Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.
Sagot :
The gravitational force acting on the mass is,
[tex]F=mg[/tex]The spring constant of the spring can be given as,
[tex]k=\frac{F}{d}[/tex]Substitute the known expression,
[tex]k=\frac{mg}{d}[/tex]Substitute the known values,
[tex]\begin{gathered} k=\frac{(0.368kg)(9.8m/s^2)}{(12.3\text{ cm)(}\frac{1\text{ m}}{100\text{ cm}})}(\frac{1\text{ N}}{1kgm/s^2}) \\ \approx29.3\text{ N/m} \end{gathered}[/tex]The work done to stretch the spring is,
[tex]W=\frac{1}{2}k(2x)^2[/tex]Here, x is the amount of spring stretched in part (b).
Substitute the known values,
[tex]\begin{gathered} W=\frac{1}{2}(29.3N/m)(2(0.165m))^2(\frac{1\text{ J}}{1\text{ Nm}}) \\ \approx1.60\text{ J} \end{gathered}[/tex]Thus, the work done to stretch the spring is 1.60 J.
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.
