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An estimated force–time curve for a baseball struck by a bat is shown in the figure below. Let Fmax = 16 000 N, ta = 1.5 ms, and tb = 2 ms. From this curve, determine each of the following. (a) the magnitude of the impulse delivered to the ball (b) the average force exerted on the ball

An estimated force–time curve for a baseball struck by a bat is shown in the figure below. Let Fmax = 16 000 N, ta = 1.5 ms, and tb = 2 ms. From this curve, determine each of the following. (a) the magnitude of the impulse delivered to the ball (b) the average force exerted on the ball

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 below. Let Fmax = 16 000 N, ta = 1.5 ms, and tb = 2 ms. From this curve, determine each of the following.

(a) the magnitude of the impulse delivered to the ball

(b) the average force exerted on the ball

The image displays a graph representing force (F) as a function of time (t). The vertical axis is labeled \( F(N) \), indicating the force in newtons, while the horizontal axis is labeled \( t(ms) \), showing time in milliseconds. Key Features of the Graph: 1. **Axes**: - The vertical axis (Y-axis) represents force in newtons (N). - The horizontal axis (X-axis) represents time in milliseconds (ms). 2. **Graph Line**: - The graph features a triangular shape. - The force increases linearly from \( t_a \) to \( t_{\text{max}} \) and decreases linearly from \( t_{\text{max}} \) to \( t_b \). 3. **Key Points**: - \( t_a \) and \( t_b \) are the initial and final points where the force is zero. - \( F_{\text{max}} \) is the peak force value at the midpoint of the triangle, indicating the maximum force applied. 4. **Illustration of Dynamics**: - The triangular graph signifies a linear rise to a maximum force \( F_{\text{max}} \) over a time span, followed by a linear decline back to zero. This might represent a scenario where force is gradually applied and then removed. This type of graph is commonly used to describe impulse or a variable force applied over a short duration, such as in physics mechanics problems involving impacts or rapidly changing forces.
Transcribed Image Text:The image displays a graph representing force (F) as a function of time (t). The vertical axis is labeled \( F(N) \), indicating the force in newtons, while the horizontal axis is labeled \( t(ms) \), showing time in milliseconds. Key Features of the Graph: 1. **Axes**: - The vertical axis (Y-axis) represents force in newtons (N). - The horizontal axis (X-axis) represents time in milliseconds (ms). 2. **Graph Line**: - The graph features a triangular shape. - The force increases linearly from \( t_a \) to \( t_{\text{max}} \) and decreases linearly from \( t_{\text{max}} \) to \( t_b \). 3. **Key Points**: - \( t_a \) and \( t_b \) are the initial and final points where the force is zero. - \( F_{\text{max}} \) is the peak force value at the midpoint of the triangle, indicating the maximum force applied. 4. **Illustration of Dynamics**: - The triangular graph signifies a linear rise to a maximum force \( F_{\text{max}} \) over a time span, followed by a linear decline back to zero. This might represent a scenario where force is gradually applied and then removed. This type of graph is commonly used to describe impulse or a variable force applied over a short duration, such as in physics mechanics problems involving impacts or rapidly changing forces.
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