Slope Definition and 770 Threads

  1. JJBladester

    What is the slope of a force vs. distance graph?

    Homework Statement What is represented by the slope of a Force vs. Distance graph? Also, if I had a Force vs. Distance graph and knew my initial velocity was some value, how would I go about finding the velocity at any distance along the way? Homework Equations F=ma W=Fd v=d/t...
  2. S

    How can I calculate the error in a slope with variance in x and y values?

    I am looking for methods to calculate the error in a slope. the caveat is that my values themselves are averages with a STDEV. E.g. x 1+-1% 2+-1% 3+-1% y 0.14+-0.01 0.27+-0.02 0.42+-0.02 (using...
  3. D

    Inclined slope with acceleration

    in the following question, a box with a mass of m is tied to a pole at the top of a slope with an incline of (alpha), the whole slope accelerated at "a", find the tension "T" in the rope. http://picasaweb.google.com/devanlevin/DropBox?authkey=sbH95pBl_D8#5273613370813875458 what i did...
  4. D

    How Does Friction Impact Acceleration on an Inclined Plane?

    as in the diagram below, mass m1 is placed above mass m2 on a sloped incline with an angle of b degrees. the frictional coefficient between the two masses is C1 and the coeficient between mass 2 and the slope is C2. find the acceleration of the masses...
  5. M

    What Hardware Components Are Needed for a Dual Slope ADC Project?

    I want to implement a dual slope ADC practically as my project of Digital logic design subject. what are the hardware components I need to implement that ADC? thanks
  6. M

    Finding the velocity of an object being pushed up an angular slope

    [b]1. A box mass m=1 kg is pushed up an incline of an angle theta=30 degrees that has a coefficient of kinetic friction u_k=.5. Find the velocity of the object after it pushed for d=2m by a force of magnitude F=11N directed upward alone the incline. W_g=m*g*d*cos(90+theta) W_constant...
  7. C

    Rotational Kinematics - Cylinder down a slope.

    Homework Statement A certain non-uniform but cylindrically symmetric cylinder has mass 9 kg, radius 1.2 m, and moment of inertia about the center of mass 7.6 kg m2. It rolls without slipping down a rough 20° incline. What is the acceleration of the cylinder's center-of-mass...
  8. B

    How Does a Mass and Spring System Behave on an Inclined Plane?

    Homework Statement A spring (80 N/m) has an equilibrium length of 1.00 m. The spring is compressed to a length of 0.50 m and a mass of 2.2 kg is placed at its free end on a frictionless slope which makes an angle of 41 degrees with respect to the horizontal. The spring is then released...
  9. J

    Finding acceleration on a slope

    Homework Statement A child sits on a sled that rests on a snow-covered hill making an angle of 30 degree with the horizontal. The mass of the child and sled is 50 kg. if the coefficient of friction is 0.15, what is the acceleation of the sled down the hill? Homework Equations I'm trying...
  10. D

    What Forces Are Needed to Move a Sled Up an Inclined Plane?

    Friction up a slope (HELP!) 1. A sled weighing 80N rests ona plane inclines at angle 20 degrees to the horizontal. Between the sled and the plane, the coefficient of static friction is .25 and of kinetic friction is .15. A.) what is the least magnitude of the force F parrallel to the flane...
  11. T

    The force of friction moving up a slope

    A grocery cart is being pushed with a force of 450 N at an angle of 30.0 degrees to the horizontal. If the mass of the groceries is 42 Kg, (a) Calaculate the force of friction if the coefficient is 0.60. Alright guys I have been doing this problem for around two hours. My physics teacher isn't...
  12. B

    Objects on a Slope - Pretty Easy

    Objects on a Slope -- Pretty Easy This is a modified version of a physics problem for my HW. We were to find the mass an item had to be to "go down" a slope and go up. However, the slopes were not even so a larger mass one side did not necessarily mean the "heavier" side slid down. So I made...
  13. E

    Unit for the slope of a circular motion relationship

    Homework Statement so given the formula T=(√((4π^2 m)/Mg)) √l+0 which is y=mx+b m being (√((4π^2 m)/Mg)) and x being √l what is the unit of the slope?? The Attempt at a Solution So the kgs cross out in the mass and we are just left with the units of g which is m/s^2...
  14. F

    Finding Accerleration on a slope with friction

    **Sorry the latex didn't really work for me.** Homework Statement In the figure below, m1 = 3.6 kg, m2 = 5.1 kg, and the coefficient of kinetic friction between the inclined plane and the 3.6-kg block is μk = 0.25. Find the magnitude of the acceleration of the masses. m1 = 3.6 kg m2 =...
  15. W

    How can I calculate an error for a slope in my lab report using Excel?

    I am doing a lab report, but this isn't a homework question per se... I just wanted to know what the best way of calculating an error for a slope is. I am doing a Continuous Wave NMR lab and took some data with estimated uncertainties, and need to know how to propagate them into an error...
  16. J

    Understanding Zero Slope in Distance & Velocity Graphs

    Help! please what motion is occurring when the slope of a distance vs. time graph is zero Homework Statement slope of a distance vs. time graps is zero and constant and changeing slope of a velocity vs. time graph is zero and constant what types of distances are there? Homework Equations...
  17. S

    Pushing Crate up Frictionless Slope Find Work

    Homework Statement A man pushes a create which weighs 75 N upward along a frictionless slope that makes an angle of 30° with the horizontal. The force he exerts is parallel to the slope. If the speed of the crate increases at a rate of 0.5m/s^2, then the work done by the man while moving the...
  18. M

    How do I find the slope of the tangent line using Definition 1 and Equation 2?

    Homework Statement Find the slope of the tangent line to the curve y=x3 at point (-1,-1) (i) Using Definition 1 m=limx-->a\frac{f(x)-f(a)}{x-a} (i) Using Equation 2 m=limh-->0\frac{f(a+h)-f(a)}{h} Homework Equations The Attempt at a Solution For the first one, I got as far...
  19. V

    Projectile Fired Against A Slope

    Homework Statement A projectile is launched at an angle 45 degrees above the horizon with a velocity of 30 m/s. It is launched at the base of a constant slope, which has an angle of 30 degrees. a- How much time did it take for the projectile to hit the slope? b- Where did the projectile...
  20. F

    Calculting the slope of the tangent to find Instantaneous velocity

    EDIT: Ugh... I meant "calculating", of course. This is an assignment that was due on the 16th. It's already been handed in, I just need some help with a question that I obviously was not able to answer in due time. I am coming back from a long, long hiatus from my academic pursuits and so some...
  21. U

    How Do I Simplify a Fraction Within a Fraction?

    Find the slope of the functions graph at the given point. F(x) = x / x-2 point (3,3) f(x+h) - f(x) / h is what we have to use to find the answer. so I've plugged it all in and have came to this.. ((3+h) / (3+h-2)) - 3 / h I need some help with my simplification...
  22. R

    Truck Parked on 15° Slope: A 4000 Perspective

    A 4000 truck is parked on a 15 slope.
  23. K

    Find the slope of the tangent to the curve at the point where x = a

    Homework Statement http://img214.imageshack.us/img214/4673/mathproblemnw5.png Homework Equations lim x->a\frac{f(a+h)-f(a)}{h} The Attempt at a Solution Ive tried so many times to figure this out. I first substituted the equation into the formula above and multiplied by the...
  24. D

    Point of slope at certain distance

    Hey Everyone, Another question for you. Is there a way to find the point on a slope at a certain distance? For example, suppose I had a slope that was previously calculated from point A to point B. I want to find at what point Y is at distance X. Does that make sense?
  25. M

    Tossing an item up a slope, calculating it's length from start to landing

    Homework Statement Right so I have the following scenario: An archer shoots an arrow upward a slope of angle \alpha, the angle between the arrows trajectory and the horizontal plane is denoted \theta The arrows speed in the direction in which it is fired is denoted V_0 as shown in this...
  26. G

    Degrees and how it relates to slope

    Sorry if this question is too simple and shouldn't be posted here. How does slope relate to degree angles? For example , a degree of 1 means a slope of 1/57.29, and a degree of 2 means a slope of 1/28.9916, and a degree of 3 means a slope of 19.08109. and the slope just keeps getting...
  27. I

    Find all points on graph of f(x)=2sinx+sin^2x where slope = 0

    Homework Statement Find all points on the graph of the function f(x)=2sinx+sin^2x at which the tangent line is horizontal. Homework Equations - Power rule - Chain rule - Product rule? The Attempt at a Solution So I want all points at which the tangent line to this...
  28. S

    Physics: Efficiency of toy car going upwards on a slope

    the toy car gains energy by pushin down the "head" of the "driver" and is powered by a spring that powers the wheels. at different heights, it has different spring constant. I mean the slope's angles are changed at different periods of the experiment. I am unable to work out the spring constant...
  29. G

    Specific slope for directional derivative?

    Is there a direction where the rate of change is 18, at the point (-1,2) on the function f(x,y) = (x^2)(y^3)+xy? So I found the gradient of this function, picked a random direction vector u = ( a / (a^2+b^2)^(1/2) , b / (a^2+b^2)^(1/2) ) and took the dot product, and set it to 18... however...
  30. F

    Implicit differentiation to find the slope

    Homework Statement (x - h)^2 + (y - k)^2 = r^2 where h,k and r are constants The Attempt at a Solution \begin{array}{l} \frac{d}{{dx}}\left[ {(x - h)^2 + (y - k)^2 } \right] = \frac{d}{{dx}}r^2 \\ 2(x - h) + 2\frac{{dy}}{{dx}}(y - k) = 0 \\ \Rightarrow \frac{{dy}}{{dx}}...
  31. L

    Determine acceleration on slope using coefficient of static friction

    THE PROBLEM: A sports car is accelerating up a hill that rises 21.2 ° above the horizontal. The coefficient of static friction between the wheels and the road is μs = 0.880. It is the static frictional force that propels the car forward. (a) What is the magnitude of the maximum acceleration...
  32. B

    Braking calculations while going down a slope pullling a load

    I'm trying to find out how to see if my brakes will lock up or my tires will continue to roll through the following scenario. I have a machine that weighs 42,000 lbs. I'm pulling a 110,00 lbs trailer with load (no brakes on the trailer). This is a rubber tired machine going down a 8 degree...
  33. S

    Who Will Reach the Bottom First: The Heavier or Lighter Car?

    If two cars were at the top of a uniform slope, and the cars are identical in every way other than their mass, which one would reach the bottom first? and why? This is an argument that lasted all the way from inverness to dundee, and still hasn't been settled, even though there are about 100...
  34. M

    Equation of a tangent, with a slope of 'e'.

    Help my guys. I'm so hopelessly lost on this question... Problem: Determine the equation of the tangent to the graph of y=ln x that has slope e. The answer in the book is y=ex-2. Please help. :smile:
  35. D

    Smooth slope - A level question.

    I have a question that i am struggling to come to terms with. I know how to get the answer but i am not 100% sure why what i am doing works. The question : A smooth plane is inclined at X degrees to the horizontal. A block of mass 5KG is held at rest on the plane by a horizontal force...
  36. E

    Finding the Perpendicular Tangent on a Parabola

    Find the slope of the tangent to the parabola y=-3x^2 + 4x - 7 when x=a. I know how to get the limit using the tangent so i end up with a slope in terms of a (you can also get it using the derivative) but now the next part states: At what point on the parabola is the tangent perpendicular to...
  37. M

    Adiabatic Slope: Ideal Gas Equation

    Homework Statement The slope of an adiabatic curve will be equal to r times the slope of an isothermal curve only when we use the ideal gas equation Homework Equations The Attempt at a Solution Adibatic process, P(V)^g = constant Differentiating w.r.t V...
  38. C

    General Forces on Slope Problem

    a) Find a general expression for mass m2 so that m1 will move at a constant speed up the ramp. Your answer will be based on (mu) and (theta). b) Give a numerical value for (mu) and (theta) so that m2/m1 > 1 c) Give a numerical value for (mu) and (theta) so that m2/m1 < 1 Fg2 = m2g Fg1x...
  39. N

    Slope of a tangent = limit of the function?

    Slope of a tangent = limit of the function? Hi. I want to ask . Can it be true that The slope of a tangent line is a limit of a function. or The slope of a tangent line can be considered as a limit of a function? ? Is it the same I mean the slope of a tangent line and a...
  40. L

    Relationship between acceleration and slope

    Homework Statement Well, I did an experiment to find a quantitative relationship between an objects acceleration and the slope of the surface it is on. This involves no other propulsion other than gravity itself. It is a very simple setup: A track with one end lifted to various heights, a...
  41. C

    Find Coefficient of Friction on Slope w/ 3kg Mass Moving at 17 m/s

    A 3 kg mass is moving along a frictioless surface at 17 m/s. It then reaches a slope and starts up it. The slope has an angle of 10º and a small amount of friction. What is the coefficient of friction on the slope if the block slides 4.5 m up the slope before stopping? m=3 kg v(i)=17 m/s...
  42. R

    Unraveling the Physics of Strings: Tension, Velocity & Slope

    Just a couple of Questions: for the wave function y(x,t) = A / (x-vt)^2+b ------> What is the importance of 'b' and what is its meaning? A Uniform Circular Hoop of string of mass m and radius r is rotating in the absence of gravity. Its tangential speed is Vo. Its length is...
  43. S

    Calculating Work to Pull a Skier Up a Slope at Constant Speed

    Homework Statement A skier of mass 69.5 kg is pulled up a slope by a motor-driven cable. a) How much work is required to pull him a distance of 59.1 m up a 30.1° slope (assumed frictionless) at a constant speed of 2.07 m/s? The Attempt at a Solution I started out this problem by finding...
  44. 1

    Interpreting the values of slope and intercept coefficients using the CLRM

    Hello there, I'm given the following population regression equation: PRICE(i) = β(0) + β(1)SQFT(i) + u(i) where the things in brackets are subscripts and SQFT represents the square footage. A sample of houses is then given with their cooresponding prices and square footage. I have solved...
  45. R

    What is the acceleration of a snowboarder when turning on a slope?

    Say a 70kg snowboarder is cruising straight down a hill at 20 mi/h. The slope of the hill is due south and at a 30 degree angle. The snowboarder sees a big tree ahead and turns his board 35 degrees to the right. What is the snowboarders acceleration while going straight? What is the...
  46. K

    F=maF=(59)(V-0)/3Solving Ski Slope Physics Problems

    Homework Statement A skier of mass 59.0kg starts from rest at the top of a ski slope of height 70.0m . Homework Equations The Attempt at a Solution If frictional forces do −1.08×10^4J of work on her as she descends, how fast is she going at the bottom of the slope...
  47. R

    Forces to push a trolley up a slope

    I'm a Health and Safety advisor having a blonde moment. Trying to find the equation to use, think it's something to do with F=ma any help please. A 4 wheeled trolley will be pushed up a slope of 40 degrees and the maximum amount of force that can be applied is 15kg to get it moving and...
  48. R

    Time for Skier to Stop in 8.7° Slope: No Friction

    A skier with mass 65.9 kg is going 14.9 m/s on a flat surface. She hits a slope with angle 8.7 degrees from the horizontal. How long does it take for her to stop? Neglect friction. I've tried breaking up her velocity into components. Also, found the force on her once she is on the slope with...
  49. L

    How Does Kinetic Friction Impact Acceleration on an Inclined Plane?

    The coefficient of kinetic friction between the block and the incline is 0.29. What is the magnitude of the acceleration of the suspended block as it falls? Disregard any pulley mass or friction. That's the question. I'll try to describe the accompanying diagram.: Basically there's a ramp...
  50. A

    What Are the Steps to Solve These Circle and Slope Math Problems?

    1.) How do you answer this? Find the equation of the line that has a slope undefined and passes through the points (3, -4). I got y=-4 ------------------------ 2.) Write the standard and general equations of the circle with radius 4 and center (1,2). I got STANDARD: (x-1)^2 +...
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