Class XI

Derive an expression for the work required to move an Earth satellite of mass m from a circular orbit of radius 2 REREto one of radius 3 RERE.
  1. Gm/24RE
  2. GME/12RE
  3. GMEm/12RE
  4. GMEm/24RE
A uniform, solid, 1000.0-kg sphere has a radius of 5.00 m. Find the gravitational force this sphere exerts on a 2.00-kg point mass placed at a distance of 2.50 m from the center of the sphere
  1. 2.47 ×× 10−910−9 N
  2. 2.27 ×× 10−910−9 N
  3. 2.67 ×× 10−910−9 N
  4. 2.07 ×× 10−910−9 N
A body weighs 63 N on the surface of the earth. What is the gravitational force on it due to the earth at a height equal to half the radius of the earth?
  1. 28 N
  2. 128 N
  3. 180 N
  4. 18 N
Weight of an object on the surface of the moon is
  1. 1/5 th that on the surface of the earth
  2. 1/3 that on the surface of the earth
  3. ½ that on the surface of the earth
  4. 1/6 that on the surface of the earth
A typical adult human has a mass of about 70 kg. (a) What force does a full moon exert on such a human when it is directly overhead with its centre 378,000 km away?
  1. 2.4 ×× 10−310−3 N
  2. 3.1 ×× 10−610−6 N
  3. 1.4 ×× 10−610−6 N
  4. 2.0 ×× 10−610−6 N
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