# Posts by Damon

Total # Posts: 29,753

physics
Vi = 30 sin 30 = 15 = initial speed UP u = 30 cos 30 = 26 = horizontal speed until caught v = Vi - 9.81 t at top v = 0 (First answer) so at top t = 15/9.81 = 1.53 seconds upward bound THE ACCELERATION IS -9.81 m/s^2 the ENTIRE TIME that it is airborne

check for typo
The way you wrote it k x^2 = (3k-5) x = +/- sqrt(3 - 5/k) but I wonder if you mean kx^2 -3kx+5 which would be x = [3k +/- sqrt(9k^2-20k) ]/2k

Chemistry
k m/r^2 so (3/4)(804)

algebra
I guess maybe you mean 6/ (?3 + 2 ) if so then [ 6/(?3+2)] * [(?3-2)/(?3-2)] 6(?3-2)/[3-4] -6?3 + 12 which is B

Physics
Archimedes said Force up = weight of fluid displaced. It displaced 6.4-5.6 = 0.8 kg of water so its volume is V = .8 kg (m^3/1000kg) = 8*10^-4 m^3 so its density is (6.4 /8)10^4 kg/m^3 =8000 kg/m^3 might be iron

physics
suspect STATIC is 0.68 .68 m g = starting Force .55 m g = constant velocity Force

Algebra
1-4k >= -11 and -1+4k >=-11 -4k >= -12 _and ___4k>=-10 4 k <= 12 __and_____k>=-2.5 k <= 3 note arrow reverse when signs changed so in the end between -3and +3 -2.5 <= k <= 3

Physics
You could have done that, patience :)

Physics
Total force up =100(9.81) = T1 sin37 + T2 sin 53 Total horizontal force = 0 = T1 cos 37 - T2 cos 53 use that to get T1 and T2 now for example moments about left end T2 sin 53 *5 = 100*9.81* X

Math
3(-2)(-2) -2(-2)(3) + 10 12 + 12 + 10 34

system of equations
Oh, and you might want to click on "very detailed solution" :)

system of equations
Click on Gauss Jordan there of course.

system of equations
5 -3 -34 10 -5 -65 (-5, +3) see http://matrix.reshish.com/gaussSolution.php

whoops sorry
xp = 100 +/- 50sqrt2 so about 30 (NOT 70 AS I SAID) if xp = 30 yp = .01x^2 = 9

Calculus
y = a x^2 100 = a(10,000) a = .01 so our parabola is y = .01 x^2 now a tangent to that parabola must pass through (100,50) slope = .02 xp at parabola y = (.02xp)x + b 50 = 2 xp + b b = 50-2xp but yp = .01 xp^2 and yp =.02xp^2 +50-2xp .01 xp^2 = .02xp^2 + 50 - 2 xp .01 xp^2 -...

where is the equation?
I might be able to solve for x given that y is 15 if I had any idea what the equation was.

la
Well I suppose your own :)

math help
3 < 4 three is less than four 4 > 3 four is greater than three and by the way 4<=4 four is either less than or equal to four

physics
31 cos 35

work and energy PHYSICS
at O where h = 0, all kinetic, E= (1/2)m Vi^2 + 0 at Q, not moving any more E =0 + m g Q Total energy during whole trip E = (1/2)m v^2 + m g h as h goes up to Q, v goes down to 0 using the start and finish points (1/2) m V^2 = m g Q Vi^2 = 2 g Q Vi = sqrt(2gQ)

Physics - studying for finals
for the second part, out in a phase angle .05 sin[(2pi/.75)(x+.375t) -PHI] (2pi/.75)(0.50) -PHI = 0 PHI = 2 pi (.5/.75)

Physics - studying for finals
A =0.0500 m L = 0.750 m T = 1/5 = 0.2 goes .75 m in .2 s so v=.75/2 = .375m/s for constant phase (x+vt) the+vt makes it left to make it go 2pi for every wavelength l or time T sin [2 pi (x+vt)/L] now the size .05 sin[(2pi/L)(x+vt)] more numbers in .05 sin[(2pi/.75)(x+.375t)]

Math
(x-1)(3x-2)(x-4i) but (x-4i)is not allowed alone, we also need its complex conjugate (x-1)(3x-2)(x-4i)(x+4i) I get 3x^4-5x^3+50x^2-80x+32

Math
8x + x = 9 x = 63 x = 7 so 8x = 7*8 which is about 56 as I remember.

physics
v = g t = 9.81 * 10 = 98.1 if no air drag but with friction terminal speed is 21 so 21 m/s

Math
x = -2 is a vertical line through the point (-2,0). Y can be anything.

Math (optimization) really confused
three fences of length x two fences of length y A = xy = 225 so x = 225/y p = total length = 2y + 3 x we want to minimize p p = 2 y +3(225/y) dp/dy = 0 at max or min dp/dy = 0 = 2 -675/y^2 2 y^2 = 675 y^2 = 337 y = 18.4 x = 225/18.4 so what is 2y+3x?

They were people, humans.

Physics
F * 0.24m = 31Nm so F = 31 Nm/0.24m

Physics
try throwing something up and see if time stops and moved backwards while the object falls back down.

what do you think ?
The force on this object is F = - m g so a = -g What are your answers?

Physics
v = Vi +a t 30 = 10 + 2 t t = 10 seconds but your answers are about distance d = Vi t + (1/2) a t^2 d = 10(10) + 10^2 = 200 m

Physics
You are welcome. Remember that figure skater spinning slowly with arms extended, then suddenly speeding up when she pulls her arms in :)

Physics
Ip = I of platform =(1/2)(95)(2.4^2) Angular momentum = Ip(2.3) IT STAYS THAT FOREVER New In = Ip +30*(2.4^2) In omega = Ip (2.3) omega = (Ip/In)(2.3) (Part a) b) Her I = mr^2 is zero BACK to original I and 2.3 rad/s c) (1/2) In omega^2 - (1/2)Ip(2.3^2)

physics
You are welcome.

physics
200 food calories for a half cup so 400 for a whole cup 400 cal (4184 J/cal) = 1,673,600 J watts = 1,673,600 J/600 s = 2789 Watts which is 3.74 hp

Physics
height above bottom call it h h = 33(1-cos 31) initial energy = m g h speed at bottom = sqrt(2gh) because (1/2)mv^2 = m g h for part b initial energy = m g h +(1/2)m(25) so at bottom (1/2) m v^2 = that initial energy

Physics
LOL, you answered your own question Potential energy = m g h Kinetic energy = (1/2) m v^2 so (1/2) m v^2 = m g h = 73.8*9.81*23.9 Joules (your first answer) so v = sqrt (2 g h) (by the way, remember that. You need it frequently)

Math
4 1/3 = 13/3 cans/64 oz = 13 cans/192 oz so 96 oz (13 cans/192 oz) = 6.5 cans

Math
Sketch a number line mark them on it like from left to right -13 -7 0 +1 +7

Algebra 1
3 y = - 2 x + 12 so y = (-2/3) x + 4 m = -2/3 and b = 4

History
You are welcome.

History
Oh my ! First check Constitution Amendment 10. Powers not delegated to the US gov. by the Constitution are reserved to the states or to the people (look up exact wording). Local governments do not exist in the Constitution but States reserve powers for them. We are a UNION of ...

Math
You are welcome and good luck ! I hope your grandmother comes through all right.

Math
To check #1 You say B which is y=3x+6 if x = 6 y = 3(6) + 6 = 18+6 = 24 NO! See, you can check without asking me. y = 18+b y = 8 8 = 18+b b = -10 so the RIGHT answer is y = 3x -10 which is A now slope of first = -3 second is 6y = 2x + 3 , slope = +1/3 second slope = -1/first ...

Math
9-t

Math
6*37+43 if she always works 37 hours per week income = 6 * 37 + tip otherwise income = 6 * hours + tip

Physics
second problem same Newton One stuff.

Physics
x momentum = 61.2 * 2.25 FOREVER y momentum = 66.2 * 1.30 FOREVER so final mass = 61.2+66.2 = 127.4 final x momentum : 127.4 * Vx = 61.2*2.25 Remember? final y momentum 127.4 * Vy = 66.2* 1.30 final speed = sqrt(Vx^2+Vy^2) tan theta = Vy/Vx where theta is angle above +x axis

Algebra 2 Honors
You are welcome.

oh my
My work - 2 = 1/4 ?(100 - h) I multiplied both sides by 4 from - 8 = ?(100 - h) ------------- OK SO FAR BUT square both sides 64 = 100 - h h = 100-64 h = 36 domain from 100-h must be + 0<h<100 for range if h = 0, t = 10/4 hits ground if h = 100, t = 0 drop it then so 0&...

Thank you Philip
Thanks :)

Physics
3.4 WHAT?? I assume radians/second but hard to say. I will use that but if RPS or something, convert I disk = (1/2)m r^2 so Id = .5*.4*.36^2 and It = .5 * 1.7 * .36^2 initial angular momentum = It*3.4 final angular momentum (the same of course) = It omega +Id omega = omega(It+...

Math
13 people ( 2 pounds/5 people) = 26/5 = 5.2 pounds

Chem

math
You already have the answer minimum cost is at the vertex x = 20 cars and C = 700 dollars this is a parabola, its vertex is at the bottom,

Math
constant slope, straight line y = m x + b m is constant rate of change of y with x

math algebra
3.2 = .01 h^2 + .2 h + 1.2 .01 h^2 + .2 h - 2 = 0 h^2 + 20 h - 200 = 0 h = -10+/- 10sqrt3 h = 7.32 hr ===================== check h = about 7.3 .01 h^2 = .53 .2 h = .15 + 1.2 = 3.2 ok, it works

Statistics
Combinations p = .65 1-p = .35 P(7,10) = C(7,10) .65^7 * .35^3 C(7,10) = 10!/[7!*3!] =10*9*8/[3*2] = 5*3*8 = 120 so 120 * .65^7 * .35^3 = .252

Physics
there are 3600 seconds in an hour 2000 hr (3600 s/hr) = 7,200,000 seconds

math
You are welcome.

math
where is the vertex of that parabola? You do not say if you know calculus so I will assume we do it the hard way with algebra .009 x^2 -1.08 x = -h -.4 x^2 - 120 x = -111h - 44.4 x^2 -120 x + 3600 = -111h + 3556 (x-36)^2 = -111(h-32) vertex at x = 36 and h = 32 32 -26.5 = 5.5

Physics
friction force = 10*9.81*.42 = 41.2N net force = 200 - 41.2 = 158.8 N a = 158.8 / 10 = 15.9 m/s^2

produces?
if you put 150 in and get 40 out it is 100(4/15) = 27% but it has to get energy from somewhere. It can not "produce" 150 + 40 +110 without putting any energy in. I suspect a typo in the problem description. It does not produce 150 J, it absorbs 150 J

physics
sin 24 = h/3 v = sqrt (2 g h) Now this is virtually the same as your roller coaster problem. Study conservation of energy and potential energy in gravity field.(mgh) and kinetic energy (.5 m v^2)

Chemistry
perhaps this can help: http://physics.stackexchange.com/questions/7993/photon-hitting-an-atom-with-higher-energy-than-needed-to-ionize Also maybe Google: Einstein photoelectric effect

Physics
check, drops 15 meters to top of loop v^2 = 2 g (15) needs v^2/30 = g sure enough 2*15 g /30 = g

Physics
Note this does no depend on the mass (lucky or it would be different for skinny kids and fat adults), or even on g (independent of planet:)

Physics
g = v^2/r at top of loop g = v^2/30 solve for v^2 = 30 *g now the car drops A-2r to that point at the top of the loop (1/2) m v^2 = m g (A-60) v^2 = 2 g(A-60) 30 g = 2g (A-60 ) = 2 g A -120 g 150 g = 2gA A = 75 check my arithmetic !

Trignometry
He told you how to do it 1. add the south components of each to get the south component of the resultant , S 2. add the west components of each to get the west component of resultant, W get the magnitude sqrt(S^2+W^2) tan A =W/S where A is angle west of south

wrong
(4*4)/(4*6) = 4/6 = 2/3

Math
x _y____y(n)-y(n-1) ___ next diff 1__0______ 2__5______ 5 3__10_____ 5____________0 4__15_____ 5____________0 5__20_____ 5____________0 6__25______5____________0 THAT is constant diff now x _y____y(n)-y(n-1) ___ next diff 1__1______ 2__4______ 3 3__9_______5____________ 2 ...

Physics
1 what? coulombs/m^2? coulombs/cm^2 ? I will assume m^2 and call it x area = A = 4 pi r^2 A = 4 pi (r)^2 Q = 1* A potential= V = k Q/r = Q/(4 pi eo r) V = 1* 4 pi r^2/(4 pi eo r) V = r/eo

Physics
mass(specific heat * 40 + heat of fusion of water)

Physics
.25 * heat of vaporization of water

no
there is no temp change involved here, just the heat to melt at 0 Q = mass * heat of fusion = 3 * 3.3*10^5 = 9.9 * 10^5 Joules

Maths
(2/3)(600) = 2(200) = 400

Algebra
.7 x + .2 y = .4*500 x + y = 500

Physics
a = -9.81 =-g v = -9.8 t h =Hi - Vit - 4.9 t^2 = Hi -4.9 t^2 You do not say the original height, Hi Vi, initial speed, is 0 so t ____ a ___ v ___ h 0 ___ -g ___ 0 ___ Hi - 0 1 ___ -g ___-9.8__ Hi - 4.9 2____ -g____-19.6_ Hi - 19.6 3 ___ -g ___-29.4_ Hi - 44.1

physics
force in direction of motion * distance moved = 300*10 = 3,000 Joules

science
I am inclined to agree with you, thinking about India moving north.

Physics
fell 40 m v then is Vi =sqrt(2gh)= sqrt(2*9.81*40) = 28 m/s so in the 12 m he slows from 28 to 8 m/s average speed = (28+8)/2 =36/2 = 18m/s t = 12 / 18 = 2/3 second average total force = change in momentum/time = 55 * 20 *3/2 = 550*3 = 1650 but add the weight which the bunge ...

Physics
there are 60*60 = 3600 seconds/hr 2000 hr *3600 s/hr = 72*10^5 s times 100 watts = 72*10^7 Joules 720 million Joules :)

You mean zeros of f(x)?
x = [5 +/- sqrt(25 -12) ]/2 = [5 +/- sqrt (13) ]/2 now run your calculator

Math
You are welcome.

Math
yes it is, it goes up 8 and right 3 graph it :)

Math
dy/dx = (13-5) / (4-1) = 8/3

Algebra
6 -2+4i needs -2-4i that is three, we need two more but your last one is real, therefore I suspect a typo perhaps it should be 4 - sqrt-2 which is 4 -i sqrt 2 then we would have 4 - i sqrt2 and 4 + i sqrt 2

Math
multiply everything by A m t mt = At + Am At = m (t-A) t = m(t-A)/A

Math
m = minivans p = other (what we want p = (5/2) m or m = 2 p/5 m + p = 39 2 p/5 + 5 p/5 = 39 7 p/5 = 39 well, you are not going to get a whole number of vehicles

Chem
2 electrons fit it that first shell. Helium has exactly 2, no extras and not short any. Therefore He does not want to combine with other atoms, including another He to form a chemical compound or molecule. Therefore called "noble". Hydrogen for example has ONE ...

math
with what you wrote we can combine like terms, but with no equation we can not calculate a value for a

math
2 a + 2

Probability Help
1/10 *1/10 * 1/10 * 1/10 = 1/10,000

College Math
4 w and 5 b so 9 first one 5/9 second 4/8 third 3/7 fourth 2/6 so 5/9 * 1/2 * 3/7 * 1/3 (5)/(7*18) = 5/126

Math
base^logbase (x) = x w^ log Subscript w (Q)=w^ 13 Q = w^13

Math
dr/dt = .118 r dr/r = .118 dt ln r = .118 t + c r = e^(.118 t +c) = e^c * e^.118t when t = 0, e^.118t = 1 r = e^c = 300 so r = 300 e^.118 t

Algebra
7y = -4 x + 8 y = -(4/7) x + /7 so m = -4/7 y = -(4/7)x + b -2 = -(4/7)(4) + b -14/7 + 16/7 = b b = 2/7 so y = -(4/7)x + 2/7 7y = -4x + 2 for the second one m = -(-7/4) = 7/4 so y = (7/4) x + b now put x = 4 and y = 2 in again to find b

Algebra I doubt it
570 feet/second ???? You threw it up at about 400 miles per hour, typo but anyway where is the vertex of that parabola? 16 t^2 -570 t = -h t^2 - 265/8 t +265^2/16^2 = -h+265^2/16^2 (t-265/16)^2 = etc so vertex at t = 265/16 BUT I do not believe you

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