**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:\[ W = \frac{1}{2} \times 400 \, \text{N/m} \times (0.15 \, \text{m})^2 = 4.5 \, \text{J} \]

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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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Concept explainers

Spring Potential Energy

The potential energy is the energy possessed by a body by virtue of its position or the energy held by the object due to its position relative to other objects, its force like stresses, charge, and other factors affecting the particles of the body. The potential energy is the measure of the net work done by or on the body. The spring potential energy is the potential energy stored due to the deformation of an elastic spring and this elasticity is due to the stretched spring. The elasticity is the ability of a solid-state matter to come back to its equilibrium position or original position after any kind of external force is acted on it. It is also known as Elastic potential energy. The potential energy here is caused due to the displacement of the spring from its equilibrium position to another position and this potential energy is equal to the net work done due to the stretching of the spring. It also resembles the same mechanics of the oscillation of a simple pendulum, where due to the external force, the object moves from its equilibrium position to its maximum ends and the periodic motion continues till it comes back to the equilibrium position to rest. 

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