Spring constant Definition and 451 Threads

Homework Statement A 60 kg person drops from rest a distance of 1.20 m to a platform of negligible mass supported by a stiff spring. The platform drops 6 cm before the person comes to rest. What is the spring constant of spring? Homework Equations The Attempt at a Solution...

Homework Statement A 6kg block is released from the top of a 1.0m ramp (frictionless) and slides into a horizontal spring, compressing it 45 cm. Determine the spring constant. Homework Equations PEg = mgh (6*9.8*1) = 58.8 PEs = 1/2kx^2 (1/2*k*.45^2) The Attempt at a...

Hi, I am investigating the effect of changing the spring constant on the time period of Simple Harmonic Oscillations. My first doubt regards one of my control variables. I listed that I should try and maintain air humidity constant, due to the fact it affects air resistance and, therefore...

Hi, How would I go about finding the spring constant of a bundle of nylon rope acting as a torsion spring? I know the length. I don't know the width of the bundle. When twisted I wanted roughly 6cm diameter (is that a wrong method)? I ll be twisting it by 1080 degrees. When twisted...

Homework Statement A mass attached to a spring which is mounted on a turntable. If you wanted to double the angular velocity, but keep the radius of the circle the same, by how much would you change the spring constant? Homework Equations \omega = \frac{v}{r} The Attempt at...

Homework Statement The graph of displacement vs. time for a small mass at the end of a spring is shown in the figure. At t = 0, x = 0.43 cm. If m = 16.9 gram, find the spring constant, k. T = 0.69 seconds Homework Equations F = kx The Attempt at a Solution mg=kx (.0169...

Homework Statement A mass of 1000 kg drops from a height of 10.0 m onto a platform of negligible mass. It is desired to design a spring and damper on which to mount the platform so that it will settle to a new equilibrium position 2.00 m below its original position as quickly as possible...

Homework Statement If a mass (.5 lb) is pushed down a ramp at a constant unknown force into a spring, compressing it 3 inches, what is the spring constant? Homework Equations Mass: .5lb Time: 3 seconds Length of ramp: 28 inches inital height of ramp: 5.5 inches final height: 0 µ...

Homework Statement Here is the question: Homework Equations The Attempt at a Solution I know that SHM is: accel = -(constant) (displacement) Linear from my book says: Ax = Ftotal/m (dont quite get this) Any help? THanks!

1) If a man lifts a 11.0 kg bucket from a well and does 7.00 kJ of work, how deep is the well? Assume that the speed of the bucket remains constant as it is lifted. 2) Hooke's law describes a certain light spring of unstretched length 36.0 cm. When one end is attached to the top of a door...

Homework Statement 200g weight spring unstretched length: 0.238m spring stretched( 200g hanging on spring): 0.305m Problem: Need to find length of a cord long enough so that the 200g weight can have the best bungee jump ever (barely not touching the floor which is 10m high) Homework...

Okay, so hi. I am brand new here at PF and I am signed up to ask this because this site appears to have allot of people who actually care and explain how to answer things. I have a spring and a 200g weight. - The unstretched spring is: 0.238m long - Stretched spring (with 200g weight...

Homework Statement What is the spring constant of a spring in a shock absorber? Also, does a spring constant of 288 N/m sound right for a regular spring such as the one attached?

Homework Statement Two identical cars approach each other on a straight road. The red car has a velocity of 40MPH to the left and the green car has a velocity of 80MPH to the right. A spring is attached to the front bumper so that a head-on collision will be elastic. If the maximum indentation...

Homework Statement The scale is set by Fs = 200 N. We release the block at x = 14.0 cm. How much work does the spring do on the block when the block moves from xi =+8.0 cm to (a)x=+7.0 cm, (b)x=-7.0 cm, (c)x=-8.0 cm, and (d)x=-11.0 cm? xi= initial point x= final point Homework...

Okay so I think the answer should be 180N/m unless the book is wrong and I got 114N/m. Now if there is a mistake in my work shown in the picture it would have to be the height final or height initial. I am going with height inital is the x initial and the height final equals the x final.(I think...

Finding the spring constant of a spring... Homework Statement A mass is hung from a vertical spring. The mass is .200kg, and the spring stretches .086m. Find the spring constant. Homework Equations ΔE=ΔKE+ΔUg+ΔUs The Attempt at a Solution I first broke up the equation, to see...

Homework Statement What should be the spring constant k of a spring designed to bring a 1260 kg car to rest from a speed of 88 km/h so that the occupants undergo a maximum acceleration of 5.0 g? Homework Equations F=ma v2=v02 + 2a(x-x0 F=-kx The Attempt at a Solution...

Homework Statement The left side of the figure shows a light (`massless') spring of length 0.300 m in its relaxed position. It is compressed to 67.0 percent of its relaxed length, and a mass M= 0.190 kg is placed on top and released from rest (shown on the right)...

Homework Statement A 142 g ball is dropped from a height of 62.2 cm above a spring of negligible mass. The ball compresses the spring to a maximum displacement of 4.35501 cm. acceleration due to gravity is 9.8. Calculate the the spring force constant K. Homework Equations Hooke's law...

Homework Statement I need to calculate the spring constant of a torsion spring. Turns : 20 Mean Diameter : 6mm Wire Diameter : 2mm Material : ASTM A228 Arm Length : will be negligible, as they will be fixed Orientation : Arms inlineHomework Equations k=\frac{Ed^4}{10.8DN} The Attempt at a...

Dear experts, I would like to know the formula to achive a given spring constant for example 10.90 N/m. or is there any url where I can get the source code, which can take the spring constant as input and provide the different options/ parameters to achive the same. Please execuse...

Homework Statement A car with mass m rolls d down a frictionless \theta^0 degree incline. If there is a horizontal spring at the end of the incline, what spring constant is required to stop the car in a distance of x? The Attempt at a Solution...

there is a block on a slope (that is compressing a spring) and it is released and fired up the slope towards an inverted pendulum (that's leaning on the end of the slope) with just enough speed that the combination reaches (Theta)=0 degrees with no speed. Find the Spring constant the angle of...

Homework Statement The experiment the class did was about spring constant and Hooke's Law. The spring was set vertically and we were to hang the pendulums at the end of the spring and measure the extended length to figure out the spring constant. and I'm trying to find out why the data...

Homework Statement 68kg bungee jumper standing on a 46m platform above the ground. The bungee cord has no effect for 9m(ie natural cord length is 9m) when the bungee jumper is more than 9m away the spring constant is k=66N/m a)what is his speed after falling 9m from the platform...

Homework Statement A spring has a spring constant k. If the spring is cut into two equal parts, what is the spring constant of both of the new springs?Homework Equations The Attempt at a Solution I was wondering if this sort of problem relates to circuits. A spring cut into two is sort of like...

Homework Statement In the time interval (t + δt, t) the Hamiltonian H of some system varies in such a way that |H|ψi>| remains finite. Show that under these circumstances |ψi> is a continuous function of time. A harmonic oscillator with frequency ω is in its ground state when the stiffness of...

Homework Statement Basically I have to find two methods to show Hooke's Law by finding the spring constant of a spring. This is one method we did: We basically measured the length of the spring. This is your initial spring length. Then make one end of the the spring stationary and connect the...

To stretch a spring a distance of 0.20m 30J of work is done. What is the value of the spring constant k of the spring? a)6 b)30 c)150 d)1500 e)none of the above I know that the answer is D 1500 but I can't quite arrive at that. The two formulas I thought to try were F=-kx and...

Hey I am doing a practical on the spring constant of a rubber band, we have studied hooke's law and from that found that the spring constant of a spring is well F = -kx so F is proportional to x. While i did the same experiment with a rubber band, hung it on a clamp connected to a retort...

Homework Statement A "mass less" spring has a length of 0.350 m in its relaxed position. It is compressed to 70.0 percent of its relaxed length, and a mass M= 0.150 kg is placed on top and released from rest. Find the spring constant Homework Equations mgh=1/2kx2 The Attempt at a...

Homework Statement The suspension of a car (mass= 2000kg) sags a distance of 10cm when the weight of the entire car is placed on it. Also, the amplitude of its oscillations decrease by a factor of 50% over 3 complete oscillations. a) Find the spring constant(k) b) Find the damping constant(b)...

Equivalent spring constant... Homework Statement This is a general doubt i have...when two springs of spring constants k1 and k2 are connected in series the equivalent k is given by 1/k=1/k1+1/k2 and when they are in parallel it is k=k1+k2...Now in these cases do we assume that the natural...

Today's cars have elastic bumpers that are designed to compress and rebound without any physical damage at speeds below about 5 mi/h (8 km/h). The material of the bumpers behaves essentially as an ideal spring up to that point but permanently deforms beyond that. If the compression corresponding...

Homework Statement The potential energy stored in the compressed spring of a dart gun, with a spring constant of 62.50 N/m, is 0.540 J. Find by how much is the spring is compressed. Homework Equations I know that F=-k*change in x and also spring= 1/2kx^2 The Attempt at a Solution...

Homework Statement A spring having a free height of 4.25 inches is only 3.15 inches high when it supports a load of five pounds. What is the spring constant? Homework Equations k = (w2-w1)/(x2-x1) The Attempt at a Solution K = (5-0)/(4.25-3.15) = 4.55 lb/in the book gives the...

Homework Statement A bungee jumper with a mass of 77.0kg, jumps from a high bridge. He just touches the water in the river below and after reaching this lowest point, he oscillates up and down, hitting the lowest point another 8 times in 48.0 seconds. Calculate the spring constant of the...

Homework Statement Two 47 blocks are held 30 above a table. As shown in the figure, one of them is just touching a 30-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...

Hello everyone. I have a problem...I'm calculating natural frequency of a standing cylinder. In order to do that, I need the ke - equivalent spring constant of that cylinder. ke = (EY * s) / (h) EY is Young's elastic modulus for material cylinder's made of s is the cross section of...

Spring Constant Question...please help! Hello .I have an annoying question here...A 9 kg mass attached to a spring with spring constant 4 N/m. At time t=0 and external force F(t)=10sin(3t) N is applied to the mass. The damping coefficient for the system equals 12 N-sec/m. NOTE: If y(t)...

Ok I have most of this solved but can't get the third part right. Homework Statement A spring of spring constant 128N/m is compressed a distance of 2.0m from its equilibrium position, and used to project a ball of mass 4.0 kg directly upwards. Neglect air resistance. 1. What is the...

Homework Statement An automobile is supported by four wheels. These wheels are connected to the automobile by four springs. When six 68Kg teenagers get into the automobile, it settles closer to the road by 3.2 centimeters. What is the spring constant of each of the springs? If the automobile...

Homework Statement Kate, a bungee jumper, wants to jump off the edge of a bridge that spans a river below. Kate has a mass m, and the surface of the bridge is a height h above the water. The bungee cord, which has length L when unstretched, will first straighten and then stretch as Kate falls...

A graph shows the Force of a spring (y axis) against Displacement (x axis) in a linear function. An obvious point for the gradient is the point (0.5 metres, 140 Newtons). What is the spring constant and how much energy is stored in the spring when it is compressed by 0.5 metres? Hope the...

Homework Statement we did a spring constant lab in school, we took a hanging spring and added weights to it, measuring displacement with each new weight. we were then instructed to create a graph and find the slope. i did that. then we were instructed to find the line of best fit. my line was...

Hi! Well, I need to calculate what K (Spring Constant) my spring should have. I want my spring to be stretched a certain length L, and always go back to its original position (no plastic deformation). Can someone help me? Thanks

Homework Statement The springs of a 1500kg car compress 5mm when its 68kg driver gets into the drivers seat. If the car goes over a bump what will be the frequency of the vibrations? Homework Equations Spring force = F = -kx Time = (4pi^2)(m/k) Freq = 1/T The Attempt at a...

Homework Statement A bug having a mass of 0.20g falls into a spider's web, setting it into vibration with a dominant frequency of 18 Hz. Find the corresponding spring constant. Homework Equations 1. f=\frac{1}{T} 2. \omega=2\pif 3. [natural angular frequency]...

what happens to the spring constant of a spring when it's length is halved? i think it has to change (guessing it is halved) but i don't know the physical reason which explains the change. So, does the spring constant change or not when the length of the spring is changed (to be specific...