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 objects of masses 80kg and 50kg are separated by a distance of 0.2m. If the gravitational constant is 6.6 × 10<sup>-11</sup>Nm<sup>2</sup>kg, calculate the gravitational attraction between them.
  3. The magnitude of gravitational attraction between the earth and a particle of 40N. If the mass of the particle is 4kg, calculate the magnitude of the gravitational field intensity of the earth on the particle.
  4. 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)
  5. 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.
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