Height Definition and 1000 Threads

Homework Statement In traveling across flat land, you notice a mountain peak directly in front of you. Its angle of elevation (to the peak) is 3.5 degrees. After you drive 13 miles closer to the mountain, the angle of elevation is 9 degrees. Approximate the height of the mountain...

Homework Statement Johnny is swinging (on a swing) at a velocity of 4m/s when he is 56 cm above the ground. What is his maximum height? Johnny is 45 Kg. Homework Equations Pe = mgh Ke= (1/2)(m* v^2) Total energy= Pe + Ke The Attempt at a Solution I tried setting the Ke equal to the Pe...

This a question from projectile motion. This is NOT "homework"; it's a concept that got me thinking. When a projectile is launched from the ground level and it falls back on the same (ground) level, the horizontal displacement is maximised if the angle of projection (with respect to the...

Homework Statement A solid cubical block with a side of 11.0 cm floats in mercury so that 5.48 cm of the side of the block is submerged in the mercury. Water is then poured on the system until the block floats completely submerged. calculate the height of the water column that was added. The...

Homework Statement An ideal liquid flows horizontally through a pipe of cross sectional area 3cm2 with a velocity 1ms-1. The pipe narrows to a cross sectional area 1cm2. 2 vertical pipes are connected to the pipe, one in either region. Calculate the height difference of the liquid between...

Homework Statement Given the following information, derive and expression to calculate the capillary depression of mercury in a glass tube given that: Contact angle = 140 degrees Surface tension 'Gamma' = 0.476 Nm^-1 Tube diameter = 1.0mm Density of mercury 'rho' = 13.58x10^3 kgm^-3...

For example... wind turbines are primarily listed by their wattage (1.5MW etc.) Presumably their output is varied according to rotational speed, so I'm guessing that the rating is simply a guide. However, for a given mass, at a given height; due to standard gravity, can we state that this...

I have been looking into projectile motion equations and am struggling to find suitable ones that cover a projectile being launched at height. I know this sounds like homework, but it isn't. I am after trying to understand a 6 degree of freedom style taking into account terminal velocity...

Hello guys! First post here on the forums and I'd greatly appreciate it if I could receive some help with 2 physics questions. The first one is a projectile question, and the second involves and object falling in a certain time frame through a certain length. 1. A car is racing towards a 20...

In a free-fall problem, 9.8 m/s^2 works fine as long as you stay close to the earth. However, if you are falling from very high up, the change in acceleration due to gravity is no longer negligible. Let's say there's an atmosphereless planet of mass M, and another object of negligible mass is...

Homework Statement A container formed according to the figure, as two communicating vessels, is open. Both parts have a square cross section, with side 1.0 dm of the left part and 2.0 dm of the right. From the beginning, the container contains only water, and the two water surfaces is then...

Homework Statement Time tries to crush a 0.85kg basketball, but is only able to compress it by 1.5cm when a force of 50N in applied a) What is the spring constant of the ball? b) When he throws it against the floor, it is compressed by 3.4cm. How high will the ball bounce? Homework Equations...

Homework Statement A 275 KG steel mass is held by a long cable to the ceiling. Daniel hits the steel mass horizontally and gives it a horizontal speed of 1.75 m/s. Assuming there is no friction, determine the maximum height gain, in centimetres, of the steel mass after the collision...

Homework Statement A person swimming 0.95 m below the surface of the water in a swimming pool looks at the diving board that is directly overhead and sees the image of the board that is formed by refraction at the surface of the water. This image is a height of 6.00 m above the swimmer. What...

Homework Statement The image of a tree just covers the length of a plane mirror 3.80 cm tall when the mirror is held 40.0 cm from the eye. The tree is 20.0 m from the mirror. What is the height of the tree? Homework Equations m=y'/y, s=s'=20m (from problem statement) The Attempt...

Homework Statement Radius of loop: 20 m Mass of cart: 225 kg Gravity: 10 m/s/s (once I figure out how to do this I'll use 9.8 in the final project) Found so far: B) Velocity (top of loop) = 14.14 m/s C) GPE at the top of the loop = 90000 N C) KE top of loop = 22500 N D) KE (bot) =...

Homework Statement An upper tube of cross sectional area A, atmospheric pressure, and height h1 is connected to a lower tube with cross sectional area A/2 (and height 0). A fluid of uniform density rho flows through the system, with velocity v measured in the upper tube. A small open tube...

I was trying to understand the temperature profile of the atmosphere. I am clear with what causes the temperature variation in troposphere and stratosphere. But when coming to mesosphere i can't understand why temperature decreases with height. It is given that it is due to radiative cooling...

Homework Statement Calculate the difference in pressure (in atmospheres) that the blood vessels in a giraffe's head have to accommodate as the head is lowered from a full upright position to ground level for a drink. The height of an average giraffe is about 6m. (Note I'm currently only...

im trying to calculate the drop force of falling object. we do drop test at my work and believe the figures are wrong. we drop a 24.75lb weight from different heigths to check parts . they have it now set that dropping the given weight from 1 ft only produces 24.75 ft/lb force and they add 24.75...

Homework Statement (see attachment) Homework Equations The Attempt at a Solution I am not sure how to start with this problem. Do I need to use the barometric formula? Barometric formula: p=p_0exp\left(\frac{-Mgh}{RT_0}\right)

Hello, I have always wondered, what the relation of wavelength and frequency to the amplitude is. Is there an equation? Does it vary with different types of waves? Can it change?

you are to design a roller coaster in which cars start from rest at a height h=26.0 m , roll down into a valley and then up a mountain. neglect friction. a) what is the speed of the cars at the bottom of the valley? B)if the passangers are to feel 8g at the bottom of the valley, what must...

Homework Statement A Titan IV rocket has put your spacecraft in circular orbit around Earth at an altitude of 397 km. What is your orbital velocity? Give your answer in m/s.Homework Equations http://as370.socialhwk.com/engr370i/ch04/ch4_3/IMG00015.GIF...

Homework Statement A 105 kg acrobat jumps up off a platform at a velocity of 2.50 m/s and lands on a teeter-totter 3.00 m below, where another acrobat is waiting. If the waiting acrobat has a mass of 62.5 kg, how high does she get? Homework Equations KE=(1/2)mv^2 PEg= mgh The...

In the figure, a frictionless roller coaster car of mass m = 800 kg tops the first hill with speed v0 = 18 m/s at height h = 44 m. What is the speed of the car at point B? (point B is one half the height of the top of the first hill) (1/2)mv2 Wg=mgd (1/2)(800)(182)=129600...

A human cannonball was fired from a cannon with a muzzle velocity of 107 km/h. The firing angle was 45 degrees from the horizontal Ive converted 107 km/h to 29.71 m/s 1.How many seconds did it take for the human cannonball to reach maximum height? 2.How high did he rise? h =...

Hi guys! This is due tomorrow and I'm finally breaking down to ask for help in figuring it out. Homework Statement "A small block is placed at height h on a frictionless ramp, which is inclined by an angle θ from the horizontal. Upon release, the block slides down the ramp then falls a...

Homework Statement A baseball is bunted down the third base line leaving the bat from a height of .900m with initial v = 3.00 m/s at angle 20° above the horizontal. I calculated that x(range)= 1.72m t(total)=.61s vx=2.82 m/s vy=1.03 m/s -What is the speed of the ball before it hits the...

Homework Statement An arch is the shape of a hyperbola. IF it s 300m wide at its base and has a maximum height of 100m, how high is the arch 30m from the end ? Note: this is a rectangular hyperbola. Homework Equations (y-h)^2 - x^2 = a The Attempt at a Solution I determined the...

The problem is from the MIT Open CourseWare Calculus eBook by Strang. Chapter 12.2, #3: A ball is thrown at 60 degrees with initial velocity of 20m/sec to clear a wall 2m high. How far away is the wall? Finding flight time T, range R, and max height Y(max) is the easy part. How do I find...

Homework Statement At the Earth's surface, a projectile is launched straight up at a speed of 9.6 km/s. To what height will it rise? Ignore air resistance and the rotation of the Earth. Homework Equations Conservation of mechanical energy K_i + U_i = K_f + U_f The Attempt at a...

a ball is dropped twice off the same initial height. trial one bounces back with a velocity of 3m/s and trial 2 bounces back with a velocity of 2m/s. the time the ball is in contact with the ground for trial 1 is 0.01s. are the impulses on the ball the same for both trials or is it less in trial 2?

Homework Statement Find the geodesics on a cone of infinite height, x^{2}+y^{2} = \tan{\alpha}^{2}z^{2} using polar coordinates (x,y,z)=(r\cos{\psi},r\sin{\psi},z) with z=r\tan(\alpha) The Attempt at a Solution I am not sure with how should I expres the element dz^{2} ? When it is a...

Homework Statement A cat spots a flowerpot that sails first up and then down past an open window. The post is in view for a total of 0.50 seconds, and the top-to-bottom height of the window is 2.00 m. How high above the window top does the flower pot go? Answer: 2.34 Homework Equations...

Homework Statement (answer is h * 5 /7) Homework Equations gravitational potential energy = mgh kinetic energy = 1/2 mv2 rotational kinetic energy of sphere = 2/5 mv2 The Attempt at a Solution The gravitation potential energy at the beginning at the top is the same as the kinetic...

Homework Statement Suppose you are climbing in the high sierra when you suddenly find yourself at the edge of a fog shrouded cliff. To find the height of this cliff, you drop a rock from the top and 10 s later, hear the sound of it hitting the ground at the foot of the cliff. a) Ignoring air...

Please can someone tell me if my thinking here is right... I've got a planet with an atmospheric pressure at 6km of 0.5 P0 and at 8km of 0.4 P0 (P0 = pressure at the surface). I want to work out the scale height of the atmosphere. Given scale height = λ and for height above surface...

1. A pot of 'm' water is rotating about Y axis with w angular velocity...Water is not compressible here... What's the height of the water? 2. Fc=m ω^2 r F=mg m/v=ρ=> 3. I solved the ques for rotation around X axis... Fc =mg From that I found out the h But then I found...

Homework Statement Let a box of height h be filled with classical ideal gas molecules of mass m in a constant gravitational filed g. As will be shown later, the distribution molecular height z obeys: f(z) = C exp (-mgz/KT) Where C is the normalization constant a) find the average height...

trouble calculating a projectile's height after a certain distance Homework Statement A pebble is fired from a slingshot with a velocity of 30.0m/s. If it is fired at an angle of 30deg to the vertical, what height will it reach? If its fall is interrupted by a vertical wall 12m away, where...

deriving equation for minimum height in projectile motion with two give me's :) Homework Statement A ball is launched at a 45 degree angle and lands 152.4 m away. What is the maximum height the ball will reach during its flight. I Know the answer, what I need is to find a way to derive an...

Homework Statement When jumping from a height on to a hard surface, it is advisable to bend one's knees on landing. How does bending the knees affect the time one takes to come to rest? (1 mark) With reference to Newton's second law, explain why it is a good idea to bend one's knees. (2...

A body with a mass of 2 kg is released from rest a height of 0.4m above the edge of a vertical rested spring with k= 1960 N/m. Assume there is no energy loss in the collision: 1. what's the maximal contraction of the spring? 2. to what height will the body reach back? about 2 - Because I...

Homework Statement On a certain day the barometric pressure at sea level is 30.1in.Hg, and the temperature is 70°F. The pressure gage in an airplane in flight indicates a pressure of 10.6psia, and the temperature gage shows the air temperature to be 46°F. Estimate as accurately as possible the...

Assume you have a weightless constant volume container "filled with" vacuum. If you let it float in the atmosphere, how "high" would it go? I guess at some point Archimedes' principle should fail. What do you think?

A 1-kg pellet travels with velocity 280 m/s to the right when it collides with a 39-kg hanging mass which is initially at rest. After the collision, the pellet remains lodged in the hanging mass, i.e., it is a completely inelastic collision. The hanging mass (+pellet) then swings upward and...

Homework Statement You are designing a firing range. The range will be 200 yards in length. You must build a backstop that is of sufficient height to contain the projectiles. There are .22 caliber long rifle ammo and .308 caliber center fire ammo used on the range. A shooter discharges a round...

Homework Statement Q: An object thrown upwards at V0 reaches a maximum height of 100 m. a. Calculate the initial velocity of V0. b. Calculate the total flight time. c. Calculate the height of the object when v=30 m/s. Homework Equations That is my question what...

An open U shaped tube is initially partially filled with water (ρ=1000 kg/m^3). A 10 cm high column of oil (ρ=800 kg/m^3) is poured into the right side of the tube. What is the height of the oil above the water? I set the water and oil equal to each other. (800)(10)(9.8)=(1000)(H)(9.8)...