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.
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
1st Edition
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.
---
**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]*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9e539c53-8ea0-410a-97df-bfbb76ce56a5%2Fa6c2e8b4-e661-4f39-936d-73da022f1e2d%2Fr1ne1r_processed.png&w=3840&q=75)
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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