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A spacecraft goes directly from the earth to the Sun. How far from the center of the earth the
gravitational force exerted on it by the earth and the sun would be the same? The distance
between the earth and the sun is 1.49x108 km, masses ofthe earth and the sun are 2x1030 kg
and 6x1024 kg respectively.
The distance of an object of mass 1 kg lying on the surface of the earth, froni the center of the
moon is 0.3 8xl 09 m. The mass of the moon is 7 .36x1 022 kg. Estimate the gravitational force
exerted on the object by the moon. Use known value of G.
If both, the mass and the radius of the earth decrease by 1%, what will be the% change in the
gravitational acceleration ?
If the radius of the earth suddenly decreases to 60% of the present value, the mass of the earth
. remaining same, what will be the change in the magnitude of gravitational acceleration on the
surface of earth ?
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?
A body weighs 63N on the surface of earth. What is the gravitational force due to earth
at a height equal to half the radius of earth?
Calculate the height above the surface of earth at which the value of acceleration due to
gravity reduces to half of its value on the surface of earth. Assume the earth to be a sphere
of radius 6400 Km.
The Mount Everest is 8848m above the sea level. Estimate the acceleration due to gravity at
thisheight. Given: 'g' on the surface of earth is 9.8 rn/s2 and radius of earth is 6.37 x 106m.
If the radius of earth were increased by a factor of 3, by what factor would its density have to
be changed to keep 'g' same?