**Title: Energy Analysis of an Oscillating Mass on a Spring**A mass is oscillating horizontally on a spring. At the locations A, B, C, D, and E, photogates are used to measure the speed of the mass as it moves by. The speed is used to calculate the kinetic energy (\(KE\)), and the location of the photogates is used to calculate the elastic potential energy (\(PE_{\text{elastic}}\)). Interpret the chart to determine the missing \(KE\) and \(PE_{\text{elastic}}\) values. Assume all values are exact.**Diagram Explanation:**The diagram features a horizontal spring system with five labeled positions (A, B, C, D, and E) where photogate sensors are placed. The energies are indicated at each position:- **A**: \(A_{PE} = 80 \, J\)- **B**: \(B_{KE} = 40 \, J\), \(B_{PE} = ?\)- **C**: \(C_{KE} = 80 \, J\)- **D**: \(D_{KE} = 20 \, J\), \(D_{PE} = ?\)- **E**: \(E_{PE} = 80 \, J\)The diagram uses circles to represent the potential and kinetic energies at each position, with overlapping sections to indicate combined energies.**Questions:**1. **What is the elastic potential energy \(PE_{\text{elastic}}\) at position B?** \(PE_{\text{elastic}} = \, \, \, \, \, \, \, \) J2. **What is the kinetic energy \(KE\) at position D?** \(KE = \, \, \, \, \, \, \, \) J**Note:** In oscillating systems like this, the total mechanical energy is conserved, meaning the sum of potential and kinetic energy remains constant, typically equal to the maximum potential energy at the points of maximum displacement (here, 80 J).

Energy should conserve during A,B,C,D,E . APE = 80J = PEMax = EPE CKE = K·EMax =80J So, Total Energy = PEMax = KEMax = 80J at B, T·E = 80J T·E = BKE+BP·E = 80 ⇒ 40 + BPE = 80 BPE = 40J at D , DPE = 20J T·E = DPE +DKE 80 = 20+ DKE so , DKE = 60J BPE= 40J , DKE = 60J

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A mass is oscillating horizontally on a spring. At the locations A, B, C, D, and E, photogates are used to measure the speed of the mass as it moves by. The speed is used to calculate the kinetic energy (KE) and the location of the photogates is used to calculate the elastic potential energy (PEelastic). Interpret the chart to determine the missing KE and PEglastic Values. Assume all values are exact. A PE = 80 J BKE = 40 J С EpE DE BPE = ? A CKE = 80 J C DPE = 20 J DKE = ? EPE = 80 J What is the elastic potential energy PEelastic at position B? PEclastic J What is the kinetic energy KE at position D? KE = J E.

A mass is oscillating horizontally on a spring. At the locations A, B, C, D, and E, photogates are used to measure the speed of the mass as it moves by. The speed is used to calculate the kinetic energy (KE) and the location of the photogates is used to calculate the elastic potential energy (PEelastic). Interpret the chart to determine the missing KE and PEglastic Values. Assume all values are exact. A PE = 80 J BKE = 40 J С EpE DE BPE = ? A CKE = 80 J C DPE = 20 J DKE = ? EPE = 80 J What is the elastic potential energy PEelastic at position B? PEclastic J What is the kinetic energy KE at position D? KE = J E.

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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