Height is measure of vertical distance, either vertical extent (how "tall" something or someone is) or vertical position (how "high" a point is).
For example, "The height of that building is 50 m" or "The height of an airplane in-flight is about 10,000 m".
When the term is used to describe vertical position (of, e.g., an airplane) from sea level, height is more often called altitude.
Furthermore, if the point is attached to the Earth (e.g., a mountain peak), then altitude (height above sea level) is called elevation.In a two-dimensional Cartesian space, height is measured along the vertical axis (y) between a specific point and another that does not have the same y-value. If both points happen to have the same y-value, then their relative height is zero. In three-dimensional space, height is measured along the vertical z axis, describing a distance from (or "above") the x-y plane.
Homework Statement
A toy rocket, launched from the ground, rises
vertically with an acceleration of 23 m/s2 for
11 s until its motor stops.
Disregarding any air resistance, what max-
imum height above the ground will the rocket
achieve? The acceleration of gravity is
9.8 m/s2 .
Answer...
Homework Statement
The gondola ski lift at Keystone is 2830 m long. On average, the ski lift rises 14.6 above the horizontal. How high is the top of the ski lift relative to the house?Homework Equations
The Attempt at a Solution
Drew the picture, did 2830cos(14.6)
but don't know what to do next.
Homework Statement
One mass, m1 = 215g, of an ideal Atwood machine rests on the floor 1.10m below the other mass, m2 = 255g. (a) If the masses are released from rest, how long does it take m2 to reach the floor? (b) How high will mass m1 ascend from the floor?
Known variables:
m1 = 215g...
On the surface of the sun the acceleration due to gravity is approx 0.25km/s². A mass of gas forming a solar prominence rises from the sun's surface. If only gravity is considered, what must its initial upward velocity be, if it is to reach a height of 24000km above the surface?
I can't...
Homework Statement
The attempt at a solution
To find the height of mercury I have used the following equation:
P _{gauge}=\rho _{air}\cdot g\cdot h_{air}+\rho _{Hg}\cdot g\cdot h_{Hg}
where P _{gauge}=3.75 KPa
So I solve for h_{Hg} and get 2.8 cm. I don't think this is...
Homework Statement
Question 5
Figure 5.1
Figure 5.1 shows a nozzle with a jet of liquid 30 mm in diameter with a density of 850 kg.m-3
hitting a plate that has hole of 10 mm diameter in it. The jet of water requires a force of 50 N to
hold it in place.
(a) Assuming frictionless...
Hi
A surveyor is attempting to calculate the height of a Point P, on a building by taking measurements on a horizontal level ground. From a point A, the angle of elevation of P is 30 degrees. He then advances 20 m towards Point P, Point B, and measures an angle of elevation of 45 degrees...
Homework Statement
In a large underground cave, the concentration of helium at the base is measured to be 1.00x10^-4. If the air in the cave is at a constant temperature of 10 degrees-C, what is the concentration of helium at the top of the cave, 300m higher?
Answer: 1.03 x 10^-4...
Hi I'm new to the physics forum as this is my first post so apologies for any mistakes.
I have a question relating to projectile motion that i don't understand the question is:
The chipping machine is designed to eject wood chips at Ui = 7.6 m/s. If the tube is oriented at 30 degrees from...
Homework Statement
Design projectile motion simulation and produce the max height, inital and final velocity, range, and time of flight. must use digital or photographic tech to record events and assist in the experiment>
Okay so I've designed a half projectile motion simulation. A ramp...
Homework Statement
two divers jump on a diving board, who will jump highest, Weights of divers are known and velocity they are jumping at. I'm stuck finding the right formula, I know the board has to deform, stored energy has an influenece. I think its a basic question but my brain has...
A rocket of mass m=1.20x10^3 kg is launched vertically upward from the Earth's surface with an initial speed v0 = 7.00 km/s.
Calculate the maximum height H of point A above the Earth's surface at which the rocket will momentarily come to rest, before it starts falling back on the earth.
So I...
Homework Statement
m=10k
h=12m
F=200N
Homework Equations
a=v/t
F=ma
The Attempt at a Solution
I cannot find the remaining equations to completely work the problem.
Homework Statement
A batter at a baseball game hit a ball such that it flew into the stands. The ball was caught by a fan when it was moving at 10 m/s at a height 20 m above the height it was hit. What was the maximum height to which the ball rose before falling back down towards the fan...
A few shopping centres in my area have these devices that can measure your weight and height.
I figured I'd try it out, all you had to do was insert a $1 coin. Thing is, it has this type of tube on the top of it (the actual device was in an elongated C shape with a small platform to stand...
length. I was asked to find the image and the object distance. I didnt think it was possible till i found this
M=h'/h=-q/p : I knew this
q=-ph'/h : I understood how they did this
1/p+1/q=1/f : I knew this
1/p+1(-ph'/h)=-1/f : This i understood also, but how they came up with...
Homework Statement
The plan view of a flat bottomed pontoon with all its sides vertical 12m long with 1m radius at each end and 2m wide.The
displacement including the load is 28tons. It is used in sea water for which the relative density can
be taken as 1.025.
a)The metacentric height...
Homework Statement
The following tube has dimensions d1=1.13 cm and d2=3.60 mm. Air (density = 1.28 kg/m3) flows through the tube at a rate of 1131.0 cm3/s. Assume that air is an ideal fluid. What is the height h of mercury (density = 13600.0 kg/m3) in the right side of the U tube...
I saw an example where the work of a heart was found to be 2 watts based on the height of a person and the liters of blood that it pumped throughout the day. Since we have closed circulation systems (unless we have a cut, annerism, etc. ) I thought height would not matter, and in order to...
If you are given the projectile angle, initial velocity, and height you can find the projectile range using the quadratic equation (solving for t). One thing I don't understand is why the quadratic equation seems to be the only way to solve these problems.
For instance, let's say an object is...
So the problem states that I have a crate that is 24 inch wide. it weighs a 120 ib (roughly 2590N) and I have to determine a) the force required to move the cabinet to the right &
b) min height so the crate doesn't tip
part a was easy, it came out to be 777N. I am just stuck on the min...
Homework Statement
I have attached the question as a photo. It contains two parts.
Homework Equations
The Attempt at a Solution
For part A, is it simply Q=CV where C is given and Q is the elementary charge times 10^6?
For B, I am not quite sure where to begin.
Any...
How is hydrostatic pressure not a function of the shape of the container? My professor says that the pressure P2 is the same for the figures on the right and left. How does the area of the two sections not matter at all? Clearly, if a plate is inserted of negligible mass, thickness, and...
Homework Statement
Find the height of a projectile being shot in the oposite direction as the center of the Earth with initial speed v.
Homework Equations
Newtons law of gravity
Kinematic equations?
Possibly conservation of energy equation
The Attempt at a Solution
This problem...
Homework Statement
see attachments.
Homework Equations
what is the height of the tree?
The Attempt at a Solution
It seems that tan45=h/22
h=22*tan45
h=22m
A body is projected from ground level with a speed of 24 m/s at an angle of 30 degrees above the horizontal. Neglect air resistance and take gravity to be 10 m/s. Calculate:
a) The time taken to reach its highest point
b) The greatest height reached
c) The horizontal range of the body
a)...
Homework Statement
A spring is fixed at one end to the ceiling, with an ball of mass, m, and radius, r, hanging vertically at the other end of the spring. The system is in equilibrium. The spring has constant, k, and natural length, l0.
I then pull the ball down to an extension, x1, from...
At what projection angle will the range of a projectile equal its maximum height?
I am having a lot of trouble with this one. Is there any way to solve this question without using double angle identities?
I know that this should be the first step:
Max height when Vy=o
Vfy2=Voy2 +...
Hi all,
I have a question, where I am given just the angle at which the object is fired at to the horizontal and the amount of time the object stays in the air. How can I possibly find the distance at which the object will land from the origin if I don't have the velocity at which the object...
Homework Statement
Two balls are thrown with equal speeds from the top of a cliff of height h. One ball is thrown at an angle of α above the horizontal. The other ball is thrown at an angle of β below the horizontal. Show that each ball strikes the ground with the same speed. (Do this on...
Homework Statement
A man stands on the roof of a 10.0 m -tall building and throws a rock with a velocity of magnitude 24.0 m/s at an angle of 30.0 degrees above the horizontal. You can ignore air resistance.
Calculate the magnitude of the velocity of the rock just before it strikes the ground...
An object is launched at 13.8 m/s from the ground. The equation for the object's height "h" at time "t" seconds after launch is: h(t) = -4.9t² + 13.8t, where h is in meters.
Homework Statement
A rocket, initially at rest on the ground, accelerates straight upward from rest with constant acceleration 53.9 m/s^2. The acceleration period lasts for time 7.00 s until the fuel is exhausted. After that, the rocket is in free fall.
Find the maximum height ymax reached by...
Hey I am having a bit of trouble finding the proper equation to use when solving a problem such as this...
A physics book slides off a horizontal tabletop with a speed of 1.10 m/s. It strikes the floor at 0.350 s. Ignore air resistance. Find (a) the height of the tabletop above the floor, (b)...
Homework Statement
An object with a mass of 6.8kg travels at 29.95 m/s has a force of 203.66N What height would this same object needed to be dropped from in order to achieve the same force?
Homework Equations
Not sure which formulas to use for this?
The Attempt at a Solution
Homework Statement
A projectile is launched from ground level with an initial speed of 48.7 m/s. Find the launch angle (the angle the initial velocity vector is above the horizontal) such that the maximum height of the projectile is equal to its horizontal range. (Ignore any effects due to...
Homework Statement
A rocket is launched from level ground with a speed of 30.0 m/s at an angle of 40 degrees above the horizontal. Find:
a) Maximum height reached by the rocket.
b) The time rocket is in the air.
c) the horizontal distance where the rocket lands.
Homework Equations...
Homework Statement
A projectile is fired in such a way that that its horizontal range is three times its maximum height. What is the angle of projection?
Homework Equations
R = Vo2sin(2theta)/g
H = (Vosin(theta)2/2g
R = 3H
Cancel Voo, g and sin(theta) to leave 4/3 tan(theta) =...
Homework Statement
A baseball is thrown upward from a height of 2m with an initial velocity of 10m/s. Determine its maximum height.
Homework Equations
S(0) = 2m
S'(0) = 10m/s
The Attempt at a Solution
S'(t) = -32t + 10
S(t) = -16t^2 + 10t + 2
I know that if you...
Homework Statement
A Circus performer is shot our of a cannon and shot over a net that is placed horizontally 6 meters from the cannon. When the cannon is aimed at an angle of 40 degrees above the horizontal, the performer is moving in the horizontal direction and just barely clears the net...
Hey :D,
I'm doing an experiment to determine the energy lost of a ball after each bounce. I am doing this experiment to 3 types, tennis ball, squash ball and ping pong ball.
I have already determined what I need to do to work out the energy lost of a ball as a percentage after each bounce...
Homework Statement
I have been able to complete section a and b but c doesn't match the answer
a)The acceleration of free fall at the surface of a planet is g and the radius of the planet is R. Deduce that the period of a satellite in a very low orbit is given by T=2pi sqrt(R/g).
b)Given...
Homework Statement
A certain freely falling object requires 1.20 s to travel the last 34.0 m before it hits the ground. From what height above the ground did it fall?
Homework Equations
v = v + at
The Attempt at a Solution
I really tried to do it in my notes and it is a mess. It is more of...
A stone falls from the high bridge and reaches the ground in 10 sec, then height of bridge is approximately __________
(a) 590m
(b) 460m
(c) 500m
(d) 1000m
the object falling has an acceleration due to gravity of 9.8m/s^2 and it reaches the ground in 10 secs so the using the formula...
Homework Statement
A ball is thrown vertically upwards at speed v0. Assume drag force is proportional to v2.
a) Show that, while moving upwards, Newton's Second Law gives a = -g(1+v2/vt2) where vt is the terminal speed.
b) Take v0 = 3vt and solve for v(t), the time tmax at which it...
Homework Statement
A chilld rolls a .6kg bball up a long ramp. The bball can be considered a hollow sphere. When the child releases the bball at the bottom of the ramp, it has a speed of 8m/s. Assume the work done by friction on the bball is the same when the ball moves up or down the ramp and...
Homework Statement
Given:
diameter 0.8 m
height 1.2 m
floats in water
how far will it sink in a liquid (density =1360 kg/m^3)
Homework Equations
Buoyant force
The Attempt at a Solution
In the attachment
I'm stuck on how to find the volume of the submerged cone in the...
Homework Statement
A hydraulic lift is used to jack a 970 kg car .12m off the floor. The diameter of the output piston is .18 m, and the input force is 270 N.
If the input piston moves .13 m in each stroke, how high does the car move up for each stroke?
2-3. Relevant equations and attempt at...