Consider two solid uniform spherical objects of the same density ρ. One has radius R and the other has radius 2R. They are in outer space where the gravitational fields from other objects are negligible. If they are arranged with their surface touching, what is the contact force between the objects due to their gravitational attraction?
see full answer
Your Exam Success, Personally Taken Care Of
1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.
An Intiative by Sri Chaitanya
a
Gπ2R4
b
12881Gπ2R4ρ2
c
12881Gπ2
d
12887π2R2G
answer is B.
(Unlock A.I Detailed Solution for FREE)
Best Courses for You
JEE
NEET
Foundation JEE
Foundation NEET
CBSE
Detailed Solution
m1=43πR3ρ,m2=43π(2R)3ρ=8×43π(R)3ρ, distance between the centres of the spherical objects, r = 3R.F=GM1m2r2=G43πR3ρ8×43πR3ρ×1(3R)2=12881Gπ2R4ρ2