College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Concept explainers

Newton's First Law of Motion
If a very smooth ball is rolled down an inclined surface with zero friction, the ball will continue to roll indefinitely for an infinite time, in an attempt to reach to the same height on the opposite hill!
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**Problem Statement:** Consider the 65.0 kg ice skater being pushed by two others as shown in the figure. **Figure Explanation:** - The diagram illustrates three individuals on an ice surface. - Person A exerts force \( F_1 \) horizontally to the right. - Person B exerts force \( F_2 \) vertically upward. - The resultant force \( F_{\text{tot}} \) is depicted by an arrow diagonally upward and to the right, representing the vector sum of \( F_1 \) and \( F_2 \). - There is also a free-body diagram showing the vectors \( F_1 \) and \( F_2 \). --- **Questions:** (a) **Find the direction (in degrees) and magnitude (in N) of \( F_{\text{tot}} \),** the total force exerted on her by the others, given that the magnitudes \( F_1 \) and \( F_2 \) are 28.8 N and 18.6 N, respectively. - \(\text{Direction:} \, \_\_\_\_^\circ \, (\text{counterclockwise from the direction of } F_1 \text{ is positive})\) - \(\text{Magnitude:} \, \_\_\_\_ \, \text{N}\) (b) **What is her initial acceleration (in m/s\(^2\))** if she is initially stationary and wearing steel-bladed skates that point in the direction of \( F_{\text{tot}} \)? (Assume the value of \(\mu_s\) for steel on ice is 0.04.) - \(\_\_\_\_ \, \text{m/s}^2\) (c) **What is her acceleration (in m/s\(^2\))** assuming she is already moving in the direction of \( F_{\text{tot}} \)? Remember that friction is always in the opposite direction of motion or attempted motion between surfaces in contact. - \(\_\_\_\_ \, \text{m/s}^2 \, (\text{in the direction of } F_{\text{tot}})\)
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Transcribed Image Text:**Problem Statement:** Consider the 65.0 kg ice skater being pushed by two others as shown in the figure. **Figure Explanation:** - The diagram illustrates three individuals on an ice surface. - Person A exerts force \( F_1 \) horizontally to the right. - Person B exerts force \( F_2 \) vertically upward. - The resultant force \( F_{\text{tot}} \) is depicted by an arrow diagonally upward and to the right, representing the vector sum of \( F_1 \) and \( F_2 \). - There is also a free-body diagram showing the vectors \( F_1 \) and \( F_2 \). --- **Questions:** (a) **Find the direction (in degrees) and magnitude (in N) of \( F_{\text{tot}} \),** the total force exerted on her by the others, given that the magnitudes \( F_1 \) and \( F_2 \) are 28.8 N and 18.6 N, respectively. - \(\text{Direction:} \, \_\_\_\_^\circ \, (\text{counterclockwise from the direction of } F_1 \text{ is positive})\) - \(\text{Magnitude:} \, \_\_\_\_ \, \text{N}\) (b) **What is her initial acceleration (in m/s\(^2\))** if she is initially stationary and wearing steel-bladed skates that point in the direction of \( F_{\text{tot}} \)? (Assume the value of \(\mu_s\) for steel on ice is 0.04.) - \(\_\_\_\_ \, \text{m/s}^2\) (c) **What is her acceleration (in m/s\(^2\))** assuming she is already moving in the direction of \( F_{\text{tot}} \)? Remember that friction is always in the opposite direction of motion or attempted motion between surfaces in contact. - \(\_\_\_\_ \, \text{m/s}^2 \, (\text{in the direction of } F_{\text{tot}})\)
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