A constant applied force F, of 13.0 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 0.130. F, m Assuming that the box starts from rest, what is the final velocity vf of the box at the 15.0 m point? Uf = m/s If there were no friction between the box and the floor, what applied force Fnew Would give the box the same final velocity? Fnew = N

College Physics
11th Edition
ISBN:9781305952300
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Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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## Problem Statement

A constant applied force \( F_p \) of 13.0 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 0.130.

**Diagram Description**:
- The illustration shows a box labeled with mass \( m \) being pushed by the applied force \( F_p \) to the right over a horizontal surface. The box moves a distance \( x \) of 15.0 meters.

**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?
   \[
   v_f = \boxed{\phantom{0}} \, \text{m/s}
   \]

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?
   \[
   F_{\text{new}} = \boxed{\phantom{0}} \, \text{N}
   \]
Transcribed Image Text:## Problem Statement A constant applied force \( F_p \) of 13.0 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 0.130. **Diagram Description**: - The illustration shows a box labeled with mass \( m \) being pushed by the applied force \( F_p \) to the right over a horizontal surface. The box moves a distance \( x \) of 15.0 meters. **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? \[ v_f = \boxed{\phantom{0}} \, \text{m/s} \] 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? \[ F_{\text{new}} = \boxed{\phantom{0}} \, \text{N} \]
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