Hot Springs is a resort city in the state of Arkansas and the county seat of Garland County. The city is located in the Ouachita Mountains among the U.S. Interior Highlands, and is set among several natural hot springs for which the city is named. As of the 2010 United States Census, the city had a population of 35,193. In 2019 the estimated population was 38,797.The center of Hot Springs is the oldest federal reserve in the United States, today preserved as Hot Springs National Park. The hot spring water has been popularly believed for centuries to possess healing properties, and was a subject of legend among several Native American tribes. Following federal protection in 1832, the city developed into a successful spa town. Incorporated January 10, 1851, the city has been home to Major League Baseball spring training, illegal gambling, speakeasies and gangsters such as Al Capone, horse racing at Oaklawn Park, the Army and Navy Hospital, and 42nd President Bill Clinton. One of the largest Pentecostal denominations in the United States, the Assemblies of God, traces its beginnings to Hot Springs.
Today, much of Hot Springs's history is preserved by various government entities. Hot Springs National Park is maintained by the National Park Service, including Bathhouse Row, which preserves the eight historic bathhouse buildings and gardens along Central Avenue. Downtown Hot Springs is preserved as the Central Avenue Historic District, listed on the National Register of Historic Places. The city also contains dozens of historic hotels and motor courts, built during the Great Depression in the Art Deco style. Due to the popularity of the thermal waters, Hot Springs benefited from rapid growth during a period when many cities saw a sharp decline in building; much like Miami's art deco districts. As a result, Hot Springs's architecture is a key part of the city's blend of cultures, including a reputation as a tourist town and a Southern city. Also a destination for the arts, Hot Springs features the Hot Springs Music Festival, Hot Springs Documentary Film Festival, and the Valley of the Vapors Independent Music Festival annually.
Homework Statement
A mass M is confined to move on a smooth, flat, two-dimensional surface. Label the locations on this surface using the Cartesian coordinates (x,y). The mass is attached to two identical springs, each of length l and spring constant k. One spring has one end fixed to the...
Homework Statement
Two blocks (m = 1.22 kg and M = 8.73 kg) and a spring (k = 344 N/m) are arranged on a horizontal, frictionless surface, with m resting on top of M and the spring attached to a wall and M. The coefficient of static friction between the blocks is 0.42. Find the maximum...
Homework Statement
Suppose you were kidnapped and held prisoner by space invaders in a completely isolated room, with nothing but a watch and a pair of shoes (with shoelaces of known length). Explain how you might determine whether this room is on Earth or on the moon.
Homework Equations...
how would u implement kinetic friction and springs into a momentum question?
None of the questions in my textbook shows a momentum+friction/springs question
lets say
Car A (350 kg) is traveling 60 m/s east and car B (400 kg) is traveling 30 m/s west. The collision is completely elastic...
If I have mass-spring system with certain damping factor, what is the expected reduction in the damping if the mass is reduced by 25% and the spring stiffness by 50%? It is clear that the damping will decrease but how much? can anyone helps me in that?
Homework Statement
A block of mass 5kg is attached to a spring with a spring constant, k = 200N/m, and hangs down so that it rests on a table as shown below.(Sorry no picture) This causes the spring to strech by 10 cm from its equilibrium length. Assume the static coefficient of friction...
I have a coupled oscillator system that is three pendulums attached together by two springs. The first part of the problems asks to argue, using symmetry arguments, that there are two "obvious" normal modes: one with w^2=g/l and another with w^2=g/l + k/m. I understand that these two frequencies...
Homework Statement
A rod of length l and mass m, pivoted at one end, is held by a spring at its midpoint and a spring at its far end,on both pulling in opposite directions. The springs have constant k and at equilibrium, their pull is perpendicular to the rod. Find the frequency of small...
Homework Statement
Consider the four block-and-spring systems shown. Each block moves on a horizontal, frictionless table. The blocks all have the same mass and all of the springs are identical and ideal with spring constant k. At the instant shown, each block is released from rest a distance...
Hey guys,
I've nearly finished a little project I've been working on over the last few days. Take a look at these simulations:
1 Joint Springs
2 Joint Springs
In both simulations you begin with an initial joint, press and hold to create new joints. You can also drag joints and, by pressing 1...
Homework Statement
The equilibrium length of a certain spring with a force constant of K = 260N/m is 0.25m
What is the magnitude of the force that is required to hold this spring at twice its equilibrium length?
Homework Equations
Hookes Law F=Kx
The Attempt at a Solution...
Friction/Springs/HELP!
An object of mass m=2.6 kg is traveling on a horizontal surface. The coefficient of kinetic friction between the object and the surface is µk=0.16. The object has speed v=0.65 m/s when it reaches x=0 and encounters a spring. The object compresses the spring a distance...
Homework Statement
A 700 g block is released from rest at height h0 above a vertical spring with spring constant k = 380 N/m and negligible mass. The block sticks to the spring and momentarily stops after compressing the spring 24.0 cm.
(a) How much work is done by the block on the...
[b]1. When seven people whose average mass is 83 kg sit down in a car they find that the car drops down 0.87cm lower on its springs. Then they get out of the car and bounce it up and down. The acceleration of gravity os 9.8m/s^2.
What is the frequency of the car's vibration if its mass (empty)...
So currently I'm in school for Mechanical Engineering, though I got a general question.
I could have sworn that I read in my physics book working up to the point I am now reading that as long as a spring isn't pushed past it's stress point that it should last forever. Though now I have had...
Homework Statement
The spring in the figure (link 1) (a)is compressed by length \Deltax. It launches the block across a frictionless surface with speed v0. The two springs in the figure (link 2) (b) are identical to the spring of the figure . They are compressed by the same length \Deltax...
A toy cannon uses a spring to project a 5.30 g soft rubber ball. The spring is originally compressed by 5.00 cm and has a force constant of 9.00 N/m. When it is fired, the ball moves 16.0 cm through the horizontal barrel of the cannon, and a constant frictional force of 0.0320 N exists between...
In Figure 7-52, two identical springs, each with a relaxed length of 50 cm and a spring constant of 400 N/m, are connected by a short cord of length 10 cm. The upper spring is attached to the ceiling. A box that weighs 105 N hangs from the lower spring. Two additional cords, each 85 cm long, are...
Homework Statement
A spring with k = 40.0 N/m is at the base of a frictionless 30.0° inclined plane. A 0.50 kg object is pressed against the spring, compressing it 0.4 m from its equilibrium position. The object is then released. If the object is not attached to the spring, how far up the...
http://img232.imageshack.us/img232/9219/blockandspringsup8.gif
A block of mass M = 1.5 kg slides between two springs, of spring constant kleft = 30 N/m and kright = 57 N/m. The distance between the relaxed springs is d = 2.8 m. The left spring is initially compressed a maximum of dleft =...
Homework Statement
The two problems below are related to a cart of mass M = 500 kg going around a circular loop-the-loop of radius R = 15 m, as shown in the figures. All surfaces are frictionless. In order for the cart to negotiate the loop safely, the normal force exerted by the track on...
Homework Statement
If a person holds a 30cm spring and compress on it with a force of 100 N (where k = 1000 N/m), by how much is the spring shortened.
Homework Equations
Hooks ' Law: F = -k* deltaX
The Attempt at a Solution
The answer for this is 10 cm: 10 = -1000...
my question is: is there a way to find the work done to a spring when the only variable given is the distance (x)??
Homework Statement
For the pressure gauge, what work is done by the air on the spring?
Homework Equations
W = 1/2kx2
Fx = kx
The Attempt at a Solution
I can't...
Homework Statement
A mass M_1 is suspended by a spring with constant k_1. A second mass M_2 is suspended from the first by a spring with constant k_2. The equilibrium height of the first is y_1 and the equilibrium height of the second is y_2.
I just want to write down the Lagrangian for...
Springs and... mass??
A spring with a force constant of 2.1 x 10^4 N/m compresses 0.035m when stepped on by a boxer. The mass of the boxer is...?
k = 2.1 x 10^4 N/m
x = 0.035m
how would you be able to find the mass for this?
Homework Statement
A 0.450 kg object attached to a spring with a force constant of 8.00 N/m vibrates in simple harmonic motion with an amplitude of 11.0 cm.
Calculate the maximum value (magnitude) of its speed and acceleration.[/B]
The Attempt at a Solution
I found both w and t...
Homework Statement
The problem is that I can't find how am I suppose to calculate the suspension - vibrations on the arm of a car (simple beam) that connects the chassis with the wheel, when I have a hydraulic pipe connecting the arm with the chassis. I consider, in a free body diagram, the...
[SOLVED] Springs, Normal Modes, and Center of Mass coordinates
1.) Problem
The problem of the linear triatomic molecule can be reduced to one of two degrees of freedom by introducing coordinates y_{1} = x_{2} - x_{1}, y_{2} = x_{3} - x_{2}, and eliminating x_{2} by requiring that the center...
Homework Statement
A ball of mass 2.5kg is moving to the left along a smooth, horizontal table at 3.5m/s. An idea spring (one that obeys Hooke's Law) with a spring contstant of k=1100N/m, and a relaxed length of 0.3m, is attached to its front. It collides head on with a 4.5 kg ball, initially...
Based on the equation: 1/ktot = 1/k1 + 1/k2
Why is it that the reciprocal of the total spring force is equal to the reciprocals of each spring constants??
I know how to derive the equation, but what is the physics behind it??
The total spring constant is much less than those of the two...
Hello all, newbie here
Google led me to this thread:
https://www.physicsforums.com/showthread.php?t=70094"
which happens to be basically my question. I am doing an investigation on Hooke's Law for my VCE Physics class (Australian year 12, senior school).
Thanks to wikipedia's derivation...
How come both spring and rubber band are elastic whereas spring are contracted and rubber bands are stretched? I understand that elasticity of an object depends on it ability to reform from deform. I also get that spring works b/c of normal force(too much contraction...right?-being the reason...
Hi everyone.
I am attempting to design a harmonically oscillating piston cylinder device and I need to incorporate some mechanical springs. To ensure the device works the way I want it too the relaxed length of the spring needs to be in the middle of the piston stroke.
This means the...
Homework Statement
Ok here it goes, we all know that 2 springs in series (k1, k2) can be expressed as one spring with spring constant k using the following equation.
k=\frac{1}{\frac{1}{k_{1}}+\frac{1}{k_{2}}}
The same holds for 2 dampers c1 and c2...
Homework Statement
A rigid rod of mass m and length l is suspended from two identical springs of negligible mass such that one spring is attached at either end of the rod. The upper ends of the springs are fixed in place and the springs stretch a distance d under the weight of the suspended...
I use to wonder why beds have springs in them. Was it because it is better for the back? No , a springless bed with an ordinary mattress is better for the back?
Then I realized what it's for... love making.
Is this correct? Why else would you have springs in beds?
Homework Statement
A 3 kg block collides with a massless spring of spring constant 99 N/m attached to a wall. The speed of the block was observed to be 1.5 m/s at the moment of collision.
(3 of 3) Given: the coefficient of static friction between the floor and the block is .703416. Does...
Homework Statement
In the figure below, we must apply a force of magnitude 89 N to hold the block stationary at x = -2.0 cm. From that position we then slowly move the block so that our force does +4.0 J of work on the spring-block system; the block is then again stationary. What is the...
Hi, I Need to know exactly how to solve this...I just can't take it anymore. The only reason I'm so into it now is because I don't get it. I promised my girlfriend I would help her and now she's annoyed because I get more into it than she does. But anyway, someone..PLEASE tell me what has to be...
Springs, Kinetic Friction, and Distance...help me please
1. In the figure below a 1.4 {\rm kg} block is held at rest against a spring with a force constant k = 740 {\rm N/m}. Initially, the spring is compressed a distance d. When the block is released, it slides across a surface that is...
A spring with spring constant k=340 N/m is used to weigh a 6.7 KG fish. How does the spring stretch?
I used Hooke's law (F=-Kx), but ended up having a negtive distance x=-0.2m. Is this expected? in the problem they say the spring stretches...this is confusing me...thank you for your help guys...
[SOLVED] Maximum speed of object between 2 springs
Homework Statement
A 1.50 kg box moves back and forth on a horizontal frictionless surface between two different springs, as shown in the accompanying figure. The box is initially pressed against the stronger spring, compressing it 4.00 cm...
Greetings,
Can you recommend a website or sites that has worked examples and discussion of harmonic motion with 2+ springs in various configurations?
Thanks
Sparky
Homework Statement
Two springs, with force constants k1 and k2, are connected in series, as shown in the figure
How much work is required to stretch this system a distance x from the equilibrium position?
Homework Equations
W=1/2kx^2
The Attempt at a Solution
I have no idea how...
[SOLVED] Springs and Hooke's law
Homework Statement
An unstretched spring has a force constant of 1200 N/m. How large a force and how much work are required to stretch the spring by 1.00 m from its unstretched length?
Homework Equations
F= -k*s
W= F * s
The Attempt at a Solution...
Homework Statement
The ball launcher in a pinball machine has a spring that has a constant of 1.2 N/cm. The surface on which the ball moves is inclined 10 degrees with respect to the horizontal. If the spring is initially compressed 5.0 cm, find the launching speed of a 100g ball when the...
Homework Statement
This is from Advanced Physics by Adams and Allday. Spread 3.34, Q 3.
A friction-free trolley of mass 2 kg is tethered to rigid supports at each end by two identical springs of spring constant 20 N/m each. The springs obey Hooke's law and remain in tension as the trolley...
Homework Statement
For a mass m hung vertically from a spring with spring constant s, the restoring Force is F=-sx where x is the displacement from equilibrium.
a)What are the periods of the two harmonic oscillators i) and ii).
b)Assuming eaqch oscillator is moving with the same...
[SOLVED] Hooke's Law: Two springs in series
can someone explain and prove to me why the equation for two springs in series is
K= [(1/k1)+(1/k2)]^-1 ?
this is how far i got
F= -k ∆x
F= -k (x1+x2)
A massless spring is between a 1-kilogram mass and a 3-kilogram mass, but it is not attached to either mass. Both masses are on a horizontal frictionless table. In an experiment, the 1-kilogram mass is held in place, and the spring is compressed by pushing on the 3-kilogram mass. The 3-kilogram...