(2) A rock with mass 0.15 kg is placed in a sling shot and the elastic band of the sling shot is stretched by 70.0 cm from its relaxed position to store elastic potential energy in it. The spring constant of the elastic band is 28.5 N/m. The elastic band is then released to launch the rock. What is the speed of the rock when it leaves the sling shot if (a) no heat is produced when the elastic band is released? (answer: 9.7 m/s) (b) 2.8 J of heat energy are produced when the elastic band is released? (answer: 7.5 m/s)

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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Conservation of Energy Exercises

**Problem 2: Sling Shot Mechanics**

A rock with a mass of \(0.15 \, \text{kg}\) is placed in a sling shot. The elastic band of the sling shot is stretched by \(70.0 \, \text{cm}\) from its relaxed position to store elastic potential energy in it. The spring constant of the elastic band is \(28.5 \, \text{N/m}\). The elastic band is then released to launch the rock. What is the speed of the rock when it leaves the sling shot if:

(a) No heat is produced when the elastic band is released?  
*(answer: \(9.7 \, \text{m/s}\))*

(b) \(2.8 \, \text{J}\) of heat energy are produced when the elastic band is released?  
*(answer: \(7.5 \, \text{m/s}\))*
Transcribed Image Text:**Problem 2: Sling Shot Mechanics** A rock with a mass of \(0.15 \, \text{kg}\) is placed in a sling shot. The elastic band of the sling shot is stretched by \(70.0 \, \text{cm}\) from its relaxed position to store elastic potential energy in it. The spring constant of the elastic band is \(28.5 \, \text{N/m}\). The elastic band is then released to launch the rock. What is the speed of the rock when it leaves the sling shot if: (a) No heat is produced when the elastic band is released? *(answer: \(9.7 \, \text{m/s}\))* (b) \(2.8 \, \text{J}\) of heat energy are produced when the elastic band is released? *(answer: \(7.5 \, \text{m/s}\))*
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