Gravitational Field Test

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  1. 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.
  2. 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)
  3. 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
  4. 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)
  5. A man and his friend have masses 70kg and 60kg respectively. If they are seated 1.0m apart, calculate the gravitational force of attraction between them. (G = 6.70 × 10<sup>-11</sup>Nm<sup>2</sup>kg)
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