Gravitation

  1. An artificial satellite is a man-made object placed into orbit around a celestial body, primarily Earth.
  2. Artificial satellites are launched using rockets or space vehicles.
  3. They remain in orbit due to the balance between the gravitational pull of the Earth and their centripetal force.
  4. Satellites follow the laws of orbital motion as described by Kepler and Newton.
  5. The orbital velocity of a satellite depends on its altitude and the mass of the central body.
  6. Low Ear
  1. Gravitational Potential Energy (U) is the energy possessed by an object due to its position in a gravitational field.
  2. The formula for gravitational potential energy is U = -G(m₁m₂ / r), where G is the gravitational constant, m₁ and m₂ are the masses, and r is the distance between their centers.
  3. The negative sign in U indicates that gravitational force is attractive, and energy must be supplied to separate the masses.
  4. The gravitational potential at a point is defined as the potential energy per u
  1. The acceleration due to gravity (g) is the acceleration experienced by an object due to the gravitational pull of the Earth.
  2. The standard value of g at the Earth's surface is approximately 9.8 m/s².
  3. g is calculated using the formula g = GM/R², where G is the gravitational constant, M is the Earth's mass, and R is its radius.
  4. The value of g is maximum at the Earth’s surface and decreases with altitude, depth, and latitude.
  5. At higher altitudes, g decreases because the dist
  1. Newton’s Law of Gravitation states that every particle in the universe attracts every other particle with a force directly proportional to the product of their masses and inversely proportional to the square of the distance between them.
  2. The mathematical expression for gravitational force is F = G (m₁m₂ / r²), where G is the gravitational constant, m₁ and m₂ are the masses, and r is the distance between the centers of the masses.
  3. The gravitational constant (G) has a value of approximately 6.674 × 10⁻¹¹ N·m²/kg² in SI un