Slope Definition and 770 Threads

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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!

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...

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...

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...

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...

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...

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...

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...

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...

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?

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...

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...

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...

Homework Statement What can you conclude about average slope between two points and the slopes of the individual line segments on which the points lie? Homework Equations The Attempt at a Solution I thought that the average slope slope numerical answer is in between the slopes...

Homework Statement What can you conclude about average slope between two points and the slopes of the individual line segments on which the points lie? Homework Equations The Attempt at a Solution I thought that the average slope slope numerical answer is in between the slopes of...

What is the defining equation of the concept of slope? I thought it could be rise / run = m or Y2-Y1 / X2-X1 = m but then the next question asks to give the two common forms of the mathematical equation for slope involving X and Y? So would that not be those two equations?

Homework Statement A block with a mass of 4 kg slides from rest a distance of 2 m down a frictionless inclined plane where it encounters a spring. It compresses the spring a distance 1.4 m before stopping. The inclined plane makes an angle q = 35° with the horizontal. What is the value of...

Homework Statement Consider the following curve. y = 4 + 4x2 - 2x3. (a) Find the slope of the tangent to the curve at the point where x = a. Homework Equations m=y(a+h) - y(a)/h The Attempt at a Solution 1. m=y(a+h) - y(a)/h = -a^3-a^2+3ah+h^2-4 2. 6a^2 3. -6a^2+8a I know the derivative is...

Homework Statement Find an equation for the tangent to the curve at the given point. Then sketch the curve and tangent together Homework Equations y=3-x^2 (-1,2) The Attempt at a Solution slope = f(x + h) + f(x) / h f(-1 + h) + 2 / h 3- (-x + h)^2 + 2 / h 3 - 1 + 2h + H^2 + 2...

Homework Statement When question is asked: "How close is the slope (from an X-t graph) you calculated and the value actually displayed on the graph?"---does this mean you simply subtract your calculated velocity(slope of X-t graph) from the slope actually given on the graph? Homework...

Mechanical Energy question (Skier going down a slope...confusing!) First of all, I apologize ahead of time if my question seems to be really simple, but I have been working on it for at least two hours and still no progress (which is why this post made so late lol). My class has been working on...

Homework Statement Find the slope(s) of the tangent at x = 1 for 2y^2 - xy -x^2 = 0 Homework Equations The Attempt at a Solution Ive figured the derivative to be 2x+4/4y+x But I don't know how to make this equation work to find a y value so I can find the slope. I tried...

Homework Statement Mass of 22kg on a 45o to the horizontal. \mus = 0.78 \muk = 0.65 Determine the magnitude of the largest force that can be applied upward parallel to the ramp to have the box remain at rest. AND Determine the magnitude of the smallest force applied to the top of the box...

Homework Statement A 15 kg mass is sliding at 30 m/s when it encounters a slope (smooth=no friction) and descends 60 m. It encounters a horizontal rough stretch (friction = 80N in opp. direction). Calculate the velocity at x=0 (rough stretch starts here), x=50, x=100, x=200. Calculate...

Homework Statement Find the slope of the tangent to y=3x2 - 6x at x = 2 by first determining the derivative of the function from first principles Homework Equations f(x+h)-f(x) / h The Attempt at a Solution For the derivative I got -6x and the slope of the tangent is -12...

Homework Statement Function defined as: y = The integral from 0 to x2 of 1 / (1 - Sqrt(t) + t) There exists a point where the slope of the tangeant is = -2. Find the x coordinate at this point. Homework Equations Fundemental Theorem of Calculus The Attempt at a Solution...

Homework Statement Determine the points on the ellipse x^2 a 2y^2=1 where the tangent line has a slope of 1 Homework Equations I'm able to solve problems when given points and asked to find equations of the tangent lines. However, I'm struggling to do the inverse. The Attempt at a Solution...