Homework Statement
A projectile is launched with initial speed v0 and angle θ over level ground. The projectile's maximum height H and horizontal range R are related by the equation R = 4H. Write an expression for the launch angle of the projectile.
Homework Equations
R=4H
Vxo=Vocos(θ)...
Homework Statement
A sniper standing on a 70 meter-tall tower fires his rifle at 30 degrees upwards with the initial velocity of 1000 m/s. What is the range of the bullet and how much time will pass before it hits the ground? Assume no air-resistance.
2. The attempt at a solution
I divided...
Homework Statement
A child throws a ball with an initial speed of 8.00 m/s at an angle of 40.0° above the horizontal. The ball leaves her hand 1.00 m above the ground and experience negligible air resistance.
(a) How far from where the child is standing does the ball hit the ground?
(b) How...
I am curious. There have been two collisions recently between a military ship and a large commercial ship. Both times, the military ship was damaged at the waterline and the other ship was damaged far above the waterline. How does that happen?
Homework Statement
Two rectangular pieces of plane glass 11.0 cm long are laid upon the other on a table. At one end they are in contact, at the other end they are separated by a piece of paper, which forms a thin wedge of air. The plates are illuminated at normal incidence by 510 nm light...
Homework Statement
Homework EquationsThe Attempt at a Solution
When the plank leavs the wall at angle ##\theta ##,
Torque about ground ## \tau _g = mgl \cos \theta = \frac { m(2l)^2 \alpha }3##
Torque about COM ## \tau _c = Nl =\frac { m(2l)^2 \alpha } {12} ##
Acceleration of COM: a =...
Homework Statement
A projectile, launched at A with an initial velovity of 24m/s at the angle θ, impacts the vertical wall at B. Compute the angle θ that will maximize the height of h of the impact point. What is this maximum height?
Homework EquationsThe Attempt at a Solution
I guess I have...
Imagine one magnet levitating above another. Now imagine another 3 magnets are added to the bottom magnet (image below). What would happen to the levitating height?
I'd imagine the levitating height would increase and the force would increase by 4 times. I had a quick look online but I...
Homework Statement
I have attached the problem. I will write it out:
A waitress attempts to push a glass of water of heigh 15.o cm and diameter of 7.00 cm on a dining table, as shown in the figure. If the coefficient of static friction between the glass and the table's surface is 0.350, what...
Homework Statement
A projectile launched at A with an initial velocity of 24 m/s at the angle θ=60deg, impacts the vertical wall at B. Neglecting air resistance, calculate the height h
Homework EquationsThe Attempt at a Solution
Here is my solution
As you can see to find height h I assumed...
Homework Statement
A projectile was launched at 70 m/s at an angle of 45 degrees above the horizontal, how long does it take the projectile to reach maximum height?
Homework Equations
Vyo= initial vertical velocity Vo=initial velocity
The Attempt at a Solution
I tried using the...
I have a question for the community. I am doing a further study and trying to locate any information regarding input impedance of an off center fed dipole at different heights above ground. A simple dipole targets 73.1 ohms for 1 wave length or higher above ground. I am not sure if the same...
When an object is thrown or propelled upwards and it meets the point at deceleration and drops; what is that point called, where the object is not moving in either direction?
I'm trying to figure out how much energy needs to be absorbed, radiated or displaced from an object falling from various heights. To make this clear, the "item" is a person so the weight can vary from 70-350lbs and the height let's say 60-3500 ft. Obviously the speed at the end will determine...
Homework Statement
The best relative gravimeters have a relative uncertainty of 10-12, that corresponds to a height difference of 3 µm.
Homework Equations
g∝(1/r2)
The local gravitational acceleration g outside the Earth is proportional to 1/r2, which means (Δg)/g = -2 (Δr)/r. With (Δg)/g =...
Homework Statement
Find the minimum height of a vertical flat reflector, in which a 1,78 m person can see its full reflection.
Homework Equations
M = h'/h
The Attempt at a Solution
I really don't know what to do here, and I feel as if I'm missing some crucial element. The chapter about...
In the proof of the valence formula you integrate ##f'(t)/f(t)## around the boundary of the fundamental domain, with some modifications such as :
- omitting the points ##i, \omega ##
- since equivalence is allowed on the boundary, modifying as needed to ensure such points that are equivalent...
Homework Statement
Hello!
Please, help me to understand the task - I seem to fail to understand what goes where, and hence cannot proceed to solving the exercise. Please, take a look at the task, and then my questions. The task is on using the law of sines. Before trying to solve it I need to...
1. Question
Given an idea spring with constant K, a mass of M is dropped onto the spring from a height of H1. The spring compresses D distance.
We take the mass off, and drop the mass again at a height of H2, where H2 is significantly greater than H1. This time, will the spring compress a...
Homework Statement
A bridge with a steel framework is 500.000m long on a winter day at 5.0 C. For steel use 11.0x10^-6/ dC a) Find the length of the bridge on a summer day when the bridge temperature is 55.0 C. Keep 6 significant figures in this part and in part b). The bridge is built in the...
1. Ut will bungee jump from the golden gate bridge. The height that she will jump from is 65 meters. The rope pulls her up 8 meters above the water. If UT's weight is 63 kg, how far will the rubber rope pull her upwards, if there's no loss to friction or air resistance?
Homework Equations...
(mentor note: posted in a non-homework forum hence no template)
Hello!
I have a problem I'm trying to solve.
I'm transforming a circle with known radius. Knowing it's radius i can calculate the circumference.
I transform it by squeezing one side, leveling it, creating a circle segment with a...
I have a satellite orbiting at a velocity of 3850Km/hr around planet Earth in a circular orbit, please help me in calculating it's height of orbit. I do know that the closer a satellite is, the faster it's orbital velocity, and the farther it is the slower it would be, and help me with the formulas?
Hey Guys, I have attempted the question below and need someone to check my work, please.
Thanks!
1. Homework Statement
If the hammer was tossed downward at 4.6 m/s from a height of 9.5 m above ground level, how high would it be after 0.75 s?
Homework EquationsThe Attempt at a Solution
[/B]
Me: 6'0.125"
Elder brother: 6'2.7"
Sister: 5'9.25"
Father: About as tall as my brother
Grandfather (paternal side): I don't know his height due to him having passed away long before I was born, but he looked about as tall me in a picture
Mother: 5'4.5"
Grandmother (maternal side): Used to be...
Homework Statement
A projectile is launched at 750 meters per second at a 30 degree angle to the horizon. How long is it in the air? How far does it go? What is the maximum height that it reaches?
Homework Equations
Sin(30)=1/2
Cos(30)=sqrt(3)/2
The Attempt at a Solution
This is what I have...
Homework Statement
I am currently trying to find a way to determine the relationship between launch height and range for a projectile launched at less than horizontal.
Would vary launch height to and measure range.
I need a directly proportional equation or at least a linear relationship...
Homework Statement
An empty ball , of mass m moment of inertia I = (2m.r²)/3, is rolling across the path shown below :
there is friction fr from A to C .
r is the radius of the ball , and R is the radius of the circular part within the path .
what would be the minimal height h , so...
Homework Statement
If air has a density of ρ0 on the surface, calculate its density as a function of the height y for two scenarios:
(a) the temperature is constant at T0;
(b) the temperature decreases linearly T(y) = T0 − ay.
Express your results using the given variables together the...
Homework Statement
A projectile is fired with a velocity v such that it passes through two points both at a distance h above the horizontal. Show that if the gun is adjusted for maximum range, the separation of the points is
d = (v/g)(√v2-4gh)
Homework Equations
y = -gt2/2 + vsinθt
x = vcosθt...
Homework Statement
A ball is thrown upwards. Its velocity at 3/5 its max height is 16.0m/s
What is its initial velocity?
What is its max height?
Homework Equations
vf^2 = vi^2 -2g(yf-yi)
define up as positive
The Attempt at a Solution
I ran through numerous attempts on paper but can't...
Homework Statement
Homework EquationsThe Attempt at a Solution
So (i) was easy enough and I got a time of 0.67 seconds.
For (ii), since the horizontal time is 0.67 seconds this means the TOTAL time spent in air is also 0.67 seconds, so to calculate max height we split this time in half...
Hey! :o
I am looking at the following:
The average tallest men live in Netherlands and Montenegro mit $1.83$m=$183$cm.
The average shortest men live in Indonesia mit $1.58$m=$158$cm.
The standard deviation of the height in Netherlands/Montenegro is $9.7$cm and in Indonesia it is $7.8$cm...
I know that helicopters cannot fly arbitrary high and 5,000 m are considered as the average limit. In a quick search I also found out, that a AS 350 B3+ has been landed on the Everest (8,848 m, 2005) and another AS 350 has (unofficially) reached 12,954 m in 2012 (official record: 12,442 m by a...
If you measure the height of a mountain, you compare it's height with the sea level. But on let's say mars, how do you measure height when there is no sea to compare with?
For example: Olympus Mons is considered to be the tallest mountain or vulcano in the solar system, but what is the level on...
I'm currently struggling slightly with finding some information regarding a vortex. If I have a fluid in a cylindrical container and the fluid is then rotated at a constant speed, the vortex will displace the water and raise it relative to the initial level of the fluid. Is there any formula...
Homework Statement
Based on the height of a first hill (114.5m), mathematically determine the minimum height (circular motion and radius) of the next hill based on the speed generated on the first hill.
At the bottom of the first hill, the velocity of the roller coaster is 47.38m/s. There is...
Homework Statement
A block in the shape of a quarter circle moves at constant acceleration across the floor. At some moment a small block of mass m, which is at rest with respect to the floor, is placed atop the horizontal part of the large block. There is no friction in this problem. Assuming...
Homework Statement
Two blocks are free to slide along a frictionless wooden track ABC as shown below. The block of mass m1 = 5.09 kg is released from A. Protruding from its front end is the north pole of a strong magnet, repelling the north pole of an identical magnet embedded in the back end...
Homework Statement
Physics for Scientists and Engineers, 8th Edition, Ex. 47 M4
A spacecraft flies from 24.000 ft to 31.000 ft, in which it enters a parabolic trajectory with a velocity of 143 m/s at an angle of 45, above the horizontal. It exits with a velocity of 143 m/s at an angle of 45...
Homework Statement
In the diagram above, a box of mass .385 kg is sliding at the right at 1.55 m/s across a frictionless surface when it falls into the hole shown.
a) How fast is it moving when it passes point P?
b) How fast is the box moving when it passes through the bottom of the hole the...
Homework Statement
Solve free fall from height h to the Earth´s surface in the place longitude φ. During solving, Consider gravitation acceleration as a constant for the whole trajectory, so g=constant. (consider a homogeneous gravity field) and variables which are including angular speed ω...
Hi,
I would need some help with my homework. I am lost.
Solve free fall from height h to the Earth´s surface in the place with geographical width φ. During solving, omit addiction gravitational acceleration to the distance. (consider a homogeneous gravity field) and variables which are...
Hi,
I would need some help with my homework. I am lost.
Solve free fall from height h to the Earth´s surface in the place with geographical width φ. During solving, omit addiction gravitational acceleration to the distance. (consider a homogeneous gravity field) and variables which are...
Homework Statement
A pumpkin was dropped from a balcony of a skyscraper. The pumpkin happened to land on a sidewalk force sensor and the below data was collected. The pumpkin weighs 2.7kg.
a) From what height was the pumpkin dropped?
b) From what floor of the skyscraper was the...
Why Sea Level sometimes gives you an illusion being at height like a small mountain? Specially when you are driving down of the mountain? Please find the attached image to see what I am referring to.
Homework Statement
A mass m is suspended by a light elastic string. When the mass remains at rest it is at a point 0, which is a distance a + b below the point from which the string is suspended from the ceiling, where a is the natural length of the string. The mass is pulled down a distance h...
Homework Statement
In order for the enterprise to use its transporter it must be in synchronous orbit over the beam-down point. What heigh above the planet Mars must the enterprise be for a synchronous orbit?
Homework Equations
Please, can someone tell me for future reference what I should use...