Questions
A small body of superdense material, whose mass is twice the mass of the earth but whose size is very small compared to the size of the earth, starts from rest at a height H <<R above the earth's surface, and reaches the earth's surface in time t. Then t is equal to
detailed solution
Correct option is C
As the masses of the body and the earth are comparable, they will move towards their centre of mass, which remains stationery .Hence the body of mass 2m move through distance H/3.As per the relationm1r1=m2r2 and time to reach the earth surface=2hg=2H/3g=2H3gTalk to our academic expert!
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A solid sphere of uniform density and radius R applies a gravitational force of attraction equal to F1 on a particle placed at
P, distance 2R from the centre O of the sphere. A spherical cavity of radius R/2 is now made in the sphere as shown in figure. The sphere with cavity now applies an gravitational force F2 on same particle placed at P. The ratio F2/ F1 will be
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