What is Spring compression: Definition and 97 Discussions
A spring is an elastic object that stores mechanical energy. Springs are typically made of spring steel. There are many spring designs. In everyday use, the term often refers to coil springs.
When a conventional spring, without stiffness variability features, is compressed or stretched from its resting position, it exerts an opposing force approximately proportional to its change in length (this approximation breaks down for larger deflections). The rate or spring constant of a spring is the change in the force it exerts, divided by the change in deflection of the spring. That is, it is the gradient of the force versus deflection curve. An extension or compression spring's rate is expressed in units of force divided by distance, for example or N/m or lbf/in. A torsion spring is a spring that works by twisting; when it is twisted about its axis by an angle, it produces a torque proportional to the angle. A torsion spring's rate is in units of torque divided by angle, such as N·m/rad or ft·lbf/degree. The inverse of spring rate is compliance, that is: if a spring has a rate of 10 N/mm, it has a compliance of 0.1 mm/N. The stiffness (or rate) of springs in parallel is additive, as is the compliance of springs in series.
Springs are made from a variety of elastic materials, the most common being spring steel. Small springs can be wound from pre-hardened stock, while larger ones are made from annealed steel and hardened after fabrication. Some non-ferrous metals are also used including phosphor bronze and titanium for parts requiring corrosion resistance and beryllium copper for springs carrying electrical current (because of its low electrical resistance).
Homework Statement
A horizontal uncompressed spring of constant k= 3 N/m and negligible mass lies on a frictionless floor. The right end of the spring rests against a vertical wall. A block of mass m=0.180 kg with initial velocity v0= 1.0 m/s is incident to the spring from the left. The spring...
Homework Statement
A game uses a spring launcher to shoot a puck with mass of 0.5kg along a frictionless track as shown in the diagram. The spring has a k value of 600 N/m. By how much does the spring need to be compressed to launch the puck and have it go around the inside of the loop...
Homework Statement
A 500g block is dropped from a height of 60cm above the top of a vertical spring whose force constant k = 120 N/m. Find the max. compression of the spring.Homework Equations
Fsp = -kxThe Attempt at a Solution
m = 500, height above horizontal = 60cm, k = 120 N/m
I know the...
Spring compression -- Conservation of Energy
Homework Statement
So far I'm only working on part A. I didn't know whether to create separate posts for each part I had trouble with or just put the whole thing in one post.
Homework Equations
KE = 1/2mv^2
PE = mgh
Uelas = 1/2kx^2The Attempt at a...
Homework Statement
An 840kg roller-coaster car is launched from a giant spring of constant k=31kN/m into a frictionless loop-the-loop track of radius 6.2m. What is the minimum amount that the spring must be compressed if the car is to stay on the track?
Homework Equations
Wspring=0.5kx^2...
Homework Statement
A toy car with a mass of m=.079 kg crashes into a spring with constant k=69 N/m. If the car was going v=1.10 m/s, then how far will the spring compress?
Homework Equations
I think you could use the equation for Elastic Potential Energy but I'm not sure what to do with...
If i were to attach 2 helical springs (of same uncompressed length but different Spring constants) to metal plates on both ends and then apply a compressive stress on one of the plates, will both the springs compress the same? even though they hold a different tendency for compression...
Homework Statement
Homework Equations
The Attempt at a Solution
Here is the work that I've done. This is an even problem in my book so the answer is not given. The professor did gave the answer to this problem as .33m. The most recent answer I got is .4m which means block b...
Homework Statement
A 0.75-kg object rests on a horizontal frictionless surface. It is in a position such that it is compressing a spring with a spring constant of 50 N/m. If the object is released, the object leaves the spring at a speed of 2.30 m/s. How far was the spring compressed...
Homework Statement
A 11kg box slides 4.0m down the frictionless ramp which has an incline of 30o to the horizontal, then collides with a spring whose spring constant is 190 N/m.
a.What is the maximum compression of the spring?
b.At what compression of the spring does the box have its...
Homework Statement
A 506 g block is released from rest at height h0 above a vertical spring with spring constant k = 500 N/m and negligible mass. The block sticks to the spring and momentarily stops after compressing the spring 18.4 cm. How much work is done (a) by the block on the spring and...
Homework Statement
A 0.40kg object connected to a light spring with a force constant of 19.6N/m oscillates on a frictionless horizontal surface. If the spring is compressed 4.0 cm and released from rest, determine (a) the maximum speed of the object.
Homework Equations
F = -kx
The...
Homework Statement
The spring of a gun has a spring constant, k, of 4.0lb/in. When the gun is inclined upward by 30 degrees to the horizontal, a 2.0 oz ball is shot to a height of 6.0 ft above the muzzle of the gun. (a) What was the muzzle speed of the ball? (b) By how much must the spring...
A 2kg block is placed pushing against a spring. The spring is compressed and stores 10 joules of potential energy. The block remains attached to the spring as it oscillates on a frictionless track.
The mass experiences zero acceleration when the spring compression is __________
A. greatest...
Hello everyone
I'm quite confused here and would really appreciate help.
Consider a spring standing upright with a box on top of it. Now according to statics there are two forces acting on the spring: the weight of the box G and the support of the ground -F. But when we calcuate the...
Homework Statement
A mass of 2.3 kg is dropped from a height of 4.82 meters above a vertical spring anchored at its lower end to the floor. If the spring constant is 20 N/cm, how far, to the nearest tenth of a cm, is the spring compressed?
answer is 34.1
Homework Equations
PE = mgh
KE =...
This is my first time posting, but I've done quite a bit of reading around on here, and I admire your guys' intuition/skills for this stuff. Most of you appear to have a real knack for conceptualizing these problems, and I'm jealous ;).
Homework Statement
Two identical blocks, A and B, on...
Homework Statement
Particle A and particle B are held together with a compressed spring between them. When they are released, the spring pushes them apart, and they then fly off in opposite directions, free of the spring. The mass of A is 5.00 times the mass of B, and the energy stored in the...
A 1.5kg object is held 1.2m above a spring with force constant 320N/m. The object is dropped on the spring how far does the object compress the spring?
Alright so what i did was mgh=0.5kx^2 but the answer is different from the book. I guess is when the object touches the spring, its exerting...
1) A 28.86 kg child bounces on a pogo stick. The pogo stick has a spring constant 18016 N/m. When the child makes a nice big bounce, she finds that at the bottom of the bounce she is accelerating upwards at 4.802 m/s2. How much is the spring compressed?
Given:
Mass of Child: 28.86kg
Spring...
here is the problem
A package of mass 6 kg sits at the equator of an airless asteroid of mass 5.7e5 kg and radius 41 m, which is spinning so that a point on the equator is moving with speed 4 m/s. We want to launch the package in such a way that it will never come back, and when it is very far...
Homework Statement
A package of mass 5 kg sits at the equator of an airless asteroid of mass 6.3*10^5 kg and radius 48 m, which is spinning so that a point on the equator is moving with speed 2 m/s. We want to launch the package in such a way that it will never come back, and when it is very...
Given: Load of sacks have total weight of 2250 N and each sack weighs 225 N, how far will each of 2 springs in one system be compressed (spring coeff = 2200 N/m) when a sack is put on it?
Energy init +work=final Energy
2250=1/2(4400)x^2
1.02=x^2
x=1.01
Not sure where to go from here.
Homework Statement
A block of mass m slides on a horizontal frictionless table with an initial speed. It then compresses a spring of force constant k and is brought to rest. How much is the spring compressed x from it's natural length.
Homework Equations
??
Though this is part of my homework I posted it here because it's a general rule that applies to all physics and doesn't contain specific values from my homework.
A block of mass m slides on a horizontal frictionless table with an initial speed. It then compresses a spring of force constant k...
Homework Statement
A 0.10 kg flat wooden block is sitting on a vertical massless spring of spring constant 2000 N/m. An identical block is dropped from a height of 1.00 m above the first block. The collision between the two blocks is perfectly inelastic. How far down is the the spring...
A block of mass m1 = 1.8 kg slides along a frictionless table with a speed of 10 m/s. Directly in front of it, and moving in the same direction, is a block of mass m2 = 4.4 kg moving at 2.8 m/s. A massless spring with spring constant k = 1160 N/m is attached to the near side of m2, as shown in...
Homework Statement
A block of mass m = 2.0 kg is dropped from height h = 55 cm onto a spring of spring constant k = 1960 N/m (Fig. 8-36). Find the maximum distance the spring is compressed.
Homework Equations
PEspring=1/2 kx2 F=-kx PE gravity=mgh KE gravity=1/2mv2
The...
How do you do this? A block of mass m = 2.0 kg is dropped from height h = 55 cm onto a spring of spring constant k = 1960 N/m . Find the maximum distance the spring is compressed.
m
Homework Statement
A block of mass 12.0kg slides from rest down a frictionless 35degree
incline and is stopped by a strong spring with a force constant of
3.00 x 10^4 N/m. The block slides 3.00m from the point of release
to the point where it comes to rest against the spring. When the block...
If you stand on a bathroom scale, spring inside compresses .6mm, and tells your weight is 710 N. Now if you jump on the scale from a height of 1m, what does the read at it's peak?
This is what I tried to do:
I used Hooke's law: F_{}s= k*x
and solved for the k which is spring constant...
Homework Statement
Use work and energy to solve the following. A .1 kg ball is placed against a massless spring that has a stretch constant 50,000 N/m and is compressed 2 m. The spring fires the ball straight up. a) How far did the ball rise assuming no friction? b) The ball's actual rise was...
Homework Statement
A 2.5 kg block slides along a frictionless tabletop at 6.0 m/s toward a second block (at rest) of mass 4.5 kg. A coil spring, which obeys Hooke's law and has spring constant k = 860 N/m, is attached to the second block in such a way that it will be compressed when struck...
A block of mass 0.528 kg slides with uniform velocity of 3.85 m/s on a horizontal frictionless surface. At some point, it strikes a horizontal spring in equilibrium. If the spring constant is k=26.7 N/m, by how much will the spring be compressed by the time the block comes to rest? What is the...
This is Problem 10.46 from the Engineering Physics Book by Knight.
A vertical spring with k = 490 N/m is standing on the ground. You are holding a 5.0 kg block just above the spring, not quite touching it.
a.) How far does the spring compress if you let go of the block suddenly?
b.)...
Homework Statement
An object of mass 10kg is at rest at the top of a frictionless incline. The mass is 2m higher than the elastic spring (k=10 N/cm). What is the objects maximum speed? What is the maximum spring compression?
I think I may have got the answers but I'm not sure. Can someone...
Homework Statement
A 60.kg firefighter slides down a pole while a constant frictional force of 300N retards his motion. A horizontal 20.0kg platform is supported by a spring at the bottom of the pole to cushion the fall. The firefghter stars from rest 5.00m above the platform, and the spring...
A 10kg box slides 4.0m down a frictionless ramp, then collides with a spring whose spring constant is 250 N/m. (Also, the ramp is angled at 30 degrees).
a). What is the maximum compression of the spring?
b). At what compression of the spring does the box have its maximum velocity?
I started...
i have a question in which a train collides with a buffer stop of mass 1.5 tons that asks how far the buffer stop is compressed. this is similar to a block and spring question, except the spring has mass. how is this included in the equation to solve for compression distance?
A 12 kg block slides from rest down frictionless 35 degree incline and is stopped by spring w/ constant of 3.00x10^4 N/m. The block slides 3 m from the point of release to the point of rest against spring, how far has spring compressed?
Now I know this involves the equation Ws= 1/2kxmax2, but...
https://chip.physics.purdue.edu/protected/Halliday6Mimg/h10p33.jpg
A block of mass m1 = 2.5 kg slides along a frictionless table with a speed of 12 m/s. Directly in front of it, and moving in the same direction, is a block of mass m2 = 6.2 kg moving at 3.7 m/s. A massless spring with spring...
Spring Question!
A 250g block is dropped onto a relaxed vertical spring that has a spring constant of 2.5N/cm. The block becomes attached to the spring compresses the spring 12 cm before momentarily stoppoing.
While the spring is being compressed, what work is done on the block by
(a)The...
An ideal spring is used to fire a 15.0-g block horizontally across a frictionless table top. The spring has a spring constant of 20 N/m and is initially compressed by 7.0 cm. The speed of the block as it leaves the spring is:
i do the following:
energy stored by spring: (kv^2)/2= 0.049...
having trouble with this problem... any ideas?
A 2.798-kg block is on a horizontal surface with muk = 0.170, and is in contact with a lightweight spring with a spring constant of 775 N/m which is compressed. Upon release, the spring does 0.969 J of work on the mass while returning to its...
A vertical spring is created by affixing one end of the spring with k=500N/m to the floor. A 2.0kg mass is held .8m above the equlibrium position of the free and of the spring and released from rest. What is the speed of the mass when the spring is compressed .15m?
I need help setting up...
I'm stuck on the following application of integrals:
Question: It requires .05 joule (Newton-meter) of work to stretch a spring from a length of 8 centimeters to 9 centimeters and another .10 joule to stretch it from 9 centimeters to 10 centimeters. Evaluate the spring constant and find the...