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C) Create a formula for the gravitational potential energy in each figure a and in figure b based on the reference level you have chosen. D) Apply the Law of Conservation of Energy to solve for the spring constant k of the spring. (Neglect any energy losses during the collision)

C) Create a formula for the gravitational potential energy in each figure a and in figure b based on the reference level you have chosen. D) Apply the Law of Conservation of Energy to solve for the spring constant k of the spring. (Neglect any energy losses during the collision)

College Physics
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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Can you help with C and D please? 

**Recitation 6: Conservation of Energy** A ball of mass \( m = 30 \, \text{g} \) is released from rest at a height \( h = 45 \, \text{cm} \) above a vertical spring whose constant is unknown, as shown in Figure a to the right. The ball strikes the top of the spring and compresses it a distance \( d = 15 \, \text{cm} \) as shown in Figure b. A) Explain the Law of Conservation of Energy in the context of this problem. B) Explicitly choose a “reference level” for the Gravitational Potential Energy in this problem. Describe where you placed your “reference level” and why you picked it. C) Find the reference level of Potential Energy in each figure, a and b, based on the reference level you have chosen. D) Apply the Law of Conservation of Energy to solve for the spring constant \( k \) of the spring. (Neglect any energy losses during the collision.) E) Calculate the speed with which the ball hits the spring using the Law of Conservation of Energy. Why doesn’t the speed of the ball depend on the reference level you have chosen? **Diagram Explanation:** The image contains two diagrams: - **Figure a** shows a ball above a compressed spring at its starting height prior to falling. - **Figure b** illustrates the ball compressing the spring to its maximum compression point.
Transcribed Image Text:**Recitation 6: Conservation of Energy** A ball of mass \( m = 30 \, \text{g} \) is released from rest at a height \( h = 45 \, \text{cm} \) above a vertical spring whose constant is unknown, as shown in Figure a to the right. The ball strikes the top of the spring and compresses it a distance \( d = 15 \, \text{cm} \) as shown in Figure b. A) Explain the Law of Conservation of Energy in the context of this problem. B) Explicitly choose a “reference level” for the Gravitational Potential Energy in this problem. Describe where you placed your “reference level” and why you picked it. C) Find the reference level of Potential Energy in each figure, a and b, based on the reference level you have chosen. D) Apply the Law of Conservation of Energy to solve for the spring constant \( k \) of the spring. (Neglect any energy losses during the collision.) E) Calculate the speed with which the ball hits the spring using the Law of Conservation of Energy. Why doesn’t the speed of the ball depend on the reference level you have chosen? **Diagram Explanation:** The image contains two diagrams: - **Figure a** shows a ball above a compressed spring at its starting height prior to falling. - **Figure b** illustrates the ball compressing the spring to its maximum compression point.
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