**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.- \(\_\_\_\_ \, \text{m/s}^2 \, (\text{in the direction of } F_{\text{tot}})\)

Name: **Problem Statement:**Consider the 65.0 kg ice skater being pushed by
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Description: **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.

Given, mass of the skter, m = 65.0 kg Force F1 = 28.8 NF2 = 18.6 N

Answered: Consider the 65.0 kg ice skater being…

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Consider the 65.0 kg ice skater being pushed by two others shown in the figure. F₁ Ftot F₁ Free-body diagram F₂ F₁

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Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

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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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