How Much Work is Required to Stretch a Series of Strings?

AI Thread Summary
To calculate the work required to stretch a series of springs from their equilibrium position, the formula W = (1/2)kx^2 is used. The value of k for two springs in series can be determined using the equation k = 1/(1/k1 + 1/k2). This approach allows for the correct calculation of the total spring constant for the system. Once k is established, the work done can be accurately computed. The discussion confirms the method for finding k is correct.
BraedenP
Messages
94
Reaction score
0

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. Am I right in calculating that k for the entire system of two springs will be \frac{1}{\frac{1}{k_1}+\frac{1}{k_2}}?

If so, then I should be able to answer my question.
 
Physics news on Phys.org
Yes that would be correct.
 
Thread 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
View full post »
Thread 'A cylinder connected to a hanged mass'

Thread 'A cylinder connected to a hanged mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

Stretching of a rotating spring
Replies
8
Views
2K
Time period of SHM & Energy conservation in pulley-spring-block system
Replies
24
Views
3K
A block dropping onto a spring system
2
Replies
58
Views
2K
Torque in a parallel combination of springs
Replies
8
Views
1K
Combining springs to match Force vs Extension Graph
Replies
2
Views
2K
Understanding the Effective Spring Constant
Replies
22
Views
4K
Heat transfer in series and parallel
Replies
11
Views
9K
Vertical spring & maximum length
Replies
6
Views
966
How much work is required to stretch a spring by an additional 4.0 cm?
Replies
2
Views
7K
Pan suspended by a spring (Energy + SHM)
Replies
20
Views
3K

Hot Threads

Recent Insights

Back
Top