Slope Definition and 770 Threads

I am doing an investigation of how much a beam sags, based on the distance from its midpoint. This is my hypothetical equation: The relationship between distance, d and sag, s is not a linear relationship. Below, is the determined relationship between the variables, linearized by natural...

So far, I have this: For Part ii) I know that: mgh = xmgsin(theta), but I don't know how to go further

(The answer from the markscheme is 26.7)

I'm trying to understand the difference between subthreshold slope and transconductance. The subthreshold slope is the change in drain current / change in gate voltage. The transconductance of a MOSFET is proportional to the drain current / VGS - Vth. It would seem the subthreshold slope is...

ok probably if one did a lot of these this could be solved by observation others separate the variables and take to Integral to get the equation

I'm just going to post this image now since my tablet won't render the latex. This is a free response question.. But my experience is that the methods of solving are more focused here at mhb saving many error prone steps.. Mahalo ahead...

Hello, I hope you are all very well. I am in second year of High School and I have a practical work in physics. The experiment was to release a long tape with a mass of 40g at the end from a certain height. An instrument would hit the tape 50 times/s and put a mark each time. From that we have...

I am new here and my response may have lost context info. This is a response to Dale. As to whether it is a good idea. I considered the example of a ladder tilted out from the base of a building and picked a rather insane way to measure slope, that is with various noisy measurements of...

I've drawn the graph and it's a straight line and I've found the slope but I don't really know what the slope represents. My slope was also 0.002 if that helps with what it represents

Homework Statement: A perfect hemisphere of frictionless ice has radius R=7 meters. Sitting on the top of the ice, motionless, is a box of mass m=7 kg. The box starts to slide to the right, down the sloping surface of the ice. After it has moved by an angle 11 degrees from the top, how much...

I am trying to solve accelerations of a cart on these different slopes. I don't understand how it is possible without knowing the coefficient of friction, but my teacher says it is (very cryptically I might add). Can anyone help me understand this? Thanks.

I seem to be able to do this problem (at least from what I think, but my answer is still wrong according to the answer key, please do help check.) Since: Gain in GPE = Loss in translational KE + loss in rotational KE ##\left(m\cdot g\cdot...

Homework Statement: Find a slope of line? Homework Equations: The slope of a.line is 4:2=2 Can someone tell me if is right Thanks

image to avoid typos

The question says that the process is melting, so temperature must increase. Hence, Delta T > 0. Also, it is given that the slope for its fusion curve is -ve, which means that as we increase temperature, the pressure will decrease. So, Delta P < 0. The question asks to prove that the substance...

Im really stuck with this problem ! any help would be much appreciated

Homework Statement hey I need help with this question I have this sketch and the tell me that m1= 2 kg, m2= 5 kg the say that we don't have friction between m2 and the floor the kinetic friction between m1 and m2 is 0.2 and the static friction is 0.5 and we have the f - f pushing m1 Homework...

Homework Statement This is not a direct homework problem. Rather, I modified several that I saw that had different slopes but with the same initial velocity, and the same height answer: An icy, frictionless road slopes upward with angle Θ ° above the horizontal. A snowboarder of mass m...

Homework Statement I plotted a graph where Capacitance is at y-axis and Inverse Distance is at x-axis. It looks like a positive, increasing function. I am asked of a best fit, also an equation. But i am not sure whether to use quadratic or linear fit. I am also asked of what the slope...

Hi, I'm trying to calculate the slope of a pH probe using 7.0 and 10.0 buffer solutions. I've been searching for hours but all examples use 7.0 and 4.0. I've calibrated my probe using the 7.0 and 4.0 buffers and calculated the slope, then I used 7.0 and 10.0, used the same math for the slope and...

Question: Beginning at rest from the top of the slope, what is the speed at C and at D? I don’t understand how to solve this question without being given the skier’s mass, acceleration, time or angle. I drew a triangle vector diagram with delta d1 using the distances given. And i made gravity...

Homework Statement A thin plank of mass M is placed centrally across two solid cylindrical rollers each of mass m, and the system is allowed to move freely from rest without slip down a slope of angle θ as shown in the figure below. (a) Derive expressions for the initial accelerations of the...

I'm looking for a little help here. I'm just a relatively regular Joe here though, so any complicated formulas are likely to go right over my head. What I'm trying to do is use the Ruby programming language to convert rise and run (slope) to degrees. See the attached screenshot... Assume x...

Hello I have the exercise below: Consider the function f(x)=1−8x2 on the interval [−5,6]. Find the average or mean slope of the function on this interval, i.e. [f(6)-f(-5)]/[6-(-5)] according to the theorem of laGrange the slope in a continues function which is derivable in an interval...

I'm doing a lab report from electronic spectrum of iodine. I did Birge-Sponer plot from my data. Excel gave it to me a slope y = -2,0698x+133,34. From regression analysis I get uncertainties for slope and intercept. Slope: ##-2,069761731 \pm 0,075075941## Intercept: ##133,3385857 \pm...

Homework Statement A 80kg skier has a force of 200 Newtons exerted on him down a slope. Assess whether the slope is less than or greater than 45 degrees. Homework Equations Weight = mass times acceleration due to gravity The Attempt at a Solution The vertical component of his weight is 800...

Homework Statement The lab: Centripetal Force Lab a Rubber stopper is moving in a horizontal circle at a constant radius and it is attached to a string where at the bottom, there is a mass where the mass is 100g, 150g, 200g, 250, and 300g (can see image attached) from the lab, I collected...

Homework Statement A) For a steel ball rolling down a 35 degree slope from a height of .5 m above the table, how far will the ball travel in the x direction if it launches horizontally from the table which is 1m high For the same ball rolling down a 45 degree slope from one meter high, what...

Homework Statement For ##y=f(x)##, find the slope of the tangent line to its inverse function ##f^{-1}## at the indicated point P. ##f(x) = -x^3-x+2## , ##P(-8,2)## Homework Equations The Inverse Function Theorem: ##(f^{-1})'(x) = \frac{1}{f'(f^{-1}(x))}## The Attempt at a Solution So...

Homework Statement We're supposed to convert a position-time graph to a velocity-time graph to an acceleration time graph. These are the values for the position-time graph: Homework Equations m = y2-y1/x2-x1 The Attempt at a Solution I found the slopes for each time which were 5, 8.5, 17...

Homework Statement Find the slope of ##y=x^2+4## at (-2,8) and the equation for this line. Homework EquationsThe Attempt at a Solution This problem is intended to give an intuition on how limits work and I think I get the general idea. If we want to find the rate of change (or slope) of some...

Homework Statement What is another form of point slope formula Homework Equations Y = mx+b The Attempt at a Solution Y - y2 = m(x - x2) I’m not sure I’m trying to find B but I don’t know how

Homework Statement The truck is on the slope 45 degrees and on it is acting a horizontal external force. How big is the force of the ground if the mass of the truck is 5000 kg and the truck is not sliding down the slope? Homework Equations First of all I drew myself a sketch. Then I asked...

Homework Statement An object is placed on a slope with initial velocity v=0m/s. Angle of the slope is 30 degrees and the coefficient of friction (or friction factor, not sure how it's said in English) is given as u=0.1*(x/m) where x is the path traversed and m is the mass of the object. After...

Homework Statement Homework EquationsThe Attempt at a Solution Wikipedia is saying to use But when i take the points on my graph i am getting a slope of -0.61 using this formula. When i use the standard (y2 - y1)/(x2 - x1) i get 1.02 which makes more sense ok now i have picked some...

Hi all, my friend asked me how to find the slope and intercept of ##ln_(tnd)## vs ##ln(\Gamma)^{-2} ## in equation 7 of p 1031 in the file attached. I believe the slope is just ##\frac {B \gamma}{T} ## , the coefficient of ##ln(\Gamma)^{-2} ## and, since the relation goes through the origin...

<Moderator's note: Moved from a technical forum and thus no template.> I've done an experiment on standing waves on a string. By graphing √T vs λ (where T is tension and λ is wavelength) using the linearized equation √T = (1/√μ) f ⋅ λ, I was able to get this data: μ = .000256 kg/m slope = 1.78...

Homework Statement convert: Y − 200 = −4 (X − 15) to X = −0.25 ⋅ Y + 65. with a given Δy/Δx = -36/4 Homework Equations point slope, slope intercept The Attempt at a Solution I understand point slope, slope intercept, and standard form, I understand how to convert one to the other, but I...

Homework Statement A 1500 kg car is traveling at a speed of 30.0 m s-1 when the driver slams on the brakes and skids to a halt. Determine the stopping distance if the car is traveling down a 10o slope. The coefficient of kinetic friction between the car and the road is 0.80. Homework Equations...

So the slope is of course a ratio of the change in y-coordinates to the change in x-coordinates. This is easy to see with a linear equation. I just came across a cool math simulator ( https://phet.colorado.edu/sims/equation-grapher/equation-grapher_en.html), and I left the first value (ax^2)...

Homework Statement In the notes , I can't understand that why as the pore water pressure dissipated , the shear strength of soil will decrease secondly , why the excess pore water pressure is negative when unloading occur ? Homework EquationsThe Attempt at a Solution I think it's wrong , as...

Homework Statement I have the answer for part a, which is: $$\theta '' + \frac{a}{r} \cos \theta + \frac{g}{r} \sin \theta$$ My issue lies with getting the following equation of motion for part b, $$\theta '' + \frac{g}{r} \cos \alpha \sin \theta = 0$$ Homework EquationsThe Attempt at a...

The function that passes through (8,3) and every time x increases by 1 unit, the fuction decreases by 7 units

Homework Statement An experiment that involved swinging a mass in a circle was conducted. After graphing both sets of data, I obtained linear graphs of which I calculated the slopes for. I got a slope of 3.5 for the force vs frequency^2 graph and a slope of 0.73 for the radius vs period^2...

Homework Statement Three points are given with errors on y coordinates. (2.00,4.70±0.36); (4.00,6.8&±0.45); (5.00, 9.10±0.50) Using LSQ method, find the error on slope. Homework Equations σm = σy√(n/Δ), where σy = √(1/n-2(Σ(yk - y(xk))^2)) and Δ = nΣxk^2 - (Σxk)^2 The Attempt at a Solution I...

Homework Statement I uploaded the question as an attached file. Homework Equations Fz = mg , F = ma , The Attempt at a Solution The slope : x Perpendicular to the slope: y I thought the Y forces can be neglected because the normal force counters the y component of the gravitational force...

The y-intercept of the line in the figure is 6. Find the slope of the line if the area of the shaded region is 72 square units. A line from quadrant 2 to quadrant 1 form a right triangle that is shaded. If the area of the shaded triangle is 72, then 6 • what = 72? The length on the x-axis...

Homework Statement The equation of the line that goes through the points and can be written in general form . What are the values for A, B, and C? Homework Equations Ax+By+C=0 The Attempt at a Solution [/B] I think the answer is x=1. But how do i express that in general form?

Show that the slope of the line passing through the points (x, x^2) and (x + h, (x + h)^2) is 2x + h. Let m = slope The slope m is given to be 2x + h. 2x + h = [(x + h)^2 - x^2)/(x + h - x)] I must show that the right side = the left side. Correct?

Why is the lower case letter m used to represent slope? Doesn't it make more sense to use the letter s to represent slope, you know, s for slope?