Vertical Definition and 1000 Threads

Homework Statement Write a function for d(x), the vertical distance between the two curves, and find the minimum value of d(x). Homework Equations The equation for parabola one is y = x^2 + 6, for parabola two, y = -(x-2)^2 + 6 The Attempt at a Solution The answer in the back...

f(x)=\frac{1}{1+ln|x|}\\ x\neq \frac{1}{e}\\ x\neq \frac{-1}{e}\\ lim_{x->\frac{1}{e}^+}\frac{1}{1+ln|x|}=\\ lim_{x->\frac{1}{e}^-}\frac{1}{1+ln|x|}=\\ i can't immagine ithe values in this function ??

the horisontal assimptote of this function.. x>0 f(x)=|x-1|+\frac{1}{x}\\ for m i get: m=lim |x-1| +1/x=infinity x->infinity so there is no horisontal assimptote here?

Homework Statement A rock is thrown at an angle of 17 degrees above the horizontal at 28.5 m/s, from the ground. a)How high will the rock rise above the ground? b)What is the horizontal speed of the rock at the top of its flight? c) How long will it take the rock to reach a vertical...

Homework Statement A uniform rope of mass m and length L hangs vertically from the ceiling. The distance along the rope, as measured from the bottom of the rope is y (i.e., the bottom of the rope is y = 0 and the top is y = L). Homework Equations v = sqrt(T/u) ? The Attempt at a Solution...

A person lifts a 3.7 kg cement block a vertical distance of 1.18 m and then carries the block horizontally a distance of 7.80 m. (a) How much work is done by the person in the process? J (b) How much work is done by gravity in the process? J w=fd?

If, only the initial velocity in x direction is given and the total distance "S" is given for a non horizontal projectile, how do we find the y (vertical) component of initial velocity? No angle given?

Hi all, I have attached a geometry. For this geometry I would like to determine vertical heights of two arcs(H2 and H3). a) QR is a angle line with known length and angle b) ST is an arc with known radius. The arc center lies on the whole geometry vertical centerline c) RS is an arc...

A ball is thrown downward from the top of a building that is 38.8 m tall. The ball passes the top of a window 13.0 m above the ground 2.00 s after being thrown. What is the speed of the ball as it passes the top of the window?

The curve defined by x3 +xy - y2 = 10 has a vertical tangent line when x = ? To find when the tangent line is vertical, could I find when the slope is undefined for the original function? The way I previously tried this problem was by taking the first derivative and then finding when x = 0...

I want to convert horizontal type of oscillations to vertical oscillations. is there any existing mechanism for it? if not, what should i do.

Homework Statement You've taken your neighbor's young child to the carnival to ride the rides. She wants to ride The Rocket. Eight rocket shaped cars hang by chains from the outside edge of a large steel disk. A vertical axle through the center of the ride turns the disk, causing the cars to...

Homework Statement A 2 kg block is dropped from a height of .45 m above an uncompressed spring. The springs k value is 200 N/m, and has negligible mass. The block strikes the end of the spring and sticks to it. a) determine the speed of the block at the instant it hits the end of the spring...

Homework Statement A crate with a weight of 50N rests on a horizontal surface. A person pulls horizontally on it with a force of 10N and it does not move. To start it moving a second person pulls vertically upwards on the crate. If the coefficient of static friction is 0.4, what is the...

Homework Statement A 0.4 kg object rotates in a vertical circle at the end of a 0.5 m string. What is the tension of the string at the bottom if the angular velocity there is 8.0 rad/s? Homework Equations centripetal acceleration = R*w^2 weight = mg R = radius of circle w = angular...

Homework Statement A 0,824kg mass attached to a vertical spring of a force constant 162N/m oscillates with a maximum speed of 0,372 m/s. Calculate the maximum acceleration of the mass. The Attempt at a Solution amax=vmax*\omega \omega=\sqrt{\frac{k}{m}} Is that correct?

Seen as i had difficulty understanding this little topic and with my AS level exam soon, i figured i should find somewhere to ask without having to wait while class, so here goes... I had some questions to do (but this isn't about homework!) i couldn't seem to be able to get the right answer...

Homework Statement An object of unknown mass M is hung from a vertical spring of unknown spring constant k, and the object is observed to be at rest when the spring has extended by 14cm. The object is then given a slight push and executes SHM. Determine the period of this oscillation...

Homework Statement A force of 17.0 N is applied to a 0.34 kg soccer ball for 0.090s, causing it to move off at 28 degrees above the horizontal. Determine the vertical velocity of the soccer ball at the end of the 0.090 second time interval. Homework Equations y= vyt + 1/2gt2 vyf= vy +...

does anybody know if the action of a real mas-spring system suspended vertically, support or refute the law of conversation of energy

Homework Statement 3.0-kg block slides on a frictionless 37° incline plane. A vertical force of 15 N is applied to the block. The acceleration of the block is? Homework Equations m*g*sin() The Attempt at a Solution 3*9.8*sin(37) - 15 = 2.7

Homework Statement A uniform rod of mass 1.6 kg is 6 m long. The rod is pivoted about a horizontal, frictionless pin at the end of a thin extension (of negligible mass) a distance of 6 m from the center of mass of the rod. Initially the rod makes an angle of 58 degrees with the horizontal...

Vertical circle--direction of a force? Vertical circle--direction of a force? An amusement park ride consists of a car moving in a vertical circle on the end of a rigid boom of negligible mass. The combined weight of the car and riders is 4.5 kN, and the circle's radius is 12 m. (a) At the...

Homework Statement Picture: http://img151.imageshack.us/img151/9393/physicszn8.jpg A ball on the end of a string is cleverly revolved at a uniform rate in a vertical circle of radius 60.0 cm, as shown in Fig. 5-33. Its speed is 4.00 m/s and its mass is 0.300 kg. (a) Calculate the...

Homework Statement A block of mass 0.640 kg is pushed against a horizontal spring of negligible mass until the spring is compressed a distance x. The force constant of the spring is 450 N/m. When it is released, the block travels along a frictionless, horizontal surface to point B, the bottom...

Sorry to be a bother at this time around. I have a question though about a weird looking function : e^(6-2x) + 5. (The 5 is outside of the parenthesis, so it is a coefficient, not an exponent). I am interested in seeing how to use limits to construct its graph. In particular, I want to find out...

A skier is moving at 85 km/hr straight down a tall mountain having a slope of 60 degrees. At what rate is the magnitude of the vertical component of his trip decreasing? I just don't understand exactly how to find it. The wording doesn't make sense to me and I don't know where to start.

Homework Statement I am doing a lab in which we are to show that the energy in a spring mass system is constant throughout the oscillations. Homework Equations I set y initial = 0 to be the point where the spring was in equilibrium when the mass was attached to it. At any given point...

What symbol is a small vertical bar with an arrow? I know a plain arrow is "determines". Is there a good site that lists the vocabulary of mathematicians?

Homework Statement A solid uniform disk unrolls from a string which is wrapped around it. If tension and weight are the only important forces, find the vertical acceleration of the disk in terms of gravity. Homework Equations The Attempt at a Solution mg - T = ma a = mg - T...

question about "vertical" and "horizaontal" Homework Statement the terms "vertical" and "horizontal" are frequently used in physics. give operational definitions for these two terms. an operational definition defines a term by how it is measured or determined. your definition should apply...

I have two problems: Homework Statement I am given the positions and velocities of a mass on a spring at two times, which is four equations. I need to find the position and velocity of the mass at t=1s. Homework Equations 0.35=-A\omegasin\phi 0.1=Acos\phi...

http://img158.imageshack.us/img158/6946/blockspringcy2.gif A block of mass 10 kg hangs on a spring. When a second block with an identical mass of 10 kg is tied to the first, the spring stretches an additional ho = 1.3 m. a) What is the value of the spring constant k? Now the string is...

How do you calculate vertical velocity when you're not given an angle? For example, A player kicks a football at the start of the game. After a 6.6 second flight, the ball touches the ground 59 m from the kicking tee. If air resistance is disregarded, find. a. The maximum height...

Homework Statement A bowling ball weighing 71.2 N is attached to the ceiling by a 3.80m rope. The ball is pulled to one side and released. It then swings back and forth like a pendulum. As the rope swings through its lowest point, its speed is 4.20 m/s. At that instant, find a) the...

Homework Statement GIVEN: mass = .34 kg radius =.5 m If a solid rubber ball attached to the end of a light string is swung at a constant speed in a vertical circle, what is the tension a quarter of the way around the circle (i.e. when the string attached to the...

Homework Statement A projectile is fired at an angle of 60 degrees above the horizontal with an initial speed of 300 m/s. Calculate A) the horizontal distance traveled and B) the vertical height attained in the first 6 s. Homework Equations The Attempt at a Solution I did...

Homework Statement You swing a 6.5 kg bucket of water in a vertical circle of radius 1.2 m. (a) What speed must the bucket have if it is to complete the circle without spilling any water? m=6.5 r=1.2 Homework Equations maybe f=ma f=m(v^2/r) The Attempt at a Solution What I did...

I want to understand this: In the case of a dropped object, the horizontal component of the velocity with which the object hits the ground is not the same thing as the horizontal velocity itself, am i right? The horizontal component of the velocity when the object hits the ground means the...

Homework Statement A girl throws a ball vertically upwards with speed 8ms^-1 from a window which is 6m above horizontal ground. (a) Find the greatest height above the ground reached by the ball. (COMPLETE) (b) Find the distance below the window of the point where the balls meet...

Homework Statement Imagine that you are prospecting for rare metals on a sperical asteroid composed mostly of iron (which density is 7800 kg/m^3). The radius of the asteroid is about 4.5 km. You've left your spaceship in a circular orbit 400 meters above the asteroid's surface and gone down to...

Homework Statement On takeoff, the combined action of the air around the engines and wings of an airplane exerts a 7049N force on the plane directed upward at an angle of 58.7 above the horizontal. The plane rises with a constant velocity in the vertical direction while continuing to...

Homework Statement A research balloon of total mass 410 kg is descending vertically with a downward acceleration of 1.0 m/s2. How much ballast must be thrown from the car to give the balloon an upward acceleration equal to 1.6 m/s2, presuming that the upward lift of the balloon does not...

Hey guys, I am stuck on this question. I was wondering if anyone can help me. I am going to attach a picture. Here is the question. The magnitude of the vertical force F is 82.5 N. If you resolve it into components Fab and Fac. What are the magnitudes of these components? (unit...

vertical displacement!? help anyone. =] i have no idea wat to do!?? In a scene in an action movie, a stunt man jumps from the top of one building to the top of another building 3.9 m away. After a running start, he leaps at an angle of 13◦ with respect to the flat roof while traveling at...

Homework Statement A kangaroo jumps to a vertical height of 2.55 m. How long was it in the air before returning to Earth? Homework Equations v = v(initial) + a*t x = x(initial) + v(initial)*t + 1/2*a*t^2 v^2 = v(initial)^2 + 2*a*(x - x(initial)) The Attempt at a Solution I...

Homework Statement A ball is thrown vertically from the edge of a cliff. It rises 10 m above the cliff, then falls 50 m below the cliff. Find the inital velocity and determine the time the ball was in the air. Homework Equations (v final )^2 - (v initial)^2 = 2a (delta y) The...

I have to calculate the vertical reactions at point A and C. I know that the sum of all vertical forces is equal to zero but i can't solve the equation since there's two variables. http://users.on.net/~rohanlal/Q3.jpg Bv=50 Cv=55 Dv=45 w=80

Hello experts! I'm from one of the university in Asia and I'm planning to create a small prototype of Vertical Wind Tunnel for education purpose for my university. I don't know from where I should start the project. This small prototype will not bigger than 10-15 inches for the diameter and I'm...

An aircraft flying in a straight line at constant height h and speed U drops a package on a target at ground level. The package is subject to air resistance whose magnitude is kmv where v is the speed of the falling package, m its mass, and k > 0 a constant. (a) Show that the vertical...