Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Ask your questions and receive precise answers from experienced professionals across different disciplines. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.
Sagot :
The equation that shows the relationship between X₁ and X₂ in the springs is X₁ = 4X₂.
How to compute the equation?
From the complete question, for case I, the two springs stretch up to the distance of X₁. Therefore, f = mg = kx₁.
For case 2, f = mg = kx₂.
Therefore, we'll equate the equations. This will be:
Kx₁ = Kx₂
(K/2)x₁ = (2k)x₂
K(x₁/2) = k(2x₂)
X₁/2 = 2x₂
X1 = 2 × 2x₂
X₁ = 4X₂.
In conclusion, X₁ = 4X₂.
Learn more about equations on:
https://brainly.com/question/2972832
X₁ = 4X₂ is the equation that shows the connection between X₁ and X₂ in the springs.
What is spring force?
The force required to extend or compress a spring by some distance scales linearly with respect to that distance is known as the spring force. Its formula is
F = kx
For case 1;
f=mg=kx₁
For case 2;
f=mg=kx₂
After equating the equation we get;
[tex]\rm Kx_1 = Kx_2 \\\\ \frac{K}{2}x_1 = (2k)x_2 = k(2x_2) \\\\ \frac{x_1}{2} =2x_2\\\\ x_1 = 4x_2[/tex]
Hence X₁ = 4X₂ is the equation that shows the connection between X₁ and X₂ in the springs.
To learn more about the spring force refer to the link;
https://brainly.com/question/4291098
#SPJ4
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.
