Evaluate ∫-x/(x+1) dx
The Attempt at a Solution
I do a U-sub
-∫[u/u - 1/u] du
-∫1 - 1/u du
-[∫1du - ∫1\u du]
-[u - ln(u) + C]
I combine -1 and C into a single C to get...
Why would you need two rotating parts?
You could just put two opposite facing rockets positioned on opposite sides of the craft. Start em up, wait until the adequate rotational velocity is reached, then shut em off.
I meant 3.0e^8 because final equation involves using 2.2us.
Doesnt that require the answer to be two sig figs?
0.999978c = 2.999934 E8 m/s
Which should be rounded to 3.0 E8m/s (due to the 2.2us)
Actually, I knew the problem was simplified in the half life aspect. :-)
This is the frirst SR problem in his book. I think the question is flawed.
The solution assumes a speed of 3.00 E8 m/s to calculate Δt=333us since it traveled 100km.
Next, 333us and 2.2us is used to solve for velocity using the time dilation formula. Velocity is reported to be .999978c...
This is what my intuition tells me.
This is the quote from Hawking that confused me:
So, the qualifiers are that the stars must be "roughly uniformly" distributed?
It seems strange to not further clarify...especially when he says they will "always collapse."
Can anyone explain this to me?
If we have an infinite amount of balls arranged in a kind of cubic matrix, in an infinite and static space...how the heck would that collapse on itself due to gravity?
I think we are talking about different things.
To help determine the identity of an unknown chemical, we can do an IR analysis. We shine IR radiation through a chemical, and the bonds between atoms will absorb IR radiation at specific wavelengths.
I don't know about atoms giving off IR...