We appreciate your visit to A very large mass spring system has a stiffness of 193 N m and a mass of 0 44 kg It is oriented horizontally atop. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Final answer:
To find the maximum stretch of the spring, we can use the conservation of mechanical energy and the equation for potential energy of a spring. The maximum stretch of the spring is approximately 0.41 m.
Explanation:
To find the maximum stretch of the spring, we can use the conservation of mechanical energy. The initial energy of the system is the sum of the potential energy stored in the compressed spring and the kinetic energy of the mass.
Using the equation ΔE = ΔPE + ΔKE, we can equate the change in energy to zero. Rearranging the equation gives us ΔPE = -ΔKE. We can calculate the change in kinetic energy using the equation ΔKE = (1/2)mv^2, where m is the mass of the system and v is the initial speed. Plugging in the given values, we find that the change in potential energy is -0.88 J.
To find the maximum stretch, we can use the formula for potential energy of a spring, PE = (1/2)kx^2, where k is the stiffness of the spring and x is the maximum stretch. Plugging in the known values, we can solve for x. Using the equation 0.88 J = (1/2)(193 N/m)x^2, we find that the maximum stretch of the spring is approximately 0.41 m.
Learn more about Maximum stretch of a mass-spring system here:
https://brainly.com/question/33454870
#SPJ1
Thanks for taking the time to read A very large mass spring system has a stiffness of 193 N m and a mass of 0 44 kg It is oriented horizontally atop. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
