Spring constant Definition and 447 Threads

Homework Statement You are designing a delivery ramp for crates containing exercise equipment. The crates of weight 1503 N will move with speed 1.57 m/s at the top of a ramp that slopes downward at an angle 28.7 degrees. The ramp will exert a 721 N force of kinetic friction on each crate, and...

What does the spring constant mean for the overall "stiffness" of a spring? Does a larger spring constant mean the spring would be more difficult to compress or stretch? I know that Hooke's law states that F=-kx, and that the units of k are in N/m, I just want to know what the spring constant means.

Homework Statement An elastic cord is 56 cm long when a weight of 73 N hangs from it but is 81cm long when a weight of 160 N hangs from it. What is the spring constant "k" of this elastic cord? Homework Equations mg=kx The Attempt at a Solution No idea... my teacher doesn't...

Homework Statement A potato gun contains a spring which is compressed a distance of 7.30cm (0.073m) when it is loaded. If the spring's constant is 41N/m, what is the launch speed of a .00321kg piece of potato when the gun is fired? Give the answer in m/s. Homework Equations Power = W/T...

Homework Statement A cylinder of density RhoO, length L, and cross-section area A floats in a liquid of density RhoF with its axis perpendicular to the surface. Length h of the cylinder is submerged when the cylinder floats at rest. Suppose the cylinder is distance y above its equilibrium...

Homework Statement When the block is pulled out to x = +5.0 cm, we must apply a force of magnitude 460 N to hold it there. We pull the block to x = +12.0 cm and then release it. The 3 figures can be described by this. (a) A spring in its relaxed state. The origin of an x-axis has been...

Hello all, for my experiment my group needed to use Hookes spring constant to help us find the energy in the elastics for our contraption we made. We found that the launch speed to be 15.24m/s. I was wondering if this would be changed if we fired at different angle or would the launch velocity...

For number 3, I'm trying to find that spring constant. We know that k=mg/x. So it should be 9.5(9.8)/.13, which is incorrect. However since it is on an incline, we should find the incline aspect of gravity, which I found to be 3.5, but that didnt work either. I've tried a lot of different...

How can we prove that spring constant is always positive??

Homework Statement Consider a 2.5kg mass oscillating at the end of a spring, with the frequency of 1.0Hz. The motion of the mass extends through 0.04m. Homework Equations Determine the spring constant- The Attempt at a Solution I can't find the right equation to set up this...

Spring Constant Question:URGENT Need Help! Hi I am having trouble with this question can someone solve it for me, I have a test tomorrow i really need to get this done. Homework Statement A person building a seismograph (for detecting earthquakes) needs a heavy mass suspended by a long...

Hello All, Again, a funny question is raised: From the following site, I can determine the spring constant K for a compression spring at vertical axis. http://www.roymech.co.uk/Useful_Tables/Springs/Springs_helical.html However, I wonder is there any equation to find the spring constant...

Homework Statement Hey, i need some help here I'm trying to figure out the spring constant for bungee jump Say, I'm 735N and the rope will apparently double in length when i jump off it. I don't know the length of the rope thought. but i do know it does have a spring constant. we are...

Hey, i need some help here I'm trying to figure out the spring constant for bungee jump Say, I'm 735N and the rope will apparently double in length when i jump off it. I don't know the length of the rope thought. but i do know it does have a spring constant. How to find out is the spring...

Homework Statement A man that has a mass of 100kg stands on a platform 10m high. Right next to the platform is a spring of the same height. When the man steps off the platform and steps onto the spring, the spring compresses to 3m in height. What is the work done on the spring? What is the...

Homework Statement A 1.450 kg air-track glider is attached to each end of the track by two coil springs. It takes a horizontal force of 0.700 N to displace the glider to a new equilibrium position, x= 0.290 m. a.) Find the effective spring constant of the system. b.) The glider is...

Homework Statement A car with bad shock absorbers bounces up and down with a period of 1.81 s after hitting a bump. The car has a mass of 1380 kg and is supported by four springs of equal force constant k. Determine a value for k. Answer in units of N/m. Homework Equations T=2pi/w...

Homework Statement A 79.8 g mass is attached to a horizontal spring with a spring constant of 2.66 N/m and released from rest with an amplitude of 39.5 cm. What is the velocity of the mass when it is halfway to the equilibrium position if the surface is frictionless? Answer in units of...

So i have the equation m*(d2x/dt^2)+c*(dx/dt)+kx=0, where d2x/dt^2 is the second derivative. So I'm given that m=10 kg, and k=28 N/m. At time t=0 the mass is displaced to x=.18m and then released from rest. I need to derive an expression for the displacement x and the velocity v of the...

Homework Statement Two 54kg blocks are held 30cm above a table. As shown in the figure, one of them is just touching a 30cm long spring. The blocks are released at the same time. The block on the left hits the table at exactly the same instant as the block on the right first comes to an...

Homework Statement The natural length of the bungee cord is 10m Sam stops falling and first comes to rest momentarily when the length of the bungee cord is 18metres. Height of the tower was calculated to be 19.6metres What is the spring constant of the bungee cord? Homework Equations...

Homework Statement A 7.0 kg mass is hung from the bottom end of a vertical spring fastened to the ceiling. The mass is set into veritcal oscillations with a period of 2.6s Find the spring constant. Homework Equations w = \sqrt{k/m} w = 2pi * f f = 1/T The Attempt at a Solution f =...

I'm working on a lab and part of it requires the calculation of the theoretical spring constant of a spring based on its physical parameters and compare it to the spring constant calculated experimentally. I can calculate k using my experimental data fine, but I can't find anything on...

Homework Statement A mass 1 kg mass is hung from a spring. Calculate the spring constant from the given data. Velocity initial= 3.0 m/s Velocity final= 1.5 m/s. The initial height traveled is 0.1 meters and the final is 0.25 meters. These height values will be negative since i picked my...

Homework Statement You are designing a delivery ramp for crates containing exercise equipment. The crates of weight 1500 N will move with speed 2.2 m/s at the top of a ramp that slopes downward at an angle 23.0 degrees. The ramp will exert a 586 N force of kinetic friction on each crate, and...

A .18 kg block sits against a horizontal spring. A 22 N force is applied by a hand and the spring is compressed .18 m. There is a coefficient of kinetic friction between the table and block of .3. Once the spring is compressed, the force holds the block in place without motion. What is k (spring...

Homework Statement With a block of mass m, the frequency of a block-spring system is 1.5Hz. When 80g is added, the frequency drops to 0.9Hz. Find m and the spring constant k. Homework Equations T=1/f w=2pi/T so w= 2pi*f w^2=k/m so k=mw^2 T=2pi*sqrt(m/k) The Attempt at a...

A spring elongates 0.05m when a 50N is applied to it a) What is the spring constant of the spring b) How long would the spring elongate if a 10kg mass is hung from the spring c) If the energy stored in the spring of parts a) and b) is given by E=0.5kx², how much energy is stored in the...

Homework Statement If 6 J of work is needed to stretch a spring from 10 cm to 12 cm and another 10 J is needed to stretch it from 12 cm to 14 cm, what is the natural length of the spring? Homework Equations Spring constant - f(x) = kx \intab f(x)dx where a,b are initial and ending...

Homework Statement A block attached to a spring with unknown spring constant oscillates with a period of 2.0 seconds. What is the period if a) the mass is doubled? b) the mass is halved? c) the amplitude is doubled? d) the spring constant is doubled? Homework Equations f=1/2pi(square...

Spring Constant and Deformation! Homework Statement If a spring with a constant K were to be cut in half, what would the spring constant be for each half? Homework Equations K = F/x, where F = force applied and x = length of the spring, or deformation. The Attempt at a Solution...

Here is the question: -When a mass of 26 g is attached to a certain spring, it makes 20 complete vibrations in 3.1 s. What is the spring constant of the spring? Answer in units of N/m. My teacher gave me the formula to find the spring constant but i can't seem to get it right!? W=Sq Root of...

Homework Statement An accident safety system uses a spring to absorb the energy of a car before the car collides with a bridge abutment. The vehicle has a mass of 1000kg and the design calls for stopping a car moving at 5m/sec (11.2 mi/hr) in 0.5m. Find the spring constant k Homework...

Homework Statement A 200 g mass elongates a spring 3 cm from its equilibrium position. Find the spring constant (k) of the spring in N/m. An unknown mass is attached to the same spring and set in motion. If the period of oscillation is 3 seconds, find the value of the unknown mass in...

hi, i am preparing for an exam and i am really clueless about this one. an image is attached. The left side of the figure shows a light (`massless') spring of length 0.260 m in its relaxed position. It is compressed to 78.0 percent of its relaxed length, and a mass M= 0.150 kg is placed on...

hi, i am preparing for the test and have the following question. as usual i don't see where my mistake is. an image is attached. A thin uniform rod has mass M = 0.5 kg and length L= 0.55 m. It has a pivot at one end and is at rest on a compressed spring as shown in (A). The rod is released...

1. A mass of 100g is suspended from a light spring and extends the spring by 4cm when the mass in in equilibrium. a) Find the spring constant k of the spring? b) How much elastic energy is now stored in the spring? c) What would be the extension of the spring if a mass of 170g were suspended...

Relativity of spring "constant" Let equal-magnitude, oppositely signed charges be at rest at the Origin and on the y-axis of IRF K. They are held apart by a compressed spring. The force exerted by the spring on either charge is equal and oppositely directed to the electrostatic force...

Homework Statement 16. Suppose that a particle of mass 0.24 kg acted upon by a spring undergoes simple harmonic motion with the parameters given in Problem 1. (a) What is the total energy of this motion? (b) At what time is the kinetic energy zero? At what time is the potential energy...

Homework Statement A molecule of DNA is 2.17 micrometers long. The ends of the molecule becom singly ionized: negative on one end, positive on the other. The helical molecule acts like a spring and compresses 1.00% upon becoming charged. Determine the effective spring constant of the molecule...

Homework Statement A ball is dropped from rest at a height of 50.0m above a spring. After the ball hits, it compresses the spring .340m. Ignoring any non-conservative forces, find the spring constant if the mass of the ball is 4.50 kg. Homework Equations Hooke's law: k = mg/x The...

Homework Statement The left side of the figure shows a light (`massless') spring of length 0.330 m in its relaxed position. It is compressed to 71.0 percent of its relaxed length, and a mass M= 0.210 kg is placed on top and released from rest (shown on the right). The mass then travels...

Homework Statement Hi, I am having some difficulty in this experiment in determining the spring constant. It involves measuring the height the spring figure bounces and each time adding extra weight and recording the differences in the height. I've recorded the data, plotted a graph of...

Homework Statement A series of masses are hung from a vertical spring and the length is measured in each case to the nearest milimeter. Data below: Mass : Spring Length 050g : 40.2cm 100g : 45.8cm 150g : 50.9cm 200g : 56.4cm 250g : 61.4cm 300g : 66.9cm 350g : 73.7cm 400g : 81.2cm I need to...

Homework Statement Electron in a box has 2 sequential energy levels of 1.5 eV and 2.1 eV Calculate the spring constant Homework Equations E[n]=n^2*E[0] Therefore, 2.1/1.5 = 1.4 = (6^2)/(5^2) and the quantum levels are 5 and 6 E[0] = (h^2)(pi^2)/2(m)(L^2) The Attempt at a Solution...

Homework Statement We have a spring that is 30cm with a spring constant of 12000N/m and there is a 65 kg weight put onto this spring. What is the new length of the spring? Homework Equations f = k *changeof* x The Attempt at a Solution I tried to take 65kg times 9.81 to find...

Homework Statement The velocity of a 6 kg particle is found to be well fit by v(t) = 15t^2 + 7 (velocity in units m/s) a) If the particle hits a spring at t = 8 seconds, and compresses the spring 8 cm, what is the spring constant? b) Suppose a particle with twice the mass, but the...

Homework Statement In a physics lab experiment, a compressed spring launches a 31g metal ball at a 25 degree angle. Compressing the spring 19cm causes the ball to hit the floor 2.0m below the point at which it leaves the spring after traveling 5.2m horizontally. What is the spring constant...

A 1300-kg car starts at rest and rolls down a hill from a height of 10.0-m. It moves across a level surface and collides with a spring-loaded guard rail designed to bring the car safely to a stop. The spring has a spring constant of 2.0E6N/m. Neglecting any losses due to friction, and ignoring...

Homework Statement A hydrogen chloride molecule may be modeled as a hydrogen atom (mass: 1.67 x10^-27 kg ) on a spring; the other end of the spring is attached to a rigid wall (the massive chlorine atom). If the minimum photon energy that will promote this molecule to its first excited...