Gravitational Field Test

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  1. 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)
  2. 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)
  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. The acceleration due to gravity may be defined as the force
  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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