4. A 15kg box slides down a bumpy track as shown, starting from rest at a point 12.7m above the ground. a) If there is no friction, how fast is the box moving at the bottom? 12.7m b) If friction does -200J of work on the box as it slides, how fast is the box moving at the bottom?

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Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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**Problem 4: Kinematics and Energy**

A 15 kg box slides down a bumpy track as shown in the diagram, starting from rest at a point 12.7 meters above the ground.

**a) If there is no friction, how fast is the box moving at the bottom?**

**b) If friction does -200 J of work on the box as it slides, how fast is the box moving at the bottom?**

**Diagram Explanation:**

The diagram shows a vertical drop of 12.7 meters. At the top of this height, a box is poised to slide down a track that has a bumpy appearance. The box ends at the bottom moving horizontally with a final velocity denoted as \( v \). 

Key Points:
- The initial position is 12.7 meters above the ground.
- The track is bumpy, which may imply varied slopes and curves, but these are not specified quantitatively in this context.
- The questions explore the effects of friction and its absence during motion down the track.
Transcribed Image Text:**Problem 4: Kinematics and Energy** A 15 kg box slides down a bumpy track as shown in the diagram, starting from rest at a point 12.7 meters above the ground. **a) If there is no friction, how fast is the box moving at the bottom?** **b) If friction does -200 J of work on the box as it slides, how fast is the box moving at the bottom?** **Diagram Explanation:** The diagram shows a vertical drop of 12.7 meters. At the top of this height, a box is poised to slide down a track that has a bumpy appearance. The box ends at the bottom moving horizontally with a final velocity denoted as \( v \). Key Points: - The initial position is 12.7 meters above the ground. - The track is bumpy, which may imply varied slopes and curves, but these are not specified quantitatively in this context. - The questions explore the effects of friction and its absence during motion down the track.
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