Height Definition and 1000 Threads

Homework Statement [/B] A stone is dropped from the top of a cliff. The splash it makes when striking the water below is heard 4.0s later. how high is the cliff Homework Equations .5mv^2+mgy = E v = v0 + at v = d/t The Attempt at a Solution The question says after the rock is DROPPED so i...

Homework Statement A baseball is hit directly upward with an initial speed of 37 m/s. Find the velocity of the ball when it is at a height of 47 m. Homework Equations F=ma F=ag The Attempt at a Solution F=(37)(-9.8)=-362.6/47=7.7[/B]

A ball is thrown with an initial speed of v0=39.2m/s vertically to Mars. Its initial height is h=15m from the surface of mars. the acceleration of gravity on Mars is g=3.7m/s^2 (1) what is the maximum height hmax of the ball (2) How long is the ball in the 'atmosphere' (3) What is the speed...

Homework Statement I want to calculate velocity and height at each time interval Time intervals: 1,2,3 (seconds) equilibrium height = 3 meters amplitude = 0.2 angular frequency = 48 rad/s phase shift = 60 Homework Equations y(t) = equiheight + Amplitude*sin(angfre*t +...

Homework Statement A projectile is fired with an initial speed of 500 m/s at an angle of elevation of 45°. When and how far away will the projectile strike? How high overhead will the projectile be when it is 5 km downrange? Homework Equations The Attempt at a Solution Flight...

Homework Statement Write down the equation of motion for the downward journey of a baseball subject to quadratic drag. Find v as a function of y and, given that the downward journey starts at ymax (given below), show that the speed when the ball returns to the ground is: vterv0 /...

So this is a physics question, that I am trying to solve. The premise seems simply but I am getting caught up on the uncertainty. The questions reads like this: "Something from the top of a platform takes (2.0 ± 0.1)s to fall to the floor, assuming the acceleration due to gravity is 10 m/s2...

Homework Statement "It's possible to use the ideal gas law to show that the density of the Earth's atmosphere decreases exponentially with height, that is ρ=ρ0exp(-z/z0) where z is the height above sea level, ρ0 is the density at sea level and z0 is called the "scale height" of the...

Homework Statement A red ball is thrown down with an initial speed of 1.2 m/s from a height of 25 meters above the ground. Then, 0.6 seconds after the red ball is thrown, a blue ball is thrown upward with an initial speed of 23.8 m/s, from a height of 0.8 meters above the ground. The force...

Maybe I'm plugging my website but I just finished writing a versatile cylinder calculator. If you know two variables (Volume Area Radius Height), it calculates the other two. http://www.1728.org/diam.htm It was a little tricky deriving the formulas but I'm glad I did. (Yes, I know if you...

"If the height of the water slide is h = 3.2m and the person's initial speed at point A (at the top of slide) is 0.54m/s, at what location does the swimmer splash down in the pool?" I saw a thread with the same question back from 2005 but it is now closed. I understand that you have to use...

Homework Statement A square shaped block of mass m travels to the right with velocity v on a frctionless surface. The block has side-length 2d. The block hits a very small, immovable obstacle on the floor and starts to tip. The block has moment of inertia Icm=2/3md^2 about an axis through...

Homework Statement An executive toy consists of three suspended steel balls of masses M, n and m arranged in order with their centres in a horizontal line. The ball of mass M is drawn aside in their common plane until its centre has been raised by h and is then released. if M ≠ m and all...

A certain laptop says it can withstand 1500 gs. Assuming that it's dropped onto a hard surface, and ignoring air resistance, how would I calculate how many times Hubby can come home late without calling the max "safe" drop height?

Forgive me if some of my question sounds misguided or misinformed - I'm new to the flux pinning game. I want to be able to modify the height of a quantum locked superconductor. My original plan was to levitate the superconductor over an electromagnet and modify the current to said magnet...

home run that was estimated to have landed 180 metres from the home plate and to have reached a height of 21.3 metres. Calculate the initial velocity of the ball. u^2=v^2-2as t=? u=? v=0 s=180 a=g= -9.8 u^2= √0^2-2x-9.8x180 u= 59.9 m/s am I using the right equation for...

Hi, I'm a first time poster here and I have a physics question I can't find the answer to anywhere. I don't know much about physics so this might be a basic question to answer. I have a mass (x) that is attached to a cable that is attached to a counterweight that is at 10 feet that will be...

Hi, I visited my Mother and Stepfather recently, and admired the tall trees around their house. We estimated them to be around 180-200 feet tall. I told my Stepfather that the *Actual* height could of course be calculated. I said there are three angles and three lengths for any...

Homework Statement A marble is accelerated to a horizontal velocity of 0.50 m/s by rolling it down a small ramp. The marble rolls off the table, which is 0.78 m high. As it falls, it hits a barrier on the way down. If the barrier is 0.15 m from the edge of the table, at what height from the...

Hello, I was thinking about how would capillary action change in a tube (classic example) and in a tube fitted inside another tube (considering water as the liquid involved). This is no homework question, it's just a thought which striked my mind but I don't have sufficient basic knowledge...

Homework Statement I need to know whether a ping pong ball bounces the same fraction of the previous height or does the fraction change? For ex. if I drop the ball from 1m and it bounces back to 0.7m, it decreased by 30%, will it always decrease by 30%, or will the percentage change...

Homework Statement Find an analytical model for the height of a bouncing ball to be able to find the the height of the ball at any given time. In other words, as I understand, write an equation that would define the trajectory of a bouncing ball. Let's say the coefficient of restitution (COR)...

Homework Statement You want to throw an apple to your buddy on the second floor balcony that is 2.2m above where you release the apple. When you throw the apple with a speed of 14m/s at an angle of 55° above the horizontal, it gets to your buddy who catches it on the way down. Find the maximum...

Homework Statement A closed cylinder is required to have a volume of 40m^3 but made with the minimum amount of material. Determine the radius and height the cylinder must have to meet such a requirement. V= πr^2h Steps needed: a) Insert value and transpose for h b) Then sub into...

An apple falls from a tree and hits Sir Isaac Newton on the head. If the apple fell from 2.5m, what was the velocity of the apple just before it hit him? This question was on my physics exam today, and no one I've talked to in my class was able to get it! Dont we need two variables at the...

Homework Statement Consider a rocket making a vertical ascent in a uniform gravitational field, g. Show that the height of the rocket when the fuel is exhausted is given by x = ut_b - \frac{1}{2}g{t_b}^2-\frac{um_R}{α}ln{\frac{m_R+m_F}{m_R}} where "u" is the exhaust velocity of the fuel...

Homework Statement find time to reach max height max height is 0.870m mass of diver is 70kg makes an angle when diving of 85 degrees Homework Equations Vf=Vi + gt The Attempt at a Solution Vi=0 Vf=gt t=vf/g = 0.870/9.8 not sure if this the right approach

Thanks in advance! I have problem that is causing me a headache to no end. In a cylinder, if one knows the total volume of cylinder and total volume of fluid in said cylinder, how would the height of this fluid be computed? I have no problems calculating volumes based on height, but the other...

A ball is thrown from a cliff. The path of the ball modeled by the equation h = -5t^2+ 5t + 210, where h is the height, in metres, of the ball above the ground, and t is the time, in seconds, after it is thrown. How high is the cliff? Not really sure how to do this problem. I know that one of...

Homework Statement A thin rod of length L, mass m is suspended horizontally at rest. It is suddenly released and experiences immediately after an impulse vertically upwards at one end. I need to find the maximum height reached by the centre of mass and the angular velocity of rotation about...

Homework Statement Ball with mass of 0.7 kg and radius 0.15 m is dropped from top of the building 30 m tall. Force of air resistance which acts on ball is given with the equation: F_r = \frac{1}{2} c S ρ v^2 where c = 0.5 S = r^2 ∏ ρ = 1.29 \frac{kg}{m^3} v = current speed. How tall will...

Homework Statement I don't know the radius of the circumference. I could only measure the arc lenght, and the height. I know the guidelines say we should not post images, but this is a geometric problem and I think it is something logic to show it with a picture. So the variables are the...

Hi guys I've a problem calculating the vertical jump from ground reaction force. We tested a person with a force plate, and we got this curve as a result: Homework Equations These are the equations, sorry for the danish language, but just look at the equations and not the text...

So at school we had to make our own experiment, and we tried to make a loop-the-loop. We let a marble go from some height. But now we've got a problem. We had a sensor on the top of the loop, to see how long it does to go to the top of the loop. But it didn't make sense. So I had to fake the...

Homework Statement Above the center of the street a lamp is hanged. A lamp radiates equally in all directions. How high does the lamp have to be so the edge of the road is as bright as possible? Homework Equations The Attempt at a Solution I'm kinda lost here...

Kinematics help -- object is dropped from a height h Homework Statement An object is dropped from a height h and strikes the ground with a velocity v. If the object is dropped from a height of 2h, which of the following represents its velocity when it strikes the ground? A) v B) 1.4v...

Homework Statement A model rocket is launched with an initial velocity of 55 m/s. Its height as a function of time can be modeled by h(t) = -4.9t2 + 55t. Determine the maximum height reached by the rocket.Homework Equations h(t) = -4.9t2 + 55tThe Attempt at a Solution h'(0) = 55, since h'(t) =...

Homework Statement At what projection angle will the range of a projectile equal its maximum height? Homework Equations Big 5 vf2= vi2 + 2ad The Attempt at a Solution So I attempted to solve this question by randomly subbing in equations into each other. If i draw out a diagram to solve...

Homework Statement A rock is thrown off a 100 m cliff at an angle of 38 degrees below horizontal with an initial velocity of 20.0 m/s. a) What is the total time in flight? b) What is the horizontal range? c) What is the max height reached by the rock? Homework Equations x = x_0 +...

Homework Statement A particle receives an impulse that lasts 1s, coming from a upwards vertical force. This force is given by the following equation: F = -8t²+8t. What is the maximum height reached by the particle?Homework Equations F = -8t²+8t The Attempt at a Solution \int(-8t²+8t)dt =...

Homework Statement A nozzle with a radius of 0.250 cm is attached to a garden hose with a radius of 0.800 cm. The velocity of the water in the hose is 2.80 m/s and the velocity of the water in the nozzle is 28.7 m/s.s (a) Calculate the maximum height to which water could be squirted if it...

Homework Statement A ball of mass M = 0.320kg is connected by a light but rigid rod of length L = 0.770m to a pivot and held in place with the rod being vertical. A wind exerts a constant force F to the right on the ball. The ball is released from rest, and the wind makes it swing up to a...

Kinematics -- projectile motion -- time to maximum height? Homework Statement The nozzle of a fire hose discharges water at a speed of 10 m/s. The nozzle is aimed straight up. How long does it take for a water drop to reach its maximum height? Start with translating the question: vi= 10 m/s...

If you are standing on the side of a mountain at a point (x,y) and you know where the peak is (Xp, Yp) and how high it is (Zp) and you have a function G(x,y) that defines the 3D normal vector to the mountain side at all points on the surface, how do you calculate your height? OK it's a simple...

Homework Statement A baseball is thrown vertically into the air with a velocity, v, and reaches a maximum height, h. At what height was the baseball with one-half its original velocity? Assume no air resistance. Homework Equations v22 = v12 + 2ad ? The Attempt at a Solution let...

Homework Statement A jet is diving vertically downwards at 1200kmh^-1. If the pilot can withstand a max acceleration of 5g before losing consciousness, at what height must the plane start a quarter turn to pull out of the dive. Assume the speed remains constant. The Attempt at a Solution I...

Homework Statement Let q = kd sin(θ), so the sin(θ)-dependent factors in the M-slit and the 2-slit formulas for registered diffraction intensity can be compactly written: 1/M2 = (sin2(Mq/2))/(sin2(q/2)) and cos2(q/2), where the 1/M2 prefactor normalizes them in common to have unit maximum...

Homework Statement An object is thrown vertically upward such that it has a speed of 25 m/s when it reaches two thirds of its maximum height above the launch point. Determine this maximum height. Homework Equations Vf^2 = Vi^2 +2gt The Attempt at a Solution Couldn't figure out Vi...

Homework Statement A rocket moves upward, starting from rest with an acceleration of 29.4 m/s^2 for 4s. It runs out of fuel at the end of this 4s interval and continues to move upward. a.) how high does it rise from the ground? b.)When the rocket will hit the ground? The Attempt at a...

(2) Find the height of the cone's lateral surface minimum confined to a sphere of RADIUS R. the answer is (2 + sqrt(2)) R