</p> Signup and view all the answers

    Study Notes

    Rotational Motion and Gravity

    • The weight of a body measured on a weighing scale at the Equator compared with its weight measured on the same weighing scale at a pole would be smaller, because the gravitational attraction of the Earth must provide both the weight and the centripetal force due to the circular motion of the body.

    Gravitational Force and Orbits

    • The moon remains in its orbit around the Earth because the gravitational force exerted by the Earth on the moon provides a net force that provides the Moon's centripetal acceleration.
    • A geostationary satellite can remain vertically above any chosen fixed point on the Earth, has the same angular velocity as the Earth's rotation on its axis, and its linear speed is equal to the speed of a point on the Earth's equator.

    Forces in Orbit

    • An object in a space capsule orbiting the Earth seems to be floating because the centripetal force on the object is equal and opposite to its weight.

    Binary Stars

    • The centripetal forces acting on the two stars in a binary system are equal in magnitude because the centre of their orbits is at a fixed point.
    • The mass of each star in a binary system can be determined by using the period of their orbits and the separation of their centres.

    Orbital Motion and Gravity

    • The speed of a satellite moving in a circular orbit just above the surface of the moon can be calculated using the moon's mass and radius.
    • The orbital period of a satellite can be calculated using the moon's mass and radius.

    Gravitational Fields

    • The neutral point in the gravitational field between two masses is the point at which the resultant gravitational field due to the two masses is zero.
    • The acceleration due to gravity on a planet is affected by the planet's mass and radius.
    • The mean density of a planet affects the acceleration due to gravity on its surface.

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    Description

    Compare the weight of a body on a weighing scale at the Equator and at a pole, considering Earth's rotation and gravity.

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