Newton's Cradle with unequal deviding masses
From: mikeboarder (mikeboarder83_at_hotmail.com)
Date: 02/02/05
- Next message: Mike: "Re: Antarctic's ice 'melting faster'"
- Previous message: Nick: "Re: Light disappears?"
- Next in thread: mikeboarder: "Re: Newton's Cradle with unequal deviding masses"
- Reply: mikeboarder: "Re: Newton's Cradle with unequal deviding masses"
- Messages sorted by: [ date ] [ thread ]
Date: 2 Feb 2005 14:49:27 -0800
I have a serious problem, i cant stop thinking about it!
if you have a "newton cradle" with for example 9 pendulums. And if
they all have the same mass (Mx), except for the most left one. that
one has a mass My. so that My/Mx is no whole number. e.g. 1,5.
when this one is lifted and collides, two things would be held in mind
i suppose:
the ball hits with velocity v1
1. preservation of momentum.
2. preservation of Energy.
what wil happen at the other end?
when I try to solve=> 1.5*Mx*V1=M*V2
and 1.5*Mx*V1^2/2=M*V2^2/2
M stands for the unknown mass that will leave at the right side. for
M=integer*Mx these equasions have no solution. So I made the right end
2 separate balls with mass Mx (of course) and velovity Vs and Vt the
equasions:
1.5*Mx*V1=(Mx*Vs+Mx*Vt) and 1.5*Mx*V1^2/2=(Mx*Vs^2/2+Mx*Vt^2/2)
this gives solutions :
{Vt = 1/2*(3/2+1/2*3^(1/2))*V1, Vs =
1.500000000*V1-.5000000000*(3/2+1/2*3^(1/2))*V1}, {Vt =
1/2*(3/2-1/2*3^(1/2))*V1, Vs =
1.500000000*V1-.5000000000*(3/2-1/2*3^(1/2))*V1}
one of these states that the left one from te two right-end balls is
faster than te most right one=> impossible. => one single solution.
is this the solution? because if you make 3 seperate balls their one
ball could have the speed he wants and the other two shall compensate
to fit the equasions. but certain values would be possible,no?
so how could you know how many pendulums will swing out?
and is my reasoning correct? thanks alot!
- Next message: Mike: "Re: Antarctic's ice 'melting faster'"
- Previous message: Nick: "Re: Light disappears?"
- Next in thread: mikeboarder: "Re: Newton's Cradle with unequal deviding masses"
- Reply: mikeboarder: "Re: Newton's Cradle with unequal deviding masses"
- Messages sorted by: [ date ] [ thread ]
Relevant Pages
|
