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Dall = 1.5 ms, and to = 2 ms. From this curve, determine the following. F (N) Fmax À Tigure max

Dall = 1.5 ms, and to = 2 ms. From this curve, determine the following. F (N) Fmax À Tigure max

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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An estimated force-time curve for a baseball struck by a bat is shown in the figure. The values given are \( F_{\text{max}} = 19,000 \, \text{N} \), \( t_a = 1.5 \, \text{ms} \), and \( t_b = 2 \, \text{ms} \). From this curve, the objective is to determine the following: ### Diagram Explanation The graph is a plot of force \( F \) (in Newtons) on the y-axis versus time \( t \) (in milliseconds) on the x-axis. The curve forms a triangle: - The force increases linearly from 0 N at \( t = 0 \) to its maximum value \( F_{\text{max}} = 19,000 \, \text{N} \) at \( t_a = 1.5 \, \text{ms} \). - It then decreases linearly back to 0 N at \( t_b = 2 \, \text{ms} \). ### Calculations (a) **The magnitude of the impulse delivered to the ball:** The given answer is \( 4.75 \, \text{N} \cdot \text{s} \). (b) **The average force exerted on the ball:** The given answer is \( 2.375 \, \text{kN} \) (The entry is marked incorrect in the image). The note prompts: **How do you define a time average of a quantity that varies as a function of time?**
Transcribed Image Text:An estimated force-time curve for a baseball struck by a bat is shown in the figure. The values given are \( F_{\text{max}} = 19,000 \, \text{N} \), \( t_a = 1.5 \, \text{ms} \), and \( t_b = 2 \, \text{ms} \). From this curve, the objective is to determine the following: ### Diagram Explanation The graph is a plot of force \( F \) (in Newtons) on the y-axis versus time \( t \) (in milliseconds) on the x-axis. The curve forms a triangle: - The force increases linearly from 0 N at \( t = 0 \) to its maximum value \( F_{\text{max}} = 19,000 \, \text{N} \) at \( t_a = 1.5 \, \text{ms} \). - It then decreases linearly back to 0 N at \( t_b = 2 \, \text{ms} \). ### Calculations (a) **The magnitude of the impulse delivered to the ball:** The given answer is \( 4.75 \, \text{N} \cdot \text{s} \). (b) **The average force exerted on the ball:** The given answer is \( 2.375 \, \text{kN} \) (The entry is marked incorrect in the image). The note prompts: **How do you define a time average of a quantity that varies as a function of time?**
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