Height Definition and 1000 Threads

Hi all, I've been looking at some buoyancy problems and one continues to vex me, how to calculate the new fluid height within a container after a floating solid is added to it. I understand that for a completely submerged solid Archimedes comes into play, volume of the solid equals volume...

Homework Statement A projectile was fired across level ground at an initial angle of 43.00 degrees above the horizontal. During its flight, it reached a maximum height of 2974 metres. What was the initial speed of this projectile? Homework Equations I assume that the correct equation...

I have a parabola centered at x=0, equation: y = a*x^2 + c, where a is always negative and c always positive. I need to find a way to calculate a and c, if i know: the arc length above the x axis, and the base width, knowing the base width i also know the x-axis intersections x1,2 =...

Hey folks I'm having some trouble with this question in my homework: Homework Statement A man at the top of a building throws an object straight up at a speed of 10 m/s. The object hits the ground 5 seconds latter. For the purpose of this problem the assumed environment is a vaccum. a)...

Suppose you know only these three things about a launched projectile: - Initial launch velocity (magnitude only, not direction) - Maximum height reached - Horizontal distance traveled before hitting the ground Is it possible to find the initial height, launch angle, and airtime of this...

Homework Statement A ball is thrown at 32m/s vertically what is the max height the ball can attain. Homework Equations no equation is given except initial speed The Attempt at a Solution so my guess is since the gravity is 9.8m/s^2 if I integrate 9.8m/s^2 = 32 it gives me 2.1396...

Hi everyone, I'm trying to design a formula that determines the launch velocity, launch angle, and time spent in the air for a projectile if only the initial launch height, maximum height reached, and total horizontal distance traveled before the projectile hits the ground are known. It's not...

Homework Statement A roof tile falls from rest from the top of a building. An observer inside the building notices that it takes .20s for the tile to pass her window, whose height is 1.6m. How far above the top of the window is the roof? Homework Equations just having trouble...

This thought came from staring at telephone poles and light posts along roads and walkways. I noticed that these objects all had the same height more or less and were regularly spaced. The poles and appeared to reduced in height (following some mathematical relationship) as the distance between...

A 2.00 m deep swimming pool is equipped with a wave generator that sends sinusoidal waves across the pool. The equation which gives the water depth, h(x,t), some distance x from the wave generator at any time t is: h(x,t) = 2.00 m + H cos[ 2π [ t/(4.900 s) − x/(0.4000 m) ] − 5π/4 ] where H =...

Hi, I have conducted an experiment to calculate the rate of change of water as it passes through 1cm levels (10 down to 0) across a uniform cross section of a juice bottle (rectangular prism shaped). I was wondering how I could verify/prove that the area under the curve is equal to the initial...

Hi I'm new here so I don't know if I posted in right place but here is the problem. I don't know if you are familiar with antenna theory but I need to calculate radius of 1. Fresnel ellipsoid. It's easy when two antennas are on same altitude but if they aren't there is a problem. If you...

Hello, I am new to this forum. I am having trouble with conceptualizing trajectories of objects. Here is a specific question that I can figure out: If a car is traveling down the hill with an incline and an object is thrown out of the car, what is the trajectory of the object? Would the...

Having a fair bit of trouble with this one. Based on the answer I had thought to apply the Sine Rule but adding points to describe the lengths of elevation seems wrong, but I'm stuck on how else to approach this. Can anyone help, please? Many thanks. Homework Statement Q. A vertical...

Homework Statement Knowing you can jump about 1m high on Earth's surface, how high can you jump on the unknown planet. Munknown= 4.19*10^21kg Radius Unknown= 1*10^6m Homework Equations Not sure if can be used in this question K1+U1 = K2 + U2 1/2MV2 + mgh = 1/2MV2 + mgh U=-GM/r and U = mgh...

Acceleration (a or 9.8 for simplicity); initial velocity (vf); distance (d); Initial velocity (vi) trying to find a formula to answer "how far would you have to fall to reach x speed" where x is input from user. Is it possible to answer this using two steps, first find time then find...

Homework Statement There are 2 objects both with mass 0.50 kg which are dropped from rest at height h. One is dropped on Earth and experiences air resistance and one is dropped on moon and experiences no air resistance. The gravitational acceleration on Earth is 9.8 and on moon it is 1.6...

Hi everyone, This may seem like a simple problem but it seems to be escaping me. Say I have an object of a given mass, m, and I want it to impact the Earth at an acceleration of 40 g's. What height, h, must I drop the object at? Again, I feel like I'm just missing a step so please let...

Homework Statement A simple measuring device is used at point X and Y on the same horizontal level to measure the angles of elevation of the peak P of a certain mountain. If X is known to be 5,200m above sea level, |XY| = 4,000m and the measurement of the angles of elevation of P at X and Y...

Homework Statement An open box of maximum volume is to be made from a square piece of material 24 centimeters on a side (24-2x) by cutting equal squares from the corners and turning up the sides. The table shows the volumes V (in cubic centimeters) of the box for various heights, x (in...

Homework Statement Consider the waveform shown below heading towards a boundary between two strings. Let string 1 have mass per unit length of µ1 = 0.05 kg/m and let string 2 have a mass per unit length µ2 = 0.02 kg/m. Let the tension in both strings be T = 100N. --> ____/\____ _ _...

Homework Statement the five objects of various masses, each denoted m, all have the same radius. They are all rolling at the same speed as they approach a curved incline. Solid sphere - m = 1.0 kg Hollow Sphere - m = 0.2 kg Solid Cylinder - m = 0.2 kg Solid Disk - m = 0.5 kg Hoop - m = 0.2 kg...

hi i am on to understand when ships are in a stable position. now i found that this is directly linked to a quantity called the metacentric height? there are two major forces, the gravitational and the buoyant force. and in classical mechanics when i wanted to find out the torque that...

What is the density of Air vs Height above Earth? Air Density is 0.001275 g/cm^3 at sea level. I would like to see a graph or a table with the air density vs km above sea level.

Hey guys The lab manual for the class is found here http://advancedlab.physics.gatech.edu/labs/Muons/Muons.pdf One of the things, I was interested in figuring out was what would be the minimum height needed to put a moun detector (currently at ground level) in order to detect a minimum 1%...

Homework Statement if the line of sight,object,image are collinear,we can apply the equation d/D = n(medium containing observer) / n(medium containing object) Where d = distance between image and boundary(apparent height/depth) D = distance between object and boundary.(real height/depth)...

Homework Statement Two satellites are orbiting around the Earth. One satellite has a period of 1.5 h and is 250 km above the Earth's surface. The second satellite has a period of 7.5 h. Using Kepler's Laws and the fact that the Earth's radius is 6.38x106 m determine the height of the second...

I am a formal instructor and one of the classes I teach revolves around the ballistics of a bullet. I am currently in a Calculus class and will be starting as an Economics major In the fall when I finish my time in the Marines. I am hoping to see if there is any way, through a formula that I...

I am a formal instructor and one of the classes I teach revolves around the ballistics of a bullet. I am currently in a Calculus class and will be starting as an Economics major In the fall when I finish my time in the Marines. I am hoping to see if there is any way, through calculus that...

Homework Statement A spring is standing upright on a table with its bottom end fastened to the table. A block is dropped from a height of 3.0cm above the top of the spring. The block sticks to the top end of the spring and then oscillates with an amplitude of 10cm. What is the oscillation...

Homework Statement Ok so I had this problem on my quiz today and I am really anxious to see if i got it right. It went something like this: You have a frictionless horizontal platform and a ramp with kinetic friction of 0.3. The ramp is 20 degree of the ground. A 2 kg block/object is...

A hollow cylinder (but not open ended) is allowed to float on a liquid. Can anyone please help me how to calculate the height (h) it submerge? I want to get a relationship between height and cylinder weight. I can calculate the volume of submerged part. But no idea how to derive a formula with...

An object which is 0.54m tall is located 1.23m in front of a plane mirror. How tall is the image as seen in the mirror? I know that the image seems to be 1.23m from the surface of the mirror and that the object seems to be 2.460m from the image. What equation do I need to use to figure...

Homework Statement A bowl has radius of 16 cm at the top of it (the largest diameter) and diameter of 8 cm at the bottom of it (the smallest diameter). Find the diameter at position: a. 1/4 height b. 1/2 height c. 3/4 height Homework Equations not sure, maybe: trigonometry...

Alright, I am trying to work out some equations on a project to determine if fictional instances of physics are possible or not. In my case, I am seeing how a person travels if they are thrown from a jet that is traveling vertically (don't ask). I have completed the equations to solve how far...

http://dl.dropbox.com/u/33103477/gravity.png I have worked out the first two bits. (So you can assume that I have that) But I can't figure out how to work out the maximum height reached. I know there I can equal the KE and the PE to work out max height, but that doesn't look like it'll...

Homework Statement Homework Equations PE = mgh KE = \frac{1}{2}mv^{2} W = ΔKE W = Fd The Attempt at a Solution g = 9.80m/s^{2} hi = ? hf = 20.0m PEi + KEi = PEf + KEf mghi = mghf Would you then cancel the masses out? If you did, the initial height would be 20.0m...

OK so my thread got deleted cos moderator thought it was homework! So can any of you guys help?? I dropped a 500ml unopened can of beer on my foot yesterday from a height of about 3.5feet. Does anyone know what weight it would have been? Apart from a sore bruised foot I also have pain on...

1. A ball is dropped from a height of 79 m. Simultaneously a ball is thrown upward from the ground at a velocity of 28 m/s. How much time passes until the balls are at the same height. I'm not really sure what equation to use or how to approach.

Homework Statement How to find the equation of cylinder: x^2+y^2=4 from z=0 to z=2? Homework Equations (x-a)^2+(y-b)^2=r^2 The Attempt at a Solution I can't figure out how to implement the z-coordinate into the general equation of cylinder. In the latter, the height is taken as infinite in...

Hello .. This is a question with answer , From where " 1 " in the solution ? http://store1.up-00.com/Mar12/yd170715.jpg

Homework Statement A golfer hits a ball, giving it a maximum height of 20 m. If the ball lands 130 m away at the level from which he hit it, what was its initial velocity? (Neglect air resistance) Homework Equations The Attempt at a Solution I found the angle to be 31.6, so I...

Homework Statement i had a solid rectangular beam of max stress equalling 1.65x10^6N/m² a new beam, a hollow rectangular beam is made to reduce weight, it has the same maximum bending stress 1.65x10^6N/m² but this time has a horizontal dimension of 0.2m and a constant wall thickness of 0.02...

Homework Statement A golf ball is hit with a velocity of 22.8m/s at an angle of 40.0° with respect to the horizontal. a) Find the range of the golf ball. b) Find the maximum height reached by the golf ball. Homework Equations dv=1/2*at2 dh=Vh*Δt Kinetic equation d=Vi*t+ 1/2*at2...

Homework Statement A swimmer moving at 1.80m/s, dives off a pier and hits the water 0.80m from the edge of the pier. How high is the pier above the water? Homework Equations dv=1/2*at2 dh=Vh*Δt a=9.8 The Attempt at a Solution dh=0.80m Vh=1.80m/s dv=? t=? First started...

Homework Statement Consider a manometer with a glass bulb (Pgas=88kPa) at one end and which is open to the atmosphere (P =101 kPa) at the other. The manometer has two liquids oil and water in it, as shown. If the oil has a density of 823 kg/m3 and water a density of 1.00x10^3 kg/m3 find the...

I was reading through my notes and this idea popped into my head: If you had to drop a liter of water from a certain height, could that potential energy before it's dropped be used to heat the water when it hits the ground? Like you got this equation ΔE = C ΔT Could one use that value of...

The problem goes like this. A water fountain sprays water at a 50 degree angle from the horizontal. The top of the arc is .15m high. What is the horizontal speed of the water? Using SOHCAHTOA, I have managed to find the distance the water flies, and the angles of the triangle the 50 degree...

Why is gravitational potential energy relative to the height you set? When I say relative, I don't mean anything having to do with relativity. Obviously as you go further from the earth, you have more potential energy but in the equation Ug=mgh if you set the height to 0 there is no potential...

hi everybody, I posted this in an engineering forum but I think it's more relevant here, because it's really just a question of fluid and Newtonian mechanics. I'm working on a project where I'm trying to measure raindrop parameters, and one thing I'm looking at is the sub-terminal speed...