Homework Statement
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Your niece finds her father's watch. The light watch chain has a length of 48 cm, and the mass of the watch is 270 g. Your niece swings the watch in a vertical circle, maintaining the speed of the watch at 2.3 m/s. Find the tension in the chain when it makes an angle of...
Homework Statement
A massless spring with a spring constant k = 500 N/m is suspended from a hook on the ceiling of a cargo truck moving in a straight line (horizontally) on the highway. A child reaches over from her seat and suspends a 1.1 kg toy on the free end of the spring. The child...
I have to write a research paper on a mathematical topic for my class; I chose the above topic.
I understand that a parabola can be formed using a focus and directrix, both created by origami folds, and that Axiom 6 of Origami-Folding (Given two points p1 and p2 and two lines l1 and l2, there...
Homework Statement
A mass of 0.4 kg, hanging from a spring (k= 80N/m) is set into an up-and-down SHM. What is the speed of the mass when moving through the equilibrium point? The starting displacement, A, is 0.10 m.
Homework Equations
a = -kx/m
ω = 2pi/TThe Attempt at a Solution
I tried to...
This isn't a question, per se.
I have to write a 2500 word + research essay on a mathematical concept for school. It's expected that I look into university-level concepts; game theory and abstract algebra are among common subjects.
I proposed some ideas to my math teacher, but they were shot...
The Question
Find the limit as x approaches 2 from the left for the equation
arctan(3/(x-2))
Work Done
I'm not really sure even where to start. My teacher didn't go over this type of question. I don't see any way to mess with the equation to make it so we can plug in 2, and I don't see how...
Homework Statement
Calculate the Electron Affinity of F(g) in kJ/mole using Hess' Law.
IE1 + IE2 of Sr(g) is 1580 kj
Hsub of Sr(s) is 144 kJ
Hdiss of F2 is 79 kJ
Hf of SrF2 (s) is -1215 kJ
Hlatt of SrF2 (s) is -2441 kJHomework Equations
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The Attempt at a Solution
1. Sr(g)+Sr+(g) ->...
Okay, so then:
If ΔEk + Epf = W
Then:
ΔEk = (40N)(10m) - (5kg)(9.8m/s/s)(10(sin(20)))
ΔEk = 400 - 167.58
ΔEk = 232.410... = 232.4 J
That's the correct answer! Thank you very much. I hadn't thought of just finding the total change in kinetic energy instead of finding them separately.
Homework Statement
A 5.0 kg box slides up a 10 m long frictionless incline at an angle of 20 degrees with the horizontal, pushed by a 40 N force parallel to the incline. What is the change in kinetic energy?
Homework Equations
Ek = 1/2 mv2
Ep = mghThe Attempt at a Solution
I tried to assume...
So I graphed it on a graphing calculator, and lo and behold, a graph where there is no horizontal tangent line.
At this point, I'm hoping I just remembered it wrong; but it's probably just my teacher being a horrible troll again. An eight mark question with no real answer? Sounds just up his...
I can conclude that my teacher is crazy trying to make a bunch of grade elevens solve this on a marked test without explaining it at all.
Sorry. Jokes aside:
Are you implying that there are no real solutions for this question then?
Okay, so if we plug in x = 0 into $$3\left(x^2+y^2 \right)^{\frac{1}{3}}-2=0$$
$$3\left(y^2 \right)^{\frac{1}{3}}-2=0$$
$$y^{\frac{2}{3}}=2/3$$
$$y^2=(2/3)^3$$
$$y=+/-(8/27)^{\frac{1}{2}}$$
If we substitute that into the original equation:
$$(x^2+y^2)^{\frac{2}{3}}=x^2-y^2$$...