Vertical Definition and 1000 Threads

(Q) If a diver (standing on a 15 meter high diving board) dives horizontally from the board, and mass is 50 kg. What is his vertical velocity 10 meters from the board ? PE @ 15m = mgh = 7358j (max) PE @ 10m = mgh = 4905j KE @ 10m = 7358 - 4905 = 2453j KE = 1/2 mv(sqr) 2453= 0.5 x...

Imagine an athelete that weighs 180 pounds (81.6 kg) is able to jump 20" (0.51 meters) vertically. How high could he jump if he were able to decrease his weight to 170 pounds (77.1 kg)? I think the basic idea here is to find out, given the mass, what force is required to reach the specified...

Homework Statement Homework Equations How did they come up with \frac{1}{2}+k for the equation of the vertical asymptote? I understand everything else except this.The Attempt at a Solution On this particular exercise, I graphed it and saw that each of my vertical dashed lines were all one whole...

Homework Statement A ball of mass m is suspended from a rope of length R. The ball is set into freely swinging circular motion a vertical plane. The centripetal acceleration of the ball at the top of the circle is 13g. What is the centripetal acceleration of the ball at the bottom of the...

Homework Statement A basketball player achieves a hang time of 0.843 s in dunking the ball. What vertical height will he attain? The acceleration of gravity is 9.8 m/s2. Answer in units of m. Homework Equations I'm not sure what to use, but I think \Deltax = vit + 1/2 at2 could work. The...

I have a problem and it consists on placing a square PVC pipe vertically in a trench and surrounding it in concrete, I would like to know how would I calculate the sufficient wall thickness of this pipe and the maximum depth of the trench etc before the pipe would yield to the surrounding...

Homework Statement Homework Equations Famous Five equations for uniform accelerated motion The Attempt at a Solution To be honest, I have absolutely no idea where to start. The only thing that I notice is that at the point where you're given the velocity vector (when the projectile is 10m...

Homework Statement Revered Members, I have attached two images which explain horizontal and vertical oscillations of a loaded spring. In horizontal oscillations the restoring force is taken as F = -kx. But in vertical oscillations the restoring force is taken as F = kdl. Homework...

Hi can anyone help me with this formula: How do I end up with this equation, thanks in advance!

Homework Statement A 7600 kg rocket blasts off vertically from the launch pad with a constant upward acceleration of 2.35 m/s^2 and feels no appreciable air resistance. When it has reached a height of 570 m, its engines suddenly fail so that the only force acting on it is now gravity...

Homework Statement A catapult fires at an angle of 40.02 and has an initial velocity of 5.463. Find the vertical displacement at t=.38 seconds. I know the following from the problem and logic vo=5.463 t=.3824 g=9.8 angle=40.02 I calcuated the following voy=vosin40.02 voy=3.5133 Homework...

Homework Statement Find the vertical asymptotes of the graph of the function. (Use n as an arbitrary integer) \frac{tanx}{x} Homework Equations N/A The Attempt at a Solution I believe the answer is x=\frac{\pi(2n+1)}{2}. I would just like somebody to confirm or deny this. Thanks...

Homework Statement What is the maximum vertical height to which a baseball player can throw a ball if his maximum throwing range is 54 m? vertical: a=9.8 m/s/s, Vyo=0 m/s, d=?, t=? horizontal: d=54 m, a=0 m/s/s, Vxo=?, t=? Homework Equations d=Vo*t+.5*a*t^2 The Attempt at a...

Homework Statement A spring with spring constant 150 N/m hangs from a ceiling. A 2.00 kg mass is attached to the end of the spring and released. a) How far below its unstretched position will the mass be in equilibrium? b) How far below its unstretched position will the mass fall? c) Taking...

Homework Statement Suppose that I am jumping on the Earth, and I weigh 130 lbs. I push off with an initial vertical velocity of 2 m/s, and reach my highest height at 4 m. If I were to jump on a different planet with an extra 130 lbs (earth weight) because of a space suit etc., would I have a...

Homework Statement Two basketball players are essentially equal in all respects. (They are the same height, they jump with the same initial velocity, etc.) In particular, by jumping they can raise their centers of mass the same vertical distance, H (called their "vertical leap"). The first...

Homework Statement A baseball is thrown with an initial velocity of 20 ms at an angle of 30 degrees with the horizontal. How high did it go if it was released and caught 2 meters from the ground? Homework Equations The Attempt at a Solution 0=Vi^2 + 2ad 0=(20Sin30)2 + 2 X...

Homework Statement Keys with a combined mass of 0.100 kg are attached to a 0.25 m long string and swung in a circle in the vertical plane. What is the tension in the string at the bottom of the circle? Known: Mass = 0.100 kg Radius = 0.25 m Homework Equations Fc = mv^2/r...

Can someone explain why a lot of jet and turbo-prop aircraft do not have anti-ice protection on the vertical stabilizer, particularly those aircraft with T-tails? Obviously, it is because the Vertical Stab on these aircraft are not prone to collecting ice, but my question is WHY is this so? Is...

Frederick comes up with the following scheme to measure a building's height. A timing mechanism is set up which measures the time taken by an object dropped from the top of the building to fall the last 2.0 m before it hits the ground. The object is found to take 0.125 s to move the last 2.0 m...

Homework Statement A heavy particle is placed at the top of a vertical hoop. Calculate the reaction of the hoop on the particle by means of the Lagrange's undetermined multipliers and Lagrange's Equations. Find the height at which the particle falls of. Homework Equations \frac{d}{dt}...

I need a little help understanding which method would be the best way to keep fuel atomized for the longest period of time. I have a CV carb (more specifically a Keihin CV 40) and I'm wanting to install a Dial A Jet. *If you'd like to learn more about the Dial A Jet, go here...

y= y_0 + v_(y0)t - 1/2gt^2 why is it -1/2 gt^2? what if somebody was to throw ball downward? is that still negative velocity? wait, does negative in velocity mean direction?? or slowing down kind of confused while writing this question if it is direction why is it negative for...

What all the parameters to be calculated to find a vertical standing beam subjected to axial loading stands without buckling or stands stable? My HW problem has a theoretical question, a vertical beam is fixed on both ends. Loaded on the top with axial load. Show that with an example...

Homework Statement We are required to sketch a (reasonably accurate) picture of a rational function f(x) = P(x)/Q(x) with P, Q polynomials in x and Q nonzero. We know that the roots of Q(x) are, say, x1, x2, etc. and so f(x) is (typically) asymptotic to the vertical lines x = xk for each k...

I have a few questions regarding vertical oscillations (not damped). Let's say you have a spring hanging from a ceiling with a mass attached to it. So, for example, if I had a mass attached to a spring and I pulled it down by 10 meters, if mg/k = 5 meters then the amplitude would be 5 meters...

[b]1. a cricket ball is thrown at 20 metres per second . how high will it be after 1 second? I will subtitute the values in -4.9x1^2 - 20-1 [b]2. any way the formula is -4.9t^2 - ut [b]3. I think the answer is -4.9-21 :confused: Sorry for hurry, it is due tomorrow

Homework Statement There is a vertical ring with a bead strung on it. The vertical ring spins at 4 revolutions per second, and the the bead moves up the ring at what angle from the bottom of the ring will the bead be at equilibrium? Is it possible for the bead to make it all the way up to the...

Homework Statement A 915kg car goes over a hill. If the radius of this curve is 43m, how fast must the car travel so that it exerts no force on the road at the crest. Homework Equations Fc = mv^2/r Fg = mg The Attempt at a Solution Fc = Fn+Fg Fn=Fg Fg=mg =(915)(9.81)...

Homework Statement Find the vertical asymptote, if there is one, of this rational function. \frac{\sqrt{16x^2 + 3x + 6} -5}{x-1} Homework Equations The Attempt at a Solution This was actually a Calculus problem, I had to find the limit at infinity. I was able to do that easily; an extra...

i got an assignment for physics and my class hasn't done a lot of vertical motion yet, it sounds like a pretty traight forward question but I am battling. A helicopter is rising vertically with a velocity of 14.7m/s when its wheel drops off at a height of 49m i) calculate the time for the...

Hello all, I am new to physics forums so please excuse my posting mistakes (if any). I wanted to know how different is the rotordynamics when one is analysing a vertical machine v/s a horizontal machine ? Is it substantial or we can analyse it as a horizontal machine and extend the results...

Homework Statement A mass, m, is dropped from a height, h, on an initially uncompressed spring of length L. (a) Determine the amount by which the spring is compressed before the mass comes to rest. (b) Determine the mass's maximum speed. Homework Equations U(e)=.5k*x^2, U(g)=mgh, KE=.5mv^2...

Homework Statement http://img683.imageshack.us/i/wave2.jpg/ The above figure shows height vs. displacement plot for a string which has a wave traveling to in the positive x direction at time t=2.5 sec with a velocity of 38 m/sec. What is the vertical (y) velocity of a piece of string at the...

Homework Statement Sketch the graphs of the following function showing vertical and horizontal asymptotes and relative extrema: f(x) = (x2-1)/(x2-4) Homework Equations Limits, zeroes, derivatives The Attempt at a Solution I know that I have the majority of the answers right, the...

Hello we have a number of oscilloscopes with 1.5% vertical accuracy (DPO-4032) we would like to improve (reduce) this number, to improve the quality of our tests. someone has proposed using a DMM (Fluke 45) to "calibrate" the oscilloscope and impart the DMM's much better accuracy of...

Homework Statement Sketch the graphs of f(x) = (x^3)/(x^2-1) showing vertical and horizontal asymptotes and relative extrema Homework Equations Zeroes, limits The Attempt at a Solution I've actually figured out the question; No horizontal asymptote, max at (-sqrt(3)...

Homework Statement Find the vertical asymptotes of: f(x) = (x^2-1)/(x^2-4) Homework Equations Limits, zeroes The Attempt at a Solution Sorry about the mess...not too sure how to type some of this ): lim (2^2-1)/(2^2-4) = 0+ x->2+ lim x->2- (2^2-1)/(2(-)^2-4) = 0+...

Hi. I am trying to find the classical turning points in semi-parabolic coordinates for the hydrogen atom when an electric field is being applied to it in the y-axis. I am reading an article for those who are interested called Classical, semiclassical, and quantum dynamics in the lithium Stark...

Here is the problem. It consists of a. b. and c. As you can see I found A and B, but C is giving me trouble. My work is also attached. I am assuming that when the question says "with what speed do the supplies land in the latter case." that i am finding final velocity. and I have already...

i have to design a journal bearing for a vertical motor shaft. what loads act on these bearings? since the shaft is axial, are they any loads that act on the bearing. here i am talking about journal/plain bearing, not the thrust bearing which supports the vertical load. what type of failure we...

Homework Statement True False If the line x=1 is a vertical asymptote of y = f(x), then f is not defined at 1.Homework Equations none The Attempt at a Solution I originally believed this was true, but on finding it was false it sought a counter example: if for example f(x) = 1/x if x !=...

The canonical symplectic form on T^*M is the exterior derivative of the tautological 1-form: \omega=d\alpha where \alpha_p(X):=p(d\pi(X)) is the tautological 1-form. Let Y \in T_pT^*M a vertical vector, that is d\pi(Y)=0. It's trivial to prove using canonical coordinates that for...

Why the plane of the rings is vertical to the rotation axis of Saturn? I don't think this is a coincidence, because the orbits of the 8 planets in our Solar System is roughly in a plane, and some galaxies are like a plate, so does the accretion plane of the black hole. But as we know...

Homework Statement Consider a water pipe that tapers down from a diameter dA= 5.0 cm at end A to a diameter dB = 2.5 cm at end B. At each end a vertical pipe that is open to the air at the top is attached to the pipe as shown in the Figure. (Not to scale, the pipes are much taller than shown.)...

Homework Statement A block with mass m =7 kg is hung from a vertical spring. When the mass hangs in equilibrium, the spring stretches x = 0.23 m. While at this equilibrium position, the mass is then given an initial push downward at v = 4.7 m/s. The block oscillates on the spring without...

Homework Statement A scientist decides to do the double-slit experiment in a ver- tical tube, with the slits at the top and a viewing screen at the bottom as shown. With red light from a HeNe laser (632 nm) a nice pattern forms on the viewing screen, with the bright spots 1.50 cm apart...

Hallo everyone, I am trying to find the way to solve the vertical diffusion equation for a spicies X in the atmosphere for steady state conditions (dc/dt=0). The equation has the form, dJ/dz -P+S=0 where J =(vs*C(z)) + rho*kz*d/dz(C(z)/rho(z)) is the flux of spicies X at height z...

Homework Statement 1. A ball is tied to a string then moved so that its trajectory is vertical circle. If the mass of the ball is 500 g, the speed is 2 m/s, and the length of string is 50 cm, find the tension when it is at the top of the trajectory 2. A mass m is tied to a string and moved so...

Homework Statement What is the vertical intercept of an acceleration force graph mean? Homework Equations The Attempt at a Solution The mass of an object with no force applied? That's my guess. Any advice and tips appreciated.