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A player bounces a 0.42-kg soccer ball off her head, changing the velocity of the ball from vi (8.2 m/s )âu + ( -2.3 m/s )ŷ to vf = (5.0 m/s )âê + (3.6 m/s )ŷ. %3D

A player bounces a 0.42-kg soccer ball off her head, changing the velocity of the ball from vi (8.2 m/s )âu + ( -2.3 m/s )ŷ to vf = (5.0 m/s )âê + (3.6 m/s )ŷ. %3D

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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A player bounces a 0.42-kg soccer ball off her head, changing the velocity of the ball from \(\vec{v}_i = (8.2 \, \text{m/s}) \hat{x} + (-2.3 \, \text{m/s}) \hat{y}\) to \(\vec{v}_f = (5.0 \, \text{m/s}) \hat{x} + (3.6 \, \text{m/s}) \hat{y}\). **Explanation:** - **Initial Velocity (\(\vec{v}_i\)):** The soccer ball initially moves with a velocity of 8.2 m/s in the \(x\)-direction and -2.3 m/s in the \(y\)-direction (indicating downwards). - **Final Velocity (\(\vec{v}_f\)):** After bouncing, the ball's velocity changes to 5.0 m/s in the \(x\)-direction and 3.6 m/s in the \(y\)-direction (indicating upwards). This example helps illustrate concepts of momentum and velocity change in physics.
Transcribed Image Text:A player bounces a 0.42-kg soccer ball off her head, changing the velocity of the ball from \(\vec{v}_i = (8.2 \, \text{m/s}) \hat{x} + (-2.3 \, \text{m/s}) \hat{y}\) to \(\vec{v}_f = (5.0 \, \text{m/s}) \hat{x} + (3.6 \, \text{m/s}) \hat{y}\). **Explanation:** - **Initial Velocity (\(\vec{v}_i\)):** The soccer ball initially moves with a velocity of 8.2 m/s in the \(x\)-direction and -2.3 m/s in the \(y\)-direction (indicating downwards). - **Final Velocity (\(\vec{v}_f\)):** After bouncing, the ball's velocity changes to 5.0 m/s in the \(x\)-direction and 3.6 m/s in the \(y\)-direction (indicating upwards). This example helps illustrate concepts of momentum and velocity change in physics.
**Part B** **Question:** What is the magnitude of the impulse delivered to the ball? *Express your answer using two significant figures.* **Input Box:** - A field to enter the value of impulse, denoted as \( J \), with units in kilograms meters per second (kg·m/s). **Options:** - Buttons for various input modes, such as numeric and symbolic input. - Options to undo, redo, and access the keyboard. - A help button indicated by a question mark. **Action Buttons:** - **Submit:** To submit the answer. - **Request Answer:** To request the solution.
Transcribed Image Text:**Part B** **Question:** What is the magnitude of the impulse delivered to the ball? *Express your answer using two significant figures.* **Input Box:** - A field to enter the value of impulse, denoted as \( J \), with units in kilograms meters per second (kg·m/s). **Options:** - Buttons for various input modes, such as numeric and symbolic input. - Options to undo, redo, and access the keyboard. - A help button indicated by a question mark. **Action Buttons:** - **Submit:** To submit the answer. - **Request Answer:** To request the solution.
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