**Question 2:**The force required to stretch a slingshot by different amounts is shown in the graph below. (a) What is the spring constant of the slingshot?(b) How much work does a child need to do to stretch the slingshot back 15 cm from equilibrium?**Graph Explanation:**- The graph is a linear plot with the force \( F \) in newtons (N) on the y-axis and the displacement \( x \) in meters (m) on the x-axis.- The plot shows a straight line starting from the origin (0,0) and going up to (0.20 m, 80 N).- The slope of the line represents the spring constant \( k \).To find the spring constant \( k \), you can use the slope of the line: \[ k = \frac{\text{Change in } F}{\text{Change in } x} \]Substituting values from the graph:\[ k = \frac{80 \, \text{N}}{0.20 \, \text{m}} = 400 \, \text{N/m} \]For part (b), the work \( W \) done to stretch the slingshot by 15 cm (\( 0.15 \) m) can be calculated using the formula for work done on a spring:\[ W = \frac{1}{2} k x^2 \]Substitute the values:\[ W = \frac{1}{2} \times 400 \, \text{N/m} \times (0.15 \, \text{m})^2 = 4.5 \, \text{J} \]

Answered: Image /qna-images/answer/9b1efb7a-05b0-4c74-803d-de8e9286ce8a.jpg

2) The force required to stretch a slingshot by different amounts is shown in the graph below. (a) What is the spring constant of the slingshot? (b) How much work does a child need to do to stretch the slingshot back 15 cm from equilibrium? F (N) 80 60 40 20 0 Z 0 0.05 0.10 0.15 0.20 x (m)

2) The force required to stretch a slingshot by different amounts is shown in the graph below. (a) What is the spring constant of the slingshot? (b) How much work does a child need to do to stretch the slingshot back 15 cm from equilibrium? F (N) 80 60 40 20 0 Z 0 0.05 0.10 0.15 0.20 x (m)

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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