Gravitational Field Test

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  1. What is the escape velocity of a body on the surface of the earth of radius R if the gravitational constant is G and the mass of the earth is M? (Neglect energy losses to the surroundings)
  2. Two spheres of masses 100kg and 90kg respectively have their centres separated by a distance of 1.0m. Calculate the magnitude of the force of attraction between them. (G = 6.70 × 10<sup>-11</sup>Nm<sup>2</sup>kg)
  3. The magnitude of a gravitational force between two particles 0.010m apart is 10N. If the distance between them is increased to 0.02m, calculate the magnitude of the force.
  4. A mass of the earth is 6.0 X 10<sup>24</sup>kg and that of the moon is 7.0 X 10<sup>22</sup>kg. If the distance between them is 4.0 X 10<sup>8</sup>m, calculate the force of attraction between them. (G = 6.70 × 10<sup>-11</sup>Nm<sup>2</sup>kg)
  5. A rocket of mass m is fired from the Earth’s surface such that it just escapes from the Earth’s gravitational field. If R is the radius of the Earth and g the acceleration of free fall due to gravity, the escape velocity of the rocket is expressed as
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