Researchers studying the possible effects of "heading" a soccer ball- hitting it with the head- use a force plate to mea- sure the interaction force between a ball and a hard surface. Figure P8.15 shows smoothed data of the force when a 430 g soccer ball is fired hori- Fx (N) 3000+ 2000- 1000- 0- 0 2 FIGURE P8.15 4 6 8 t (ms) zontally at the force plate with a speed of 16 m/s. With what speed does the ball rebound from the plate?

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Chapter1: Units, Trigonometry. And Vectors
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### Educational Content

#### Question 15

**BIO**  
Researchers studying the possible effects of "heading" a soccer ball—hitting it with the head—use a force plate to measure the interaction force between a ball and a hard surface. Figure P8.15 shows smoothed data of the force when a 430 g soccer ball is fired horizontally at the force plate with a speed of 16 m/s. With what speed does the ball rebound from the plate?

#### Figure P8.15 - Explanation  
The graph presents the force \( F_x \) on the vertical axis, measured in newtons (N), plotted against time \( t \) on the horizontal axis, measured in milliseconds (ms). The data points form a triangular shape. 

- **Force Values:** The graph starts at \( F_x = 0 \) N at \( t = 0 \) ms, rises linearly to a peak force of 3000 N at \( t = 4 \) ms, and then decreases linearly back to 0 N at \( t = 8 \) ms.

This indicates that the force increases to its maximum over the first 4 milliseconds and then decreases to zero over the next 4 milliseconds.
Transcribed Image Text:### Educational Content #### Question 15 **BIO** Researchers studying the possible effects of "heading" a soccer ball—hitting it with the head—use a force plate to measure the interaction force between a ball and a hard surface. Figure P8.15 shows smoothed data of the force when a 430 g soccer ball is fired horizontally at the force plate with a speed of 16 m/s. With what speed does the ball rebound from the plate? #### Figure P8.15 - Explanation The graph presents the force \( F_x \) on the vertical axis, measured in newtons (N), plotted against time \( t \) on the horizontal axis, measured in milliseconds (ms). The data points form a triangular shape. - **Force Values:** The graph starts at \( F_x = 0 \) N at \( t = 0 \) ms, rises linearly to a peak force of 3000 N at \( t = 4 \) ms, and then decreases linearly back to 0 N at \( t = 8 \) ms. This indicates that the force increases to its maximum over the first 4 milliseconds and then decreases to zero over the next 4 milliseconds.
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