A satellite revolves round the earth at a height equal to radius of the earth. Calculate its (i)
orbital speed and (ii) period. Take G = 6.67 x 10-11 N-m2/kg2
• The radius ofthe earth= 6400
km and the mass of the earth = 6 x 1024 kg.
The radius of the circular orbit of the earth, revolving round the sun, is 1.5 x 108 km. The
orbital speed of the earth is 30 krnls. Calculate the mass of the sun from these data. G =
6.67 X 10-11 N-m2/kg2
•
If the earth were made completely of gold, what would have been the magnitude of
gravitational acceleration on its surface ? The radius of the earth is 6400km, density of gold is
19.3 X 103 kg/m3 and G = 6.67 X 10-11 N-m2/kg2
•
An earth's satellite has a time period of90 min. Assuming the orbit to be circular, calculate its
height. Given : G = 6.67 x 10-11 N-m2/kg2
, M = 6.02 x 1024kg and radius of the earth is
6400km.
Assuming the earth to be a sphere of uniform density, how much would a body weigh
half way down the center of earth if it weighs 250N on the surface of earth?
Calculate the force of attraction between two bodies each of mass lOOKg and 1m apart on the
surface of earth. Will the force of attraction be different if the same bodies are taken on the
moon, their separation remaining constant? Given: G = 6.67 x 10-11 N-m2/kg2
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