A 4.5 kg box slides down a 4.5-m -high frictionless hill, starting from rest, across a 1.8-m -wide horizontal surface, then hits a horizontal spring with spring constant 550 N/m. The other end of the spring is anchored against a wall. The ground under the spring is frictionless, but the 1.8-m- long horizontal surface is rough. The coefficient of kinetic friction of the box on this surface is 0.24.

Physics for Scientists and Engineers: Foundations and Connections
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ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter8: Conservation Of Energy
Section: Chapter Questions
Problem 24PQ: A block is placed on top of a vertical spring, and the spring compresses. Figure P8.24 depicts a...
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**Chapter 11**

**Problem 11.56**

A 4.5 kg box slides down a 4.5-m-high frictionless hill, starting from rest, across a 1.8-m-wide horizontal surface, then hits a horizontal spring with spring constant 550 N/m. The other end of the spring is anchored against a wall. The ground under the spring is frictionless, but the 1.8-m-long horizontal surface is rough. The coefficient of kinetic friction of the box on this surface is 0.24.

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**Part A**

What is the speed of the box just before reaching the rough surface?  
Express your answer to two significant figures and include the appropriate units.

\[ v_1 = \text{Value} \, \text{Units} \]

*[Submit] [Request Answer]*

---

**Part B**

What is the speed of the box just before hitting the spring?  
Express your answer to two significant figures and include the appropriate units.

\[ v_2 = \text{Value} \, \text{Units} \]

*[Submit] [Request Answer]*

---

**Part C**

How far is the spring compressed?  
Express your answer to two significant figures and include the appropriate units.

\[ \Delta x = \text{Value} \, \text{Units} \]

*[Submit] [Request Answer]*
Transcribed Image Text:**Chapter 11** **Problem 11.56** A 4.5 kg box slides down a 4.5-m-high frictionless hill, starting from rest, across a 1.8-m-wide horizontal surface, then hits a horizontal spring with spring constant 550 N/m. The other end of the spring is anchored against a wall. The ground under the spring is frictionless, but the 1.8-m-long horizontal surface is rough. The coefficient of kinetic friction of the box on this surface is 0.24. --- **Part A** What is the speed of the box just before reaching the rough surface? Express your answer to two significant figures and include the appropriate units. \[ v_1 = \text{Value} \, \text{Units} \] *[Submit] [Request Answer]* --- **Part B** What is the speed of the box just before hitting the spring? Express your answer to two significant figures and include the appropriate units. \[ v_2 = \text{Value} \, \text{Units} \] *[Submit] [Request Answer]* --- **Part C** How far is the spring compressed? Express your answer to two significant figures and include the appropriate units. \[ \Delta x = \text{Value} \, \text{Units} \] *[Submit] [Request Answer]*
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