Hooke's Law: Two springs in series

In summary, the equation for two springs in series is K= [(1/k1)+(1/k2)]^-1. The force exerted by the two springs can be calculated by adding the forces exerted by each spring separately. The tension of both springs is equal, resulting in the equation k1x1 = k2x2.
  • #1
xxx7r1s7axxx
5
0
[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)
 
Physics news on Phys.org
  • #3
thanks
i looked at it but i don't understand this part

"Meanwhile, the force on the point between the two springs is
Fs = -k1x1+k2(x2-x1)"
 
  • #4
The proof on that website is rather obscure. Instead, try this: What's the force exerted by each spring and by both springs?

F = k1x1 = k2x2 = k(x1 + x2)

Play around with this and you should be able to figure out k in terms of k1 and k2.
 
  • #5
thanks doc al
this might be a stupid question
but k1x1 = k2x2 is it because the tension of both spring are equal?
 
  • #6
Because the force is the same,yes
 
  • #7
kk i think i got it
thanks for helping me =]
 

Related to Hooke's Law: Two springs in series

What is Hooke's Law?

Hooke's Law is a principle in physics that states that the force required to extend or compress a spring by some distance is proportional to that distance.

What is meant by "two springs in series" in Hooke's Law?

In Hooke's Law, two springs in series refer to two springs that are connected end-to-end in a straight line, with the same applied force acting on both springs.

How does the force applied to a spring affect its extension in Hooke's Law?

The force applied to a spring in Hooke's Law directly affects its extension. The greater the force, the greater the extension of the spring.

What is the formula for calculating the force in Hooke's Law?

The formula for calculating the force in Hooke's Law is F = kx, where F is the force, k is the spring constant, and x is the distance the spring is extended or compressed.

What is the relationship between the spring constant and the stiffness of a spring in Hooke's Law?

The spring constant, k, is a measure of the stiffness of a spring. A higher spring constant indicates a stiffer spring, while a lower spring constant indicates a more flexible spring.

Similar threads

  • Introductory Physics Homework Help
Replies
17
Views
362
  • Introductory Physics Homework Help
Replies
17
Views
1K
  • Introductory Physics Homework Help
Replies
2
Views
704
  • Introductory Physics Homework Help
Replies
3
Views
478
  • Introductory Physics Homework Help
Replies
12
Views
278
  • Introductory Physics Homework Help
Replies
4
Views
2K
  • Introductory Physics Homework Help
2
Replies
35
Views
2K
  • Introductory Physics Homework Help
Replies
17
Views
1K
  • Introductory Physics Homework Help
Replies
2
Views
3K
  • Introductory Physics Homework Help
Replies
17
Views
1K
Back
Top