Slope Definition and 787 Threads

  1. T

    How much work is done on the skier in the first 8.9 seconds of descent?

    ok guys, i got one that wants me to figure out how much work is done: A skier of a mass 79.1 kg, starting from rest, slides down a slope at an angle of 38 degrees with the horizontal. The coefficient of kinetic friction, u, is 0.09. What is the net work (the net gain in kinetic energy) done on...
  2. G

    Expressing a wavelength equation in linear form; k must be determined via slope

    Homework Statement How should the variables ( l and T) be plotted to obtain k from the slope of a linear graph? Identify (write out) the constants correstponding to the slope and intercept of the linear graph. Homework Equations l = lambda l = (k/f)*(T/u)^0.5 The Attempt at a...
  3. O

    Resistive force at constant velocity freewheeling down a slope

    Homework Statement Ok so the problem is this: A car of a mass 960kg is free-wheeling down an incline (15 degrees to the horizontal) at a constant speed of 9.0 m s^-1 - Deduce that the average resistive force acting on the car is 2.4*10^3N Homework Equations F=ma I suppose, but it hasn't...
  4. B

    What is the equilibrium force on a weight down a slope?

    Homework Statement I have attached a picture of the problem to this thread, I am having trouble with part c. I am getting an answer which is much larger than 24.5N The systems shown in the figures are in equilibrium. If the spring scales are calibrated in Newtons, what do they read? (assume...
  5. R

    If a skier jumps of the peak of a straight slope, when does it intersect?

    This is the only question in my physics section of projectiles I am having trouble with (This is ranked as the hardest question in this section of my text, please cut me some slack :P), because I have no idea how I would go about finding the intersection point of the skier with the slope. The...
  6. S

    Projection motion on a slope; f angles that will provide the greastest range

    Homework Statement A boy is standing on the peak of a hill (downhill), and throws a rock, at what angle from himself to the horizontal should he throw the rock in order for it to travel the greatest distance. Answer clues: 1. if, the angle from the slope to the horizontal = 60, then the...
  7. H

    Theoretical lift slope for thin airfoils

    hi, I am required to search the internet to find out what the theoretical value of the lift slope (dcl/dalpha) is for thin airfoils. Cl is the lift coefficient and alpha is the angle of attack of the airfoil. Does anyone have any ideas? Thanks for your time.
  8. W

    Rolling ball down a slope, how to find final velocity?

    Homework Statement A ball is rolled down a rough hill with coefficient of \mu<tan\theta. The hill has a height of h. The ball has moment of inertia of I, mass of m, and radius of r, which are all constant. What is the final velocity of the ball at the bottom of the hill? P.S. I made this...
  9. G

    Car Runs Out of Gas on 9.0 Slope - What Happens Next?

    A car traveling at 25 m/s runs out of gas while traveling up a 9.0 slope. How far will it coast before it starts to roll back down? How do you find the rate at witch gravity pulls the car down the slope? I don't understand how to find that
  10. A

    What Is the Slope Resistance of a Zener Diode?

    what is the mean of "slope resistance" of zener diode? Its parallel to diod or series?
  11. F

    Determining slope of the tangent line.

    Homework Statement I've never seen such a problem before: Find the two straight lines that are perpendicular to y=0.25x and tanget to the curve f(x)=1/xHomework Equations y=0.25x ; f(x)=1/x The Attempt at a Solution Using the power rule, I found the derivatives of: f(x)=-x^{-2} and y=0.25...
  12. U

    Graphing question: Reversal of x and y axis & effect on slope and y-intercept

    Homework Statement How does the slope and y-intercept change if you reverse the x and y-axis of a linear graph. Will the graph still be linear? The original y=mx+b format followed the physics equation: V^2 = 2a(d) + Vi^2 Therefore, when y was "V^2" while x was "d", the y-intercept was Vi^2...
  13. A

    Question about Newton's laws, solving for distance given slope and speed.

    1. A car coasts (engine off) up a 30 degree grade. If the speed of the car is 25 m/s at the bottom of the grade, what is the distance traveled before it comes to a rest? 2. mostly my class so far has dealt with equations calculating work and force by drawinf free body diagrams and using...
  14. U

    Help finding slope on position-time graph

    Im trying to make fill in a velocity-time graph from the a picture of a position-time graph. The position-time graph starts at 20m (no direction indicated) and slides dowb to 5m in 4 seconds. The slope would be -4m/s right? But the V-T graph I have to fill in has a maximum velocity of 6 m/s and...
  15. A

    Find Average Velocity of cart rolling down the slope.

    In the diagram below, a cart is released from rest at a distance x1 from the first of two photogates. The cart then rolls down the ramp through both photogates. The distance between the photogates is x2. For this problem, you may assume that the cart is frictionless and the acceleration of the...
  16. J

    What is the initial velocity of a projectile on a sloped surface?

    Homework Statement A projectile has to hit a target located on the hill slope. A line of the slope is described by equation Y=.4bX. A projectile is launched at an angle of 60° with respect to the horizantal. The initial distance between the projectile and the target is 60m. Find the...
  17. U

    What is the slope of the bisector of angle ABC?

    Homework Statement A, B, and C, are points (1,2), (0,0), and (-1,3) respectively. Homework Equations Find the slope of the bisector of angle ABC. The Attempt at a Solution I have done the following and don't know how it helpsL -found length of BA, BC, and AC -found the slope...
  18. M

    The Slope of the Curve, Derivatives

    1. Find the derivative f' of f(x)=x^2. Then find the slope of the curve y=f(x) at x=3 and write an equation for the tangent line. 2. I know that the derivative of x^2 is 2x and I'm guessing that y=x^2, therfore, (3)^2 = 9 which is the value of y. So now the point is (3,9). How do I find...
  19. C

    How Fast Does a 100 kg Block Ascend a 5 m Slope?

    Homework Statement The block of mass 500 kg is released from rest at the top of the slope It slides down a ramp of angle 20degrees It raises a block weight of 100kg The coefficient of kinetic friction between the 500 kg mass and the ramp is 0.2 Homework Equations Determine the...
  20. F

    Anchor a tube on earth and slope it all the way into space

    All right, I know I'll make an azz of myself with all the big brains around but I have to know. (My physics knowledge is at a high school level so please forgive my ignorance) I we were to anchor a tube on Earth and slope it all the way into space, would anything happen? Has there been...
  21. Z

    Does Ramp Steepness Affect Sphere's Descent Time?

    Homework Statement A Block slides down a frictionless ramp and a sphere rolls without sliding down a ramp of the same angle. the block and sphere have the same mass, start at rest from point A and descend through point B a) Consider the sphere rolling down the incline without sliding. If...
  22. S

    Can a nuke crush a volcano's slope?

    There was no "Geology section" so I guess here is where this thread belongs. So, can a nuclear explosion blast one of the slopes of a volcano and open a gap through which lava will flow? Or will it be insufficient. By "nuke" I mean a bomb of ~20 kilotons, something between "Little Boy" and...
  23. J

    Understanding the Physics of Elastic Collisions on a 45 Degree Slope

    How physics works when falling ELASTIC ball hits 45 degree slope? At point of colision what forces are working? As do I believe- in time delta t- one force as moment was straght with y axis(prependicular to ground) and Normal force( or how do u call it) witch is prependicular to 45 degree...
  24. H

    Exploring the Small Slope Approximation in Curvature and Higher Derivatives

    Hi all, if you have a small slope approcimation, what can you say about the curvature? and higher derivatives of the slope?
  25. C

    Sled on a Slope: Calculating Net Force and Maximum Speed

    Homework Statement A sled is going down a slope of 40m, which has an angle of 30 degrees with the horizontal. The total mass of the sled is 40kg. There is a constant frictional force of 40 N holding back the movement of the sled. The sled has an initial velocity of 3m.s-1. What is the net force...
  26. V

    Mechanics M1 question. Motion of a block on a slope

    Homework Statement A block of mass 12kg slides down a slope at 5deg to the horizontal. The speed of the block at the top of the slop is 1.5ms^-1 There is a constant resistance to motion of 15N iii) Calculate the acceleration of the block in the direction of its motion iv) For how much...
  27. C

    What Steepest Slope Can a Train Climb Without Slipping on Frosty Rails?

    Homework Statement The coefficient of friction between the trains wheel's and the rail on a frosty day is 0.1, What is the steepest slope (expressed in the form ''1 in n'') that the train can climb without slipping. Homework Equations Ff = μ(Fn) The Attempt at a Solution I...
  28. T

    Car Coasting Up a Slope: Determining Distance Traveled Before Rolling Back Down

    Homework Statement A car traveling at 31.48 m/s runs out of gas while traveling up a 35° slope. How far up the hill will it coast before starting to roll back down? Homework Equations Ax=acos(35) Ay=asin(35) deltaV/2a=distance The Attempt at a Solution I made the final...
  29. N

    Smoothing algorithm for times series and slope measurement

    Hi, I'm doing an experiment that gathers one data point approximately each second. I have plotted all the datapoints on a graph. The graph has many tops and bottoms. Now due to the fact that there are so many data points and that I can visualle tell that there are several overal trends: one...
  30. U

    Work, energy and power on a slope.

    Homework Statement The diagram shows a particle A of mass m which can move on the rough surface of a plane inclined at an angle theta to horizontal ground, where theta = arcsin 0.6. A second particle B of mass 2m hangs freely attached to a light inextensible string which passes over a smooth...
  31. S

    What is the Maximum Deflection of a Beam with a Point Load and Supports?

    Homework Statement A beam of I cross section rests on supports 8.00m apart, and carries a load of 70kN at a distance of 3.00m from one end. If the second moment of area is 2.8 * 104 cm4 and E = 210 kN/mm2, find the deflection at the load, and the position and magnitude of the maximum...
  32. W

    Hollow and solid cylinder, going down a slope

    Homework Statement Well, I thought of the question myself: There are two identical straight slopes, 300 to the horizontal and 10m long at their hypotenuse. Each of them has one cylinder of identical shape of r=1m and mass (1kg) respectively. However, one is solid whereas the other is hollow...
  33. E

    Acceleration of a Rotational Sphere on an Inclined Plane

    Ok, I am trying to understand this problem on my practice exam and I can't figure out what I am doing wrong. Homework Statement A solid sphere of mass M and radius R is released from rest on an inclined plane with an angle of θ. The coefficient of static friction for the sphere on the plane...
  34. N

    Ball Rolling Down a Slope: How Does Output Angle Affect Distance Traveled?

    Homework Statement If you put a ball somewhere on a slope and it rolls down, how far will it go when the ramp is at some hight over the ground and the output angle is something.Do not take in account friction or air resistance. Homework Equations The Attempt at a Solution When u put the ball...
  35. A

    Spring and Mass Oscillating on a Slope

    Homework Statement An elastic spring has modulus of elasticity \lambda and natural length l_{0}. The spring is on the slope of a hill with an angle \alpha to the horizontal such that one end of the spring is fixed at the foot of the hill and the other end can move freely along the slope. A...
  36. P

    Differential Equation and Slope Field Questions.

    Hey, 1. Homework Statement . I was reading through the Differential Equation portion of my textbook and didn't quite understand the following paragraph. The above paragraph seemed a little confusing since, conventionally, {y} = {f(x)} Where, {{\frac...
  37. Y

    What is the slope of the line tangent to the polar curve

    Homework Statement What is the slope of the line tangent to the polar curve r=2theta at the point theta= pie/2 Homework Equations r = xcos theta r= ysin theta The Attempt at a Solution I kept getting zero but the answer is -2/pie. Can anyone give me a hint? :) Thanks!
  38. W

    AP Physics Help (Ski-er on Slope)

    1. http://sites.google.com/site/startngovr/ 2. \SigmaF = \Sigmam*a F_{k}=\mu*N X_{f} = 1/2 at^{2} V_{f} = at For problem 1 we think the answers are as followed: \mu_{s} does not = 0.2 a = 5.32m/s^{2} For problem 2 we have no idea what to do. We have too many...
  39. X

    What is the tension in the coupling between two trucks on an inclined slope?

    Homework Statement A truck of mass 5kg is pulling a smaller truck of mass 2kg up a slope inclined at 10degrees to the horizontal. The trucks are joined together by a light, rigid coupling. The 5kg truck has a resistance of 8N and the smaller truck has a resistance of 6N. The string pulling the...
  40. V

    Will the fire truck stop before running out of water?

    Homework Statement A fire department's tanker truck has a total mass of 21000kg, including 15000kg of water. Its brakes fail at the top of a long 3 degree slope and it begins to roll downward, starting from rest. In an attempt to stop the truck, firefighters direct a stream of water parallel...
  41. E

    Smallest Possible Slope for Tangent Line to y=2x^3-6x^2+10x+3 on Interval [-2,2]

    Homework Statement What is the smallest possible slope for a tangent line to y=2x^3-6x^2+10x+3 on the interval [-2,2]? Homework Equations implicit differentation The Attempt at a Solution Another question that should be easy, yet that I am finding frustrating. To me what it...
  42. M

    How Long Does It Take for Two Different Masses to Slide Down a Sloped Ramp?

    Homework Statement Two packages at UPS start sliding down the 20° ramp shown in Figure P8.25. Package A has a mass of 5.0 kg and a *coefficient of friction of 0.20. Package B has a mass of 10 kg and a coefficient of friction of 0.15. How long does it take package A to reach the bottom? I...
  43. M

    How Is Tension Calculated on an Inclined Slope with Friction?

    Homework Statement Figure P8.36 shows a block of mass m resting on a 20° slope. The block has coefficients of friction µs = 0.83 and µk = 0.47 with the surface. It is connected via a massless string over a massless, frictionless pulley to a hanging block of mass m2 = 2.0 kg...
  44. B

    Calculating Velocity Down a Slope for Railway Wagon Impact

    Hi Question is- In the assesment of a buffers performance railway wagon of mass 6 tonne is allowed to roll freely down an incline of 1 in 20 Sine for a distance of 50M into a horizontal yard. At the end of yard is brought to rest by a pair of parrallel springs. The stiffness in each...
  45. S

    Slope of line based on one point and area of triangle

    Homework Statement The problem is shown as a picture, but here it is in word form: A straight line with a negative slope intersects the point 2,1. The area under this line in quadrant one of the cartesian grid is 4. What is the slope of this line? Homework Equations Area of a triangle...
  46. N

    MATLAB Plot Slope Fields in Matlab | Mathematica vs. Matlab

    Does anyone know how to plot slope fields with Matlab? The only things I can find require creating unit vectors and plotting them along level curves. Is their a more direct way? Also, what program do you think is better for straight forward math operation like this, Mathematica or Matlab?
  47. L

    Slope of Tangent Line for g(x)=x^2-4 at (1,-3) | Calculus Homework Solution

    Homework Statement find the slope of the tangent line whose g(x)=x^2-4 at point (1,-3) Homework Equations lim f(x+Δχ) -F(c)/ (Δχ) The Attempt at a Solution g(x)= x^2-4 G(1+Δχ)= (1+Δχ)^2-4 ==> Δχ^2+2Δχ-3 lim (Δχ^2+2Δχ-3) - (-3)/(Δχ) = 0 but in the book the answer is 2 so what...
  48. S

    How to Find Acceleration and Velocity in a Block and Wedge System

    Homework Statement http://img187.imageshack.us/img187/9476/dib.th.png mA = 22kg mA = 10kg No friction At t = 0, at rest a.- Find aB b.- Find vB/A at t = 0.5s Homework Equations The Attempt at a Solution http://img504.imageshack.us/img504/3786/dib3.th.png...
  49. I

    Solving Friction up a Slope: Coefficient of Friction

    Homework Statement Lindsey's car is driving up a hill when her book bag, which she forgot on the roof, falls off. The bag has a mass of 19kg and slides up the hill 60 meters from its initial speed of 20m/s to rest. If the hill climbs at an angle of 30 degrees then what was the coefficient of...
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