Gravitational Field Test

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  1. Calculate the escape velocity of a satellite launched from the Earth’s surface (Take g as 10ms<sup>-2</sup> and the radius of the earth as 6.4 × 10<sup>6</sup>m)
  2. The acceleration due to gravity may be defined as the force
  3. 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)
  4. 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.
  5. 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)
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