Gravitation Flashcards
Value of G?
6.67×10^-11 Nm/kg^2
Formula for Gravitational force?
F=Gm1m2/r^2
Value of cos 180°?
-1
Integration of sin theta?
-Cos theta
Formula for Gravitational field?
E =F / m
Gravitational field due to a point mass ‘ M’?( F)
E=-GM/r^2
What is the field at the center of symmetrical mass distribution?
Zero
Formula for Gravitational field due to a circular ring at any angle ¢ ?
E=GM/R^2¢ 2sin¢/2
Gravitational field due to a hollow sphere at r>R ?
E=GM/r^2
Gravitational field due to a hollow sphere at r=R ?
E=GM/R^2 (constant)
Gravitational field due to a solid sphere at r>R?
E=GM/r^2
Gravitational field due to a solid sphere at r=R?
E=GM/R^2
Gravitational field at any point inside a uniform solid sphere ?
E=4G(rho)πr/3
or
E=GMr/R^3 ( E directly proportional to r)
Relation between Gravitational force and field?
F=mE
Gravitational potential energy for a single mass?
U=0
Uf–Ui=?
Uf–Ui= –W ( by Gravitational force )
U configuration= ?
U configuration = –W ( by Gravitational force in bringing each mass from infinity)
= +W ( by ext. force)
U configuration= –Gm1m2/r
Gravitational potential energy at infinity?
0
ZERO
Gravitational potential energy is a scalar or vector quantity?
Scalar
( can be added directly)
nCr=?
nCr= n!/r!(n–r)!
( !=factorial)
(n=no of masses -for eg)
(r=no of pairs - for eg)
Eg- 4C2= 4!/2!2!
=4×3×2×1/2×1×2×1
Length of Diagonal of a square?
a√2
