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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   N · s (b) the average force exerted on the ball kN

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   N · s (b) the average force exerted on the ball kN

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
  N · s

(b) the average force exerted on the ball kN
The image depicts a graph showing the relationship between force \( F(t) \) in Newtons (N) and time \( t \) in milliseconds (ms). The graph is a triangular shape with the force starting from zero at time \( t_a \), increasing linearly to a maximum force \( F_{max} \), and then decreasing linearly back to zero at time \( t_b \). Key Features of the Graph: - **Axes**: The vertical axis represents the force \( F(t) \) in Newtons, and the horizontal axis represents time \( t \) in milliseconds. - **Linear Sections**: The graph consists of two linear sections. The first section shows force increasing from zero to \( F_{max} \) between \( t_a \) and the peak. The second section shows force decreasing from \( F_{max} \) back to zero between the peak and \( t_b \). - **Maximum Force**: The peak of the triangle is labeled as \( F_{max} \), indicating the maximum force reached within the system. This graph can be typically used in physics education to illustrate concepts related to force-time relationships, such as impulse or changing forces in dynamic systems.
Transcribed Image Text:The image depicts a graph showing the relationship between force \( F(t) \) in Newtons (N) and time \( t \) in milliseconds (ms). The graph is a triangular shape with the force starting from zero at time \( t_a \), increasing linearly to a maximum force \( F_{max} \), and then decreasing linearly back to zero at time \( t_b \). Key Features of the Graph: - **Axes**: The vertical axis represents the force \( F(t) \) in Newtons, and the horizontal axis represents time \( t \) in milliseconds. - **Linear Sections**: The graph consists of two linear sections. The first section shows force increasing from zero to \( F_{max} \) between \( t_a \) and the peak. The second section shows force decreasing from \( F_{max} \) back to zero between the peak and \( t_b \). - **Maximum Force**: The peak of the triangle is labeled as \( F_{max} \), indicating the maximum force reached within the system. This graph can be typically used in physics education to illustrate concepts related to force-time relationships, such as impulse or changing forces in dynamic systems.
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