It's a very interesting problem. My teacher assumes that the moment of inertia of the child is MR^2
But it turn out the translational K = rotational K ==> total K = mv^2
And some other folks (big guys) said that my teacher is wrong
" What contributes to the total kinetic energy of the system...
This is not a homework question.
An adult exerts a horizontal force on a swing that is suspended by a rope of length L, holding it
at an angle θ with the vertical. The child in the swing has a weight W and dimensions that are negligible compared to L. The weights of the rope and of the seat...
For V of NaOH=0mL
The equilibrium equation is
HF <=> H+ + F-
.1M
-x +x +x
.1 x x
(x^2)/.1 = Ka = 6.8e-4
x= .008246 = [H+]
pH = 2.083745544
With V of Naoh=1mL
HF + OH- <=> F- + H20
(.02)(.1)...
Buffer (pH of a weak acid decreases when we add NaOH! Yes, really..
This is not homework, but just something that I find not following general rule. Just wondering why.
So
We have the titration of 20.0 mL of .100M HF with .100M NaOH
With 0mLof NaOH, the pH=2.08 (by calculating)
But...
I did try this way...I find the region at the interval [-1, 0] by take the integrate of pi ∫(-x+3)^2 - (x^2 - 3x)^2 dx...
Then, pi x ∫ (-x+3)^2 - (-x^2 + 3x)^2 dx for interval [0,1]
Then, pi x ∫ (3x-x^2)^2 for the interval [1,3]
and take the sum of all...and get 56pi/3
but the answer is...
Homework Statement
THe region bounded by y = -x + 3 and y = x^2 - 3x
the region revolve about a, x-axis, and b, y=axisHomework Equations
V = π∫r^2 dxThe Attempt at a Solution
I have no clue to solve it since the volume overlap. I try to ignore the overlapped region but didn't get the right...
Homework Statement
consider the function f(x) = aln(x+2). Given that f'(1) = a/3, what is the approximate value of f(0.98)?Homework Equations
f(x1) = f(x0) + f'(x0)x(x1-x0)The Attempt at a Solution
I solved it and get
f(.98) = aln(1+2) + (.098-1) = aln(3) - (.02)(a/3) <= not an answer
the...