Homework Statement
Given the constants k_1 and k_2 and distance x, determine how much work is required to stretch the spring x from equilibrium position.
Homework Equations
W=\frac{1}{2}kx^2
The Attempt at a Solution
All I need to determine is what my value is going to be for k...
Homework Statement
Will stretch in a string have an effect on the graph of wavelength vs. tension, relative to the same graph using a string without stretch?
Homework Equations
N/A
The Attempt at a Solution
No calculations are required, so I'm assuming that the slope of that graph...
Homework Statement
The force required to stretch a Hooke's-law spring varies from 0 N to 70.7 N as we stretch the spring by moving one end 6.52 cm from its unstresses position. Find the force constant of the spring. answer in units of N/m.
Find the work done in the stretching the spring...
Homework Statement
A spring with spring constant k = 55 N/m and unstretched length of L0 is attached to the ceiling. A block of mass m = 3 kg is hung gently on the end of the spring.
a) How far does the spring stretch?
----------ANSWER: .53509 m
This is the hard part...
**Now the...
I'm in the middle of doing an experiment where I find the heat dissipation by hysteresis through the stretching of an elastic band. I have experimentally found out how much heat is dissipated, but I was wondering if there is a way to theoretically find out the dissipated heat, most likely by...
Homework Statement
A mountain climber is attached to a rope. She slips, and after she has fallen 4.5 m, the rope begins to help decelerate her. If the constant deceleration is 5.2g, how many cm will the rope stretch before she stops? (For most real ropes, the deceleration depends on the...
Homework Statement
A spring has a natural length of 30 cm. If a 21 N force is required to keep it stretched to a length of 35 cm, how much work W is required to stretch it from 30 cm to 41 cm? (Round your answer to the nearest hundredth.)
Homework Equations
41cm-30cm=11cm so its .11m...
Do I understand this?-if I stretch a rubber band from a 1" length to a 2" length...
If I stretch a rubber band from a 1" length to a 2" length, is it true that it was not all possible lengths between 1" and 2" sometime during the stretch?
In other words, at some level, quantization enters in...
Homework Statement
A Tugboat T, having a mass of 19 Mg is tied to a barge B having a mass of 75 Mg. If the rope is elastic such that it has a stiffness k=600kN/m, determine the maximum stretch oin the rope during the initial towing. Original both the tugboat v = 15 km/hr, and the barge v =...
Why is it that the equation for work done to stretch a spring is
W = 1/2k(x22-x12)
while the work done by a spring on an object is
W = 1/2k(x12-x22) ?
That is, how come it's x22-x12 for the first case, and x12-x22 for the second?
Homework Statement
A car is hauling an 88 kg trailer, to which it is connected by a spring. The spring constant is 2350 N/m. The car accelerates with an acceleration of 0.29 m/s^2. By how much does the spring stretch?
Homework Equations
Fx -kx
The Attempt at a Solution
Fx -kx...
Ok, I need some help settling another piano tuner argument.
When a piano string breaks and is replaced with a new one, it takes many
tunings until it becomes stable. It can be brought to the correct pitch, and
will seem to stay there, but in a few days it has dropped in pitch drastically...
Homework Statement
A package of mass 8 kg sits at the equator of an airless asteroid of mass 5.8 105 kg and radius 32 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...
Homework Statement
A spring has k = 88 N/m. Use a graph to determine the work needed to stretch it from x = 4.2 cm to x = 6.2 cm, where x is the displacement from its unstretched length.
Homework Equations
Fs=kx
The Attempt at a Solution
Fs=-kx
=(88)(2)
Fs=176 J
For the Graph...
x(t)=1+2cos(pi/3(t+1))
First i just draw a graph of cos and than... It is just a simple stretch of 1 in the y-direction and a translation of 1 to the left ... correct?
An object, suspended from a vertical spring, oscillates up and down at 5.87 Hz. How much would this object stretch the spring, if it were hanging at rest?
Homework Statement
Recall that the spring constant is inversely proportional to the number of coils in the spring, or that shorter springs equate to stiffer springs. An object is attached to the lower end of a 14-coil spring that is hanging from the ceiling. The spring stretches by 0.160 m...
1. A block of mass 1.5 kg is attached to the end of a vertical spring of force constant k=300 N/m. After the block comes to rest, it is pulled down a distance of 2.0 cm and released.
(a) What is the frequency of the resulting oscillations?
(b) What are the maximum and minimum amounts of...
When we stretch a spring like the one on this link, http://auto.howstuffworks.com/car-suspension3.htm
it tends to obey hookes law (up to a point) - does this mean, like when wires are stretched (which also obey hookes law) the metal of the spring is actually streching and not just being moved...
The force required to elastically stretch a wire is given by:
F= ( l - lo / lo ) EA
where A is the cross-sectional area of the wire, lo is the length of the unstretched wire and l the length of the wire after it is stretched. E is the elastic modulus, sometimes called Young's modulus...
How much will the aluminum stretch
a 3.57 kg mass is supported by an aluminum wire with a length of 2.43 m and a diameter of 2.01mm. How much will the wire stretch?
Young's Modolus for Al= 6.9 * 10^10
First get the cross sectional area of the Al
then plug it into the formula
Y =...