Spring constant Definition and 447 Threads

Homework Statement Calculate the spring constant of a spring with an electron mass at itsend and the frequency 4.9X10^14 Hz. mass of electron: 9.11X10^-31 g Homework Equations F=kx k=mg/x The Attempt at a Solution Since i know the frequency, i can get the period, but where i am...

I'm investigating damped oscillations using a mass held between two springs. In the experiment, I measured the spring constant using a method which now doesn't make sense. I measured it by hanging masses from ONE vertical spring and graphing the force exerted by spring (mass times 9.8)...

how would i go about finding k with given values for mass and time? i have seen these equations over and over...but i feel like I am missing something very important that i need..please help me T=2π√(m/k)) F=-kx

Homework Statement A person who weighs 760 N steps onto a spring scale in the bathroom, and the spring compresses by 0.82 cm. a. What is the spring constant? B. What is the weight of another person who compresses the spring by 0.34 cm? Homework Equations FApplied = kx The...

Homework Statement A light spring with spring constant k1 hangs from a second light spring, which has spring constant K2. An object of mass m hangs at rest from the lower end of the second spring. A. Find the total extension distance of the pair of springs. B. Find the effective spring...

Two spheres are mounted on two different identical horizontal springs and rest on a frictionless table (one spring is connected to the left side of a wall with a sphere attached to the other end & the other sphere is connected to the other spring which is connected to the other wall -- both...

Question: A mass of 2kg is suspended from a spring with spring constant k = 4N/m and natural length L = 2m. The mass is also subject to an external downwards force F = 2sin(2t) Newtons. Initially the mass is released at a height 50cm above the equilibrium position. Assume the mass is subject to...

Homework Statement Hey I'm doing a project at school on trampolines trying to calculate how high you will go based on how much force is exerted by the jumper (driving force). The trampoline has 96 springs, not sure if this is relevant or not. To find the spring constant I need to use hooke's...

Help! I'm trying to find the spring constant (k) of a spring using simple harmonic motion. I have a graph of Period^2 vs. Mass. Knowing that T=2*\pi*\sqrt{m/k} How would one find k from the slope of this graph? My linear fit yields: y=5.237x+0.003 5.237 being my slope

The spring of a spring gun has a constant of 6.0. It is compressed 0.0508 meters and a ball weighing 0.009 kg is placed in the barrel against the spring. a. What is the maximum speed of the ball as it leaves the gun? Vf = sqrt (k/m)x Xi = 1.31 m/s b. If it is shot off (horizontally) a 6...

Consider a segment of a molecule of DNA that is a coil with an overall length of 1.6 μm. If the end of the molecule become singly ionized (one end loosing a single electron and the other end gaining a single electron) the helical molecule acts like a spring and compresses 1.10% of its original...

Two air-track carts, one on the left with mass 100g and one on the left with mass 300g) are sliding to the right at 1.0 m/s. There is a spring between them that has a spring constant of 100N/m and is compressed 4.2 cm. There is a string that holds the two carts together. The carts slide past a...

This is a question on my physics homework. If a trampoline has a spring constant of 52000 N/m, how far does it stretch? What equation do I use?

1. George is going to bungee jump from a bridge that is 40.5 m over the river below. The bungee cord has an unstretched length of 27.5 m. To be safe, the bungee cord should stop George's fall when he is at least 2.00 m above the river. Ignoring air resistance, if George has a mass of 75.0 kg...

Homework Statement The question ask for the spring constant if the mass is 2 kg and the Natural Friction is 5 Hz. Homework Equations The Attempt at a Solution I have tried many different things but nothing other than putting in random spring constants into the 1/2pi*sqrt of...

Homework Statement http://img515.imageshack.us/img515/6163/physicscopydi7.gif This is AP Physics C 2003 M2 by the way...Homework Equations Kinematics: vf^2=vi^2+2a(d) The Attempt at a Solution a) Speed of the clay uses kinematics. Clay starts at rest, accelrates at gravity=9.8, and the...

Homework Statement A molecule of DNA lies along a straight line. It is 1.12 μm long. The ends of the molecule become singly ionized; negative on one end, positive on the other. The helical molecule acts as a spring and compresses .4% upon becoming charged. The Coulomb constant is 8.99 X...

Homework Statement A 1.8kg block slides on a rough, horizontal surface. The block hits a spring with a speed of 2.0m/s and compresses it a distance of 0.11m before coming to rest. The coefficent of friction between the block and the surface is 0.560. What is the force constant of the spring...

Homework Statement An elastic cord is 67 cm long when a weight of 57 N hangs from it and is 80 cm long when a weight of 79 N hangs from it. What is the "spring" constant of this elastic cord? Homework Equations F=-Kx The Attempt at a Solution I substituted the numbers into the...

Homework Statement A 147g ball is dropped from a height of 56.5cm above a spring of neglibible mass. The ball compresses the spring to a maximum displacement of 4.45393cm. The acceleration is 9.8m/s^2. calculate the spring force constant k. Answer in units of N/m. Homework Equations...

Homework Statement What should be the spring constant k of a spring designed to bring a 1440 kg car to rest from a speed of 111 km/h so that the occupants undergo a maximum acceleration of 5.0 g? ____N/m Homework Equations F=-kx F=ma V2=v(initial)2 + 2a(x) v=v(initial) + at The...

what would be the best way of finding the constant of a compression spring... the only way i can think of is by placing a known force, which will probably putting like 1kg of weight (9.8N) on the spring and measuring the displacement, the only problem with this is that the spring may bend and it...

3. A certain Spring will stretch 5.0 cm when a force of 12 N is applied to it. a. Calculate its spring constant in its elastic region. I got K=F/X so 12/.5 which comes out to be 2.4 b. If a force of 25 N were applied to the same spring, how much would it stretch? I got x = f/K so...

[SOLVED] Easy Spring Constant Question A particular spring has a force constant of 2.5 x 10^3 N/m. (a) How much work is done in stretching the relaxed spring by 6.0 cm? (b) How much more work is done in stretching the spring an additional 2.0 cm? I am using W=1/2kx^2 but I am not...

[FONT="Verdana"] Folks--- I want a reference(text or journal article) that presents the mathematical derivation of the following formula for the spring constant k of a coiled, ideal spring. k = G*d^4/(8*n*D^3) A Google search was unsuccessful.

The first part of this problem says that a 8.0kg stone rests on top of a spring, and compresses it by 10.0cm. It then asks what the spring constant is. This is the work I did (assuming g = 10m/s^2, not 9.8m/s^2): (8.0kg)(10m/s^2) = 1/2k(10cm)^2; 80N = 50cm; k = 1.6 But, the textbook says...

I have a problem in which a bullet is fired into a wooden block on a spring. At the time of the impact the block and the bullet inter into SHM. I am given amplitude, the mass of both the block and bullet, and the velocity of the bullet and am asked to give the spring constant. I was using...

Homework Statement A compact car has a mass of 1300kg. Assume that the care has one spring on each wheel, that the springs are identical, and that the mass is equally distributed over the four springs. a.) What is the spring constant of each spring if the empty car bounces up and down 1.4...

A spring having constant of 2500N/m is compressed 6.0cm and then additional 2.cm. Then the compressed spring is used to propel a 0.25-kg ball vertically upward. a) The additional work done on the spring in compressing te final 2.0cm was ? b) the maximun heignt of the ball was part...

Hello! I am having trouble with a simple concept...trying to figure out the signs of net force of a mass on a spring. I understand that for a mass on the spring, there is a downward force of gravity (mg) and upwards restoring force of the (-kx). How do we equate these, if we regard the...

Homework Statement A spring is suspended vertically parallel to a meterstick. When a 170-g mass is attached to the bottom of the spring, the spring stretches until its bottom is adjacent to the 80-cm mark on the meterstick. When a 760-g mass is then used to replace the 170-g mass, the bottom...

A spring constant stores 25J of energy when compressed by 7.5cm a) Find the spring constant b) Find the force to compress the distance

Homework Statement True or False Quadrupling the mass will double the period. Tripling the amplitude will sextuple the frequency. Doubling the amplitude will not change the frequency. Halving the amplitude will quadruple the frequency. Doubling the spring constant will halve...

Homework Statement A 2.9 kg block is released from rest and allowed to slide down a frictionless surface and into a spring. The far end of the spring is attached to a wall, as shown. The initial height of the block is 0.32 m above the lowest part of the slide and the spring constant is 442...

Hi, I have to determine the spring constant for a diatomic molecule. I have the frequency in cm^-1 which is 1395. I know the relation between the angular frequency and spring constant so I use the following relation: omega = 2*pi*c*v = sqrt(k/mu) so I isolate for k = mu*(2*pi*c*v)^2 mu...

A 2.0kg mass attached to a spring makes 10 oscilations in 21.6s; its amplitude is .0320m Find spring constant k. My question about this part is frequency=(#of oscillations)/(#of seconds to complete) right? So f=10/21.6s =2.16Hz? So if k=m\omega^2 k=2(2\pi*2.16)^2 IT's the wording that...

Homework Statement Two charges Qa = 3 µC and Qb = -3 µC are placed on the x-axis with a separation of a = 21 cm. (a) Find the net electric field at point P, a distance d = 13 cm to the left of charge Qa. This is no prob = -1364069.13N (b) Find the force on Qb due to Qa . No prob...

Homework Statement A tiny sphere with a charge of q = +6.1 µC is attached to a spring. Two other tiny charged spheres, each with a charge of -4.0 µC, are placed in the positions shown in the figure, in which b = 3.6 cm. The spring stretches 5.0 cm from its previous equilibrium position...

units ?? Homework Statement This should be straightforward but I'm not sure what to do. If I make a graph and the Y axis is in cm, and the X is in g, does cm/g make sense? I'm trying to find the spring constant 'k' by using the slope of my graph. When I do this I get a huge number so...

This is my first time here! Thanks for the help in advance. The staples inside a stapler are kept in place by a spring with a relaxed length of 0.115 m. If the spring constant is 45.0 N/m, how much elastic potential energy is stored in the spring when its length is 0.145 m? Answer in...

Homework Statement A mass m hangs from a spring with stiffness constant k. The spring is cut in half and the same mass hung from it. WIll the new arrangement have a higher or a lower stiffness constant than the original spring? Homework Equations F= -kx The Attempt at a Solution...

Homework Statement A 1200 kg car rolling on a horizontal surface has speed v=65km/h when it strikes a horizontal coiled spring and is brought to rest in a distance of 2.2m. what is the spring stiffness constant of the spring? Homework Equations K(final)+Us(final)=K(initial)+Us(initial)...

Could anyone please tell me any factors affectin the spring constant k of a spring ?

hi, i am required to find the spring constant of the spring(s) below a typical elevator, you know the big metal springs locater underneath the elevator when it lands on the ground floor right. i have to find the spring constant/stiffness of the springs. anyone knows how to go about doing it...

Homework Statement http://img339.imageshack.us/img339/4518/phys2lh6.gif Homework Equations W= -um2gh m1gh=.5Kh^2-um2gh .5K(h)^2 Final Eq?: W=um2g*(2g(m1+um2)/K) The Attempt at a Solution .2(4)9.8*(2*9.8(7+.2(4))/9 = 133.1754667 I don't know if I went wrong in manipulating the...

What should be the spring constant k of a spring designed to bring a 1150 kg car to rest from a speed of 99 km/h so that the occupants undergo a maximum acceleration of 5.0 g? I am unsure of the formula to find the spring constant by determining a maximum acceleration of 5 g

3 identical masses and four identical springs are set up as shown (m=mass ~=spring |=fixed point) |~m~m~m~| the two outside masses are displaced equally inwards. What is the effective spring constant of this system. attempt at solution: using FBDs F=-2kx on each individual outside mass middle...

Homework Statement Two spheres are mounted on identical horizontal springs and rest on a frcionless table, as in the drawing. When the spheres are uncharged, the spacing between them is 0.0500 m, and the springs are unrestrained. When each sphere has a charge of +1.60 microC, the spacing...

Finding the Spring Constant -- Help! Algebra Issues! Molecular bonds can be treated like springs. From the vibrational frequencies of the bonds, one can determine the appropriate spring constants. Hydrogen, H2, has a vibrational frequency of 1.3192 X 1014Hz. Deuterium, D2, is an isotope of...

Well.. I've been understanding spring constants up until this point. I just did a lab on them and understood its effects in parallel and series of springs, and I've understood it in regards to a mass and a coil in which the mass is just hanging from a coil.. but now that there is a tabletop and...