A constant applied force Fp of 15.0 N pushes a box with a mass m = 6.00 kg a distance x = 15.0 m across a level floor. The coefficient of kinetic friction between the box and the floor is 0.150. m X

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Chapter1: Units, Trigonometry. And Vectors
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### Problem Statement

A constant applied force \( F_p \) of 15.0 N pushes a box with a mass \( m = 6.00 \, \text{kg} \) a distance \( x = 15.0 \, \text{m} \) across a level floor. The coefficient of kinetic friction between the box and the floor is 0.150.

### Diagram Description

- The diagram shows a box of mass \( m \) being pushed across a floor.
- An arrow labeled \( F_p \) indicates the direction of the applied force.
- The distance \( x \) from the start to the end point is marked as 15.0 m.

### Questions

1. **Assuming that the box starts from rest, what is the final velocity \( v_f \) of the box at the 15.0 m point?**
   
   \[
   v_f = \, \_\_\_\_\_\_\_\_\_\_\_\_ \, \text{m/s}
   \]

2. **If there were no friction between the box and the floor, what applied force \( F_{\text{new}} \) would give the box the same final velocity?**

   \[
   F_{\text{new}} = \, \_\_\_\_\_\_\_\_\_\_\_\_ \, \text{N}
   \]
Transcribed Image Text:### Problem Statement A constant applied force \( F_p \) of 15.0 N pushes a box with a mass \( m = 6.00 \, \text{kg} \) a distance \( x = 15.0 \, \text{m} \) across a level floor. The coefficient of kinetic friction between the box and the floor is 0.150. ### Diagram Description - The diagram shows a box of mass \( m \) being pushed across a floor. - An arrow labeled \( F_p \) indicates the direction of the applied force. - The distance \( x \) from the start to the end point is marked as 15.0 m. ### Questions 1. **Assuming that the box starts from rest, what is the final velocity \( v_f \) of the box at the 15.0 m point?** \[ v_f = \, \_\_\_\_\_\_\_\_\_\_\_\_ \, \text{m/s} \] 2. **If there were no friction between the box and the floor, what applied force \( F_{\text{new}} \) would give the box the same final velocity?** \[ F_{\text{new}} = \, \_\_\_\_\_\_\_\_\_\_\_\_ \, \text{N} \]
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