Cool beans,
Is there a simple way to solve these though?
A shortcut method?
Wait, I found it...
It's the line created from the points z1= -1-2i and z2 = 2+3i
Gradient = \frac{3 - (-2)}{2 - (-1)} = \frac{5}{3}
y = \frac{5}{3}x + b
(-2) = \frac{5}{3}(-1) + b
-6 = -5 + 3b
-1 = 3b
b =...
If you lift an object, you are giving it gravitational potential energy.
So, to put it at the top of that incline, it will have gained potential energy.
When it is released, it is losing potential energy, but gaining gravitational kinetic energy.
KE = PE
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When...
Essentially, the function for this:
There isn't really a context, I'm not currently studying anything relating to this, it just interests me to see the behaviour of waves.
I seem to have found it, by looking for an example image.
z = sinx(√(x2+y2))
I thought the maths area would be the best place to ask..
What kind of function would represent a 3 dimensional sine wave?
A sine wave, where the z-axis lays on the circumference of a circle.
The length will affect it more than anything; the standing wave that occupies it is determined in large by the length, as this affects the number of nodes that can form..
f=\frac{nv}{4L}
n = harmonic [where you can only have odd harmonics [1, 3, 5, etc].]
L = length.
v = velocity of the wave.
(ms×vs)+(mb×vb) = (ms+mb)v^2
Where:
ms = Mass of student
vs = Velocity of student
mb = Mass of bag
vb = Velocity of bag
In writing;
The sum of the initial momentum (p=mv) on both objects is equal to the final momentum, where the masses are combined.
If you have objects moving on angles, you...
In which way?
I could make V= 55L2H
{Area of the base × height.}
I haven't tried using my premise that the most efficient {volume:surface area} is a cube, with the implication of V= L3
I'll give that a shot.
Otherwise, I am truly stumped.
Maxima word problem -- Not sure about my answer.
This was in an assignment handed out after our introduction to extrema's.
A builder wants to build a small building consisting of 4 walls and a roof (all rectangular). The cost of the bricks for the walls will be $25/square metre, while the roof...
Prove:
\frac{CosθSinθ}{1 + Tanθ} = Cos2θ
===========================
I multiply out the denominator to get:
CosθSinθ = Cos2θ + CosθSinθ
I cannot seem to prove it.
Starting to think it's a trick question.. :/
The amount of water in a tank doubles every minute. If the tank was full at the 1 hour mark, when was the tank half full?
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It's not homework, I'm just trying to get the actual (reasoned) answer..
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Here is the answer I argued (though...
A block is sliding down a 30° incline at 1.2ms^-2
Find the coefficient of static friction.
[g=9.8ms^2]
I am stumped..
Some relevant equations:
Fr = μ(Fn)
Fn = mg
Ultimately I got μ=0.5 ---> This was through mashing and playing with some trig.
LaTeX -- How do I acquire it?
To whom is reading,
Can you please either:
(a) - Direct me to where a tutorial or explanation is located on this forum (If there are any).
(b) - Direct me to where I can find a tutorial or explanation on how to acquire and install it...
This gave me the same result [5cm, 0.05m] as one of the ways I tried it originally:
[v^2 = u^2 + 2ad]
Where:
a = F/m = 4N / 1.6kg = 2.5ms^-2
v = 0.5ms^-1
u = 0ms^-1
(0.5)^2 = (0) + 2 (2.5) d
0.25 = 5d
d = 0.25/5
d = 0.05m [5cm]
-------------------------------------------------...
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Question:
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A 1.6 kg block is pushed into a spring with spring constant of 1.0 x 10^3 N/m. The spring is compressed a distance of 2.0 cm [0.02m], and the block is released from rest in the horizontal direction.
(a) Calculate...
G'day, i am new here, and have quite a profound lust for maths/physics.
This simulator is brilliant, though i am not sure how accurate the simulation represents gravitational equations.
http://nowykurier.com/toys/gravity/gravity.html
Give it a go.
:biggrin: