Three uniform spheres each having a mass ‘M’, and radius ‘a’ are kept in such a way that each touches the other two. Find the magnitude of gravitational force on any of spheres due to the other two.
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
2GM4a2
b
2GM2a2
c
2GM3a2
d
3GM4a2
answer is D.
(Unlock A.I Detailed Solution for FREE)
Best Courses for You
JEE
NEET
Foundation JEE
Foundation NEET
CBSE
Detailed Solution
Force of attraction between two masses=GM mr2 Force on any sphere is F=GM24a2;universal gravitation constant=G; mass=m; distance between two centres of spheres=r=2a; The resultant force on any sphere is from parallelogram law of addition of vecotors F1=F12+F22+2F1F2cos600 here F1=F2=F F1=3F F1=3GM4a2=force on each sphere
Three uniform spheres each having a mass ‘M’, and radius ‘a’ are kept in such a way that each touches the other two. Find the magnitude of gravitational force on any of spheres due to the other two.