I don't even know where to begin here, could use a hint =/
"Two positive ions having same charge q but different masses, m1 and m2, are accelerated horizontally from rest through a potential difference V. They then enter a region where there is a uniform magnetic field B normal to the plan...
Ahh that works out nicely...
n!=~n^n*e^-n*(2*n*pi)^(1/2)
which leaves me with...
sum from n=1 to infinity of (2*n*pi)^(1/2)
and
sum from n=1 to infinity of (-1)^n*(2*n*pi)^(1/2)
and in both cases the "infiniteth" term doesn't go to zero, so both diverge... is my reasoning sound?
The original series is the sum from n=1 to infinity of (n!*x^n)/(n^n)
I used a ratio test to find that the interval of convergence is -e < x < e
But now I need to test the endpoints, which means I need to find if the following two series converge:
sum from n=1 to infinity of...
So if your car has the same momentum going into each collision, and has 0 final momentum (mass*0 velocity?), then delta p for your car (and thus the force) is the same for each?
average force = impulse/time
If the times are the same, then it just depends on the impulse, which is change in momentum...
For the two cars..
m(50)+m(-50)=2m(0)
delta p = m(50)
?
For the wall..
Consider two situations:
1) You are driving 50 mph and crash head on into an identical car also going 50 mph.
2) You are driving 50 mph and crash head on into a stationary brick wall.
In neither case does your car bounce off the thing it hits, and the collision time is the same in...
Ok I'm playing with that, but tell me something - if I were to calculate the work moving the entire string from 0 to the y-coordinate of the centroid of the curve, that wouldn't work, right? (no pun intended)
Hi - Here's the entire problem to avoid confusion ><
"A kite is flying at a height of 500 ft and at a horizontal distance of 100 ft from the stringholder on the ground. The kite string weighs 1/16 oz/ft and is hanging in the shape of the parabola y=(x^2)/20 that joins the stringholder at...
limit as x->infinity of [(x^2-6x+1)^(1/2)-x]
I have tried to force it into a l'hopital form without much success, and tried to look up a couple different techniques (like replacing x with 1/u and finding the limit as u->zero) but I honestly don't even know where to begin.