Slope Definition and 770 Threads

Homework Statement I just had a test I can't remember exactly how the question went but it was a relatively easy differentiation problem. I can only remember my result, which was y' = 2sinxcosx - sinx Homework Equations The Attempt at a Solution I noticed that 2sinxcosx is...

The question: Two packages have just started sliding down a ramp that forms an angle of 30 degrees with the horizontal. They are connected with a rope. Package A is 6m up along the ramp, with a mass of 4 kg and a coefficient of kinetic friction of 0.3. Package B is directly above 4 m further up...

Homework Statement There is the suggestion to use an alternative estimate for the slope $$\beta$$ in the linear regression $$y_i=\alpha+\beta x_i+\epsilon_i$$which is formulated as $$B=(y_{max} -y_{min})/(x_{max} - x_{min})$$ Prove that such a formulation of $$B$$ is unbiased. Homework...

Kinetic energy of ball sliding down slope with electric field?? Homework Statement As shown in the figure above, a positively charged ball is placed at point A and slides down the slope from rest. The area has a uniform electric field E = 26.1 N/C, pointing to the right. The mass of the...

Homework Statement 1. For the curve y = x^2+ x, and the point P (1,2) a) determine the slope of the secant mPQ if Q(2, 6) b) what is the slope of the secant if Q is at the following values of x 1.5 1.1 1.01 1.001 c) Estimate the value of the tangent to the curve at P. Reason...

Say you have an object on a smooth friction-less slope, and a force 10N (acting parallel to the slope) is applied to it to move it at a distance 5m up the slope. Work done by the force is: force*distance. In this case, 10*5 = 50 joules of energy Does all that energy get transferred to...

Hey guys, I am trying to figure out which motor to order for a side project of mine. I am trying to push a 1000 pound cart up a 10 degree incline. The cart has four elastomer wheels, and may possible encounter carpeted surfaces. I'm not quite sure what to expect in regards to a coefficient of...

Homework Statement x(t) = (t^2 -1) / (t^2 +1) y(t) = (2t) / (t^2 +1) at the point t=1 Homework Equations Line equation = y-y1 = m(x-x1) chan rule = (dy/dt) / (dx/dt) = dy/dx The Attempt at a Solution I find the y1 and x1 values by subing in t=1 to the x(t) and y(t)...

A 300kg block is sitting on a slope of 20 degrees, the coeff of friction is 0.75, if the block is connected to a mass hanging vertically via a pulley, what is the mass of the hanging block such that it will overcome friction but not move the block F = mgsin20 for the force acting down the...

Homework Statement I've got the equation of a parabola y=2x^2-4x+1 with point (-1,7) and a tangent line running through it the point. I'm supposed to find the equation of the line. Simultaneously solve this equation with that of the parabola, place the results in form ax^2+bx+c, and find the...

Homework Statement Eddie "The Eagle" Edwards takes off on the 90 m ski-jump with a horizontal velocity of 20 m/s. If the gradient of the landing slope is as shown, find the distance L along the slope covered by his jump,ignore any effect of the air on this eagle. Image given...

Homework Statement a)A snowball, initially of mass m0, slides down a slope of incline angle ∅. As it moves, mass of additional snow Δm = αx. Write down the differential equation of translational motion for the snowball, ignoring rotation and friction. b)If the snowball starts from rest...

Homework Statement I'm reading Feynman's lectures on physics to brush up on material I haven't looked at in a while, and I got confused by one of his statements. He claims that the change in potential energy of an object traveling down a slope can be calculated solely by the change in...

Can some one please tell me the equation needed to caculate the torque needed 1. to overcome gravity trying to make you roll down hill and 2. ride up hill at 10km/h for a 100kg (bike & rider) on a bike with 66cm wheels on a 10' slope? cheers stan

Homework Statement A 50Kg skier skies down a 25 degree slope. at the top of the slope her speed is 4m/s and accelerates down the hill. the coefficient of friction is 0.12 between skies and snow. ignoring air resistance calculate her speed at point that is displaced 60m downhill...

Hi guys, I'm very confused by a slope question...I've read that for a person with mass m on an inclined frictionless slope, it's normal force perpendicular to the surface is always equal to the y-component of the weight. Why? I'm always thinking that since the person slides down, he can also be...

The title is fairly misleading but is within the subject. I have drawn up a beam of my own as part of my classwork because what bothers me is how you would find Young's Modulus [E] and the second moment of inertia [I] without being given them. Every question I have looked at has given me...

Hi guys new to the forum - sorry if I'm not as advanced as you lot :-p I'm currently only at A Level in my adventures of Physics! (I didn't think this would fall under homework help, I apologize if it does) Anyway, tomorrow in school there is a house technology project, and I've been entered...

Homework Statement find the slope-intercept form for the line satisfying the following conditions x intercept 2, y intercept 2/3 Please let me know if I solved this correctly. Thankyou. Homework Equations The Attempt at a Solution 2, 0 0,2/3 (2/3 -0) / (0 - 2) 2/3 / -2/1 2/3 * -1/2...

Homework Statement find the slope of this line it contains these points: (-16, -1) , (-17, -7) Homework Equations y = mx + b The Attempt at a Solution i got y = 3/8x - .625 is that correct? my work i use -7 +1 / -17 + 1 ==-6/16 ==6/16 = 3/8 then i used -7 =...

Homework Statement A skier leaves the starting gate at the top of a ski jump with an initial speed of 4.00 m/s. The starting position is 120m higher than the end of the ramp, which is 3.00m above the snow. Find the final speed of the skier if he lands 145m down the 20 degree slope. Assume...

Homework Statement I have done an experiment where every 10 seconds I had to say my instantaneous speed while drivng a car and my co-passenger would record the time (we carried this out over 20 minutes). I then plotted this out on a graph with time (s) on the X axis and km/h on the Y axis...

Homework Statement Find the equations of both the straight lines that are inclined at an angle of 45 ° with straight line 2x + y - 3 = 0 and passing through the point (-1 , 4) Homework Equations tan θ = (m1 - m2)/(1+ m1m2) The Attempt at a Solution If I were to use the equation above, how...

Homework Statement Find f if f"(x)=12x2+2 for which the slope of the tangent line to its graph at (1,1) is 3.Homework Equations The Attempt at a Solution What I did first was found f(x)=x4+x2+cx+d (cx and d being constants of integration.) and from this point I attempted solving for cx and d...

Does gravity always move an object down the path with the steepest slope? I just finished reading about the vector gradient in calculus and a problem jumped in my head: "Can I make a formula for the work it takes to push an object from the bottom of a hemisphere to the top along the...

A 40.8 kg box is being pulled up a 13.5 deg slope by a force of 294 N which is parallel to the slope. The coeffcient of kinetic friction between the box and the slope is 0.21. what is the acceleration of the box? ----------------------------------------------------- Equations: F=MA, Fk=μk(MA)...

Homework Statement I quickly copied this down, so it is paraphrased but I hope it still makes sense. Some children are playing with a spring toy, compressing it off the ground and seeing how high it bounces. When they attach different masses to it, it bounces different heights. Each time...

Homework Statement The question is: An empty sled of mass 25 kg slides down a hill with constant speed of 2.4 m/s. The slope of the hill is inclined at an angle of 15 degrees How come the normal force of the sled is NOT 250 N? Homework Equations

Homework Statement In a physics lab we were finding slope on semi-log graph paper, with the y (up) axis representing tension in Newtons, and the x (sideways) axis representing θ in radians. Sadly, the prof introduced the new concept of natural logs to me - I'd never heard of these until this...

Homework Statement If the left-hand slope in the figure makes a 60 degree angle with the horizontal, and the right-hand slope makes a 30 degree angle, how should the masses compare if the objects are not to slide along the frictionless slopes? Express your answer using two significant...

Im trying to figure out how much power is needed to maintain a vehicles speed on a slope I found out that my car weighing in at about 2000 lbs needs 15hp to maintain 75 mph on a flat road with no wind. now I'm trying to figure out how to take that and calculate the power needed on a 10% grade...

Homework Statement http://www.xtremepapers.com/papers/CIE/Cambridge%20International%20A%20and%20AS%20Level/Mathematics%20%289709%29/9709_w10_qp_43.pdf number 3Homework Equations T=mg (no acceleration as equilibirum) sin rule?The Attempt at a Solution Not sure where to start..the marking scheme...

Homework Statement A ski-jumper comes off the bottom of the slope going horizontally at a speed of 20 ms. It starts off 3 m above a slope going downwards at an angle of 45 degrees. How far along the slope does it land. Homework Equations 1) y= Vsinθ - (.5)gt^2 2) x= Vcosθt 3) tanβ =...

Homework Statement Olympic skeleton sled racers can reach speeds of 40 m/s. Find the slope needed to reach that speed after a 30 second run, neglecting friction. Homework Equations F=ma The Attempt at a Solution I honestly burnt myself out from the previous question on my...

Determine the resultant moment at support points A and B due to the forces acting on the truss as shown. Fx = F(cos∅), Fy = F(sin∅), M = F(distance) Point A -88.98kN*m Point B ? I have no problem calculating most of the forces, but I'm lost when it comes to knowing what to...

Homework Statement For my laboratory exercise, I'm given the task of estimating the acceleration due to gravity near the Earth's surface by dropping metal balls from a specified height, and obtaining the time it takes to reach a surface. I did all that, and plotted the data on some...

In a lab we conducted in class we graphed angular acceleration vs torque, and found a positive linear correlation-easy enough. However I am getting rather stuck in simplifying the units of slope in terms of Kg, m, and s... I am fairly sure this will give me that angular acceleration equals...

Homework Statement A crate is placed on an inclined board. The coefficient of friction between the crate and the board is 0.26 , and the angle of the slope is 16 degrees. Calculate the acceleration of the crate down the incline. Homework Equations F=ma Ff=umgcos(theta) Forge of gravity...

I am familiar with most of how to do ε-δ proofs (even though our professor thought it unimportant to teach it, and our book kind of glosses over it (Larson, Fundamentals of Calculus, 9th), even quadratically, but for some reason I am just getting stuck on what is probably a simple problem...

Homework Statement A house is built on the top of a hill with a nearby 45° slope (Fig. 6-19). An engineering study indicates that the slope angle should be reduced because the top layers of soil along the slope might slip past the lower layers. If the static coefficient of friction between two...

Homework Statement A car of mass 900 kg accelerates up a slope. The velocity of the car at the bottom of the slope is 5 m/s. By the time the car reaches the top of the slope, its velocity is 15 m/s. The slope is 8m high from the ground and has a length (radius - angled length - not base) of...

Had a SAT level geometry question from a student and didn't know how to solve it. I redrew what the picture was and the question asked for the slope. I know PF better than that but don't just give me the answer bc I need to know how to solve.

Homework Statement Two blocks are connected by a string that goes over an ideal pulley. Block A has a mass of 3.00 kg and can slide over a rough plane inclined at 30 degress to the horizontal. The coefficient of kinetic friction between block A and the plane is 0.400. block B has a mass of 2.77...

Hello, When we use slope deflection method in frames we neglect axial deformation in order to get the same delta when the frame is sway,(that what i understood) So i have two questions 1. Neglecting axial deformation means ignoring axial force??Or what?? 2. How to neglect axial...

If there is an equation for a curve, its derivative will be the slope of the tangent. Also, the derivative of a function is the limit of its slope. What I understand from this is that (slope of tangent)=(limit of the same slope) But this is wrong (right?). Please explain the mistake here.

First I want to introduce a exercise I tried to solve, and then the doubt I have at the final resolution. "In a slope with θ angle to the horizontal plane, a homogen ball with radius R and mass m roll down without slipping. Calculate the friction force." Force equilibrium ma = mg sinθ - Ff...

A text says that if you calculate the linear regression of data points and you get the equation y=mx+b with an r2 value, the error in the slope is given by: δm/m=2(1-r) No explanation was given. Could someone please explain this formula? Thanks!

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.

Homework Statement Hello! I'm working on my final project for a programming class. Currently I can successfully detect 2D collision between a ball, and a line that can rotate in any direction. However when the ball hits the line I need to change it's velocity so it bounces in the right...

Homework Statement Show that the curve r = (t2,t3-t) Intersects itself at (1,0), and find the slopes of the tangents at this point. Homework Equations The Attempt at a Solution Okay I can show it intersects itself there, but what I am having trouble with is when they say slopes...