[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...
I have 2 problems that have been giving a bit of trouble since last night when I gave up on them. I found a similar one to the first one on here but I didn't quite understand the equation that was given.
Homework Statement
A student sits on a rotating stool holding two 3.0 kg objects. When his...
Homework Statement
If the initial period is 3.0 s and the mass is reduced to 1/3 of its initial value, what is the new period?Homework Equations
Possibly T=2pi*squareroot(m/k)The Attempt at a Solution
The solution is something close to 1.73. I have no idea what equation to use, even. Any...
I'm trying to write a lab report but I cannot figure out how to derive the formulas for my Theories and Derivations section.
Basically, the set-up was this:
Two springs were attached to either ends of a dynamics cart. Each spring was then attached to a bumper at either end of the dynamics...
1. A 25.0g bullet strikes a .600kg block attached to a fixed horizontal spring whose spring constant is 6.70x10^3 and sets it into vibration with an amplitude of 21.5cm. What is the speed of the bullet before impact if the two objects move together after impact?2. V=A\sqrt{k/m}
3. I used the...
Homework Statement
A block of mass M is resting on a horizontal, frictionless table and is attached as shown above to a relaxed spring of spring constant k. A second block of mass 2 M and initial speed v0 collides with and sticks to the first block.
Develop expressions for the following...
1. A guy us riding a tricycle at 33kg at 12m/s when it strikes a spring and is brought to rest in 1.6m. Compute the proportionality constant and explain the type of energy, types of forces, and Hookes law applied
2.
F = k(elongation)
I am sure there are others.
3. my problem...
Homework Statement
A 50 g ice cube can slide without friction up and down a 30 degree slope. The ice cube is pressed against a spring at the bottom of the slope, compressing the spring 10 cm. The spring constant is 25 N/m. When the ice cube is released, what total distance will it travel up...
Ok, this seems simple, and it probably is, but I'm just not seeing why I'm getting two non-equivalent solutions...
Homework Statement
"A massless platform is supported by 4 equal springs (same length, same spring constant, etc.)
A mass m is placed on the center of the platform causing an...
I'm sure I must be being a bit dim here, but I can't work this out!
I have a mass-spring-damper system, as shown in the attahed picture, in which i have a mass suspended between two springs and dampers, each of which are attached to a fixed surface. he two opposite surfaces are part of the...
Homework Statement
A small block of mass m is pressed up
against a spring. The spring has constant k
and is compressed a distance x. The block
slides along a track up and around a loop
of radius r and down and out on the far
side, as shown. At the top of the loop, the
loop exerts a...
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...
can someone explain to me how springs work?
I already know the equation of elastic pe= 1/2kx^2 but I need more explanation!
how come when a mass is dropped from a hanging spring I can multiply the mass by 9.8m/s^2 to get the force, then divide the answer by the spring's constant (20n/cm) then...
Homework Statement
A 8000 kg freight car rolls along rails with negligible friction. The car is brought to rest by a combination of two coiled springs as illustrated in the figure below. Both springs are described by Hooke's law with k1 = 1600 N/m and k2 = 3000 N/m. After the first spring...
Homework Statement
Determine the natural frequency of the system in the figure (attached). Assume the pulleys are frictionless and are of negligible mass.
Homework Equations
k_eq=k_1+k_2 (springs connected in parallel)
k_eq=(1/k_1)+(1/k_2) (springs connected in series)
omega=sqrt(k/m)...
a 52 N backpack is laying on a table with a spring attached to one side of it where force is applied and the spring stretches. The backpack begins to slide when the spring (k= 150 N/m) stretches by 2.50 cm. What is the coefficient of static friction between the backpack and the table?
i set...
[SOLVED] Simple Harmonic Motion
Homework Statement
A mass rests on a frictionless horizontal table and is connected to rigid supports via 2 identical springs (which obey Hooke's law). Each spring is stretched to a length (l) considerably greater than its rest length. At rest, the mass is...
Homework Statement
A 10kg mass, attached by means of two springs to the ceiling, is held against the floor and is then released. How fast will it be traveling when it hits the ceiling? The spring constant of each spring is 80 N/m, and each spring has an unstretched length of 1 m. Assume that...
Homework Statement
A mass 'm' is attached to the free end of a spring (unstretched = l) of spring constant 'k' and suspended vertically from ceiling. The spring stretches by Δl under the load andd comes to equilibrium position. The mass is pushed up vertically by "A" from its equilibrium...
Homework Statement
A 2.0 kg package is released on a 53.1◦
incline, 4.0 m from a long spring with force
constant 120 N/m that is attached at the
bottom of the incline. The coefficient of
friction between the package and the incline
are µs=0.40 and µk=0.20. The mass of the
spring is...
Homework Statement
hey, this is my first time using this forum and was wondering if i could have some help with this normal modes question.
suspended from a ceiling is in order: a spring of spring constant (k_{2}), a mass (m), a spring with spring constant (k_{1}), and another mass (m)...
Homework Statement
In the parallel spring system, the springs are positioned so that the 30 N weight stretches each spring equally. The spring constant for the left hand spring is 3.2 N/cm and the spring constant for the right-hand spring is 6.6 N/cm.
The diagram is basically 2 springs...
Homework Statement
A cart of mass M rides on four frictionlesly mounted wheels of radius a and mass m'. The top of the cart is sloped at an angle alpha horizontally and a mass m is suspended from the top of the slope of force constant k. m slides without friction up or down the slope.
a)...
I came across an objective question on the topic 'Springs in series and parallel' .. Have i asnwered it correctly?
Q. A Force of 5Kg compresses 2 springs in series by 10 cm. What will be the compression when the same force acts on the same 2 springs but when the springs are in parallel...
1. An 8-kg plunger is released from rest in the position shown and is stopped by the two nested springs; the constant of the outer spring is k1 = 3kN/m and the constant of the inner spring is k2 = 1-kN/m. If the maximum deflection of the outer spring is observed to be 150mm, determine the height...
I ran some simulations with a two mass-three springs oscillator. I found that one mass would oscillate for a while and then almost stop. When that happened the other would start moving back and forth. Is there a way I can predict at what rate the masses will exchange energy?
please help, homework trouble, springs and ocilatory motion!
Homework Statement
The position of a an air-track cart that is oscillating on a spring is given by (16.5cm)cos[(15.0s-1)t].
At what value t after t=0 is the cart first located at x=4.6 cm?
Homework Equations
x=Acos[(angular...
This is a good one.
We all know that in an ideal gas, there is no isothermal potential energy stored when you do work on the gas. Compress the gas: all the work appears as heat, and when you cool to ambient, it's all gone. Compressed ideal gas stores no work EXCEPT as heat.
Now, less well...
Homework Statement
A block with mass M = 5.5 kg rests on a frictionless table and is attached by a horizontal spring (k = 1.5E2 N/m) to a wall. A second block, of mass m = 1.32 kg, rests on top of M. The coefficient of static friction between the two blocks is 0.36. What is the maximum...
I am doing a project on tightly-coupled processive molecular motors. My 1D model consists of motors which literally step discrete step sizes of size U while executing a biased random walk along a filament which moves along its longitudinal axis with negligible drag. The motors are attached to a...
I was just going through the derivation for the equivalent spring constant of two springs (of different stiffness) connected in series, and I realized that there's one thing I don't understand. In the process of this derivation, it is necessary to write down the net force acting on the point...
Help concerning springs.
A 2.00 kg block is attached to a spring of force constant 560 N/m as in Figure. The block is pulled 5.95 cm to the right of equilibrium and released from rest.
(a) Find the speed of the block as it passes through equilibrium if the horizontal surface is...
i added a picture of the problem!
when the body is at point A the spring
is in relaxed status.
it lengths in relaxed statues is 0.6m
then a power P =20N is pulling the body to point B AB=0.25m
i was asked what is his speed when it reaches point B
so i made an equation that the...
A 2 kg block hangs from a spring. A 253g body hung below the block stretches it a further 2.5cm. What's the spring constant? Use g=9.8N/kg. Calculate the value to 1 decimal place and use N/m as your unit.
AND
A 1.8kg block hangs from a spring. A 221g body hung below the block...
A wingless fly of mass m sits on top of a platform of mass M supported by a spring of constant k. At time t the fly decides to jump upwards and by doing so, reaches a maximum altitude of 2d above the equilibrium point of the unloaded spring (i.e. the spring without the platform and fly)...
Homework Statement
This problem has actually been on here twice (with varying numbers) but not yet solved entirely
A 30.0-kg block is resting on a flat horizontal table. On top of this block is resting a 15.0-kg block, to which a horizontal spring is attached, as the drawing illustrates. The...
Homework Statement
A 30.0 kg block is resting on a flat horizontal table. On top of this block is resting a 15.0 kg block, to which a horizontal spring is attached. The spring constant of the spring is 315 N/m. The coefficient of kinetic friction between the lower block and the table is 0.555...
Homework Statement
A car towing a 92 kg trailor with a spring between the car and the trailor. the accelertion of the car is .3. the spring constant is 2300
how far is the spring stretched
Homework Equations
Fs=kx
The Attempt at a Solution
Fs=kx
ma=kx
(92)(.3)=2300x
x=.012m...
Homework Statement
A 30.0 kg block is resting on a flat horizontal table. On top of this block is resting a 15.0 kg block, to which a horizontal spring is attached. The spring constant of the spring is 325 N/m. The coefficient of kinetic friction between the lower block and the table is...
A 520 kg object is released from rest at an altitude of 800 km above the north pole of the earth. Ignore atmospheric friction. The speed of the object as it strikes the earth’s surface, in km/s, is closest to:
a.3.7----b. 2.7---c.1.9-----d. 4.0------e. 2.3
Conservation of energy, where...
Hi all,
I am having difficulty with a question. I would like some guidance.
QUESTION:
A block rests on a frictionless horizontal surface and is attached to a spring. When set into simple harmonic motion, the block oscillates back and forth with an angular frequency of 9.5 rad/s. The drawing...
Alright I am in a high school physics course and my teacher isn't always correct. I asked him if the potential energy for an object at its maximum height after being launched from a spring is equal to that of the potential energy when the object is compressing the spring most(right before it is...
A 500g block is attached to a 60cm long massless spring with spring constant of 40N/m and is at rest with the back of the block at point A on a frictionless table. A horizontal force of 20N is applied to pull the block towards the right. What is the block's speed when the back of the block...
A spring with k = 47 N/m hangs vertically next to a ruler. The end of the spring is next to the 15 cm mark on the ruler. If a 2.7 kg mass is now attached to the end of the spring, where will the end of the spring line up with the ruler marks?
I got the answer to be 141 cm because I thought...
:smile: How do i find the velocity of a block of mass 100 lb being dropped a distance 5 ft onto a spring whose stifness is 100 lbs/ft after the spring has deformed 4 in?
im sure it has somthing to do with work of a spring force but i don't know exactly how. any ideas?
Here is the problem, it is simple:
An air glider is attached to a massless spring, which is compressed 0.18 m from it's relaxed position. Find the velocity of the glider at its original position, and at 0.25 m. Spring constant is 10 N/m, mass of glider is 0.15 kg.
I have solved this...