Vikas TU
Last Activity: 7 Years ago
Impulse(J) =Integral( Fdt) ..(I cannot put the fundamental sign pls get it)
= integral(kq q/r dt) = kq q vital( dt/r ) = kq q fundamental( dt/r (dr/dr) ) ( mulytiply and separate by dr)
= kq q necessary( dr/r v) (since v = dr/dt ) .....(1)
in any case, we can't coordinate eq 1 as v is a variable and we need to express it as an element of r before continuing with the
coordination...
This can be accomplished by moderating vitality..
Ei = Ef
kq q/R + 0 = mv/2 + kq q/r
or, on the other hand v = [ (2kq q/m)(1/R - 1/r) ] ....( call this condition 2 )
substitute eq 2 in 1 to get
J = Integral ( dr/{ r [ (2kq q/m)(1/R - 1/r) ] } ).....(3)
presently you can coordinate it from R to 2R.
The joining is bit lengthy..but not tidious thus I am maintaining a strategic distance from it here ....but I can give u a clue...
Subsequent to simpifying eq 3 utilize the substitution (r-R)=t
after that substitute t = Rtan(X)...the fundamental will lessen to the shape .... An Integral(cos (X) dx )...(A is a constant).which can without much of a stretch assessed utilizing the development of cos(3x).