College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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![**Rocket Sled Problem**
A rocket sled accelerates to the right at a rate of \(49 \, \text{m/s}^2\). The passenger has a mass of \(64 \, \text{kg}\).
**Key Concepts:**
The passenger interacts with the seat by applying forces on its back and bottom. The net force affects their interaction. Does the passenger feel a reaction force? What causes their horizontal acceleration?
---
**Questions and Calculations:**
**(a) Horizontal Force Component**
Calculate the horizontal component \( F_h \) of the force the seat exerts:
\[
F_h = ma = 3136 \, \text{N}
\]
**(b) Force to Weight Ratio**
Compare the horizontal force with the passenger's weight:
\[
\frac{F_h}{w} = 4.99
\]
**(c) Vertical Force Component**
Calculate the vertical component \( N \) of the force the seat exerts:
\[
N = \, \text{(value not provided)}
\]
**(d) Total Force and Direction**
Calculate the total force \( F_{\text{net}} \) exerted by the seat, including direction relative to horizontal:
\[
\theta = 11.32^\circ
\]
\[
F_{\text{net}} = 3198.23 \, \text{N}
\]
---
**Diagram Explanation:**
The diagram shows a rocket sled moving horizontally with force arrows indicating the vertical force \( N \) and the weight \( w \). The sled accelerates to the right, illustrating forces acting on the passenger.](https://content.bartleby.com/qna-images/question/464fe16a-00d5-4182-8379-61bd4b8bbe02/727e1f81-6677-4b64-997e-4d7f6c822dbf/82bs4mq_processed.png)
Transcribed Image Text:**Rocket Sled Problem**
A rocket sled accelerates to the right at a rate of \(49 \, \text{m/s}^2\). The passenger has a mass of \(64 \, \text{kg}\).
**Key Concepts:**
The passenger interacts with the seat by applying forces on its back and bottom. The net force affects their interaction. Does the passenger feel a reaction force? What causes their horizontal acceleration?
---
**Questions and Calculations:**
**(a) Horizontal Force Component**
Calculate the horizontal component \( F_h \) of the force the seat exerts:
\[
F_h = ma = 3136 \, \text{N}
\]
**(b) Force to Weight Ratio**
Compare the horizontal force with the passenger's weight:
\[
\frac{F_h}{w} = 4.99
\]
**(c) Vertical Force Component**
Calculate the vertical component \( N \) of the force the seat exerts:
\[
N = \, \text{(value not provided)}
\]
**(d) Total Force and Direction**
Calculate the total force \( F_{\text{net}} \) exerted by the seat, including direction relative to horizontal:
\[
\theta = 11.32^\circ
\]
\[
F_{\text{net}} = 3198.23 \, \text{N}
\]
---
**Diagram Explanation:**
The diagram shows a rocket sled moving horizontally with force arrows indicating the vertical force \( N \) and the weight \( w \). The sled accelerates to the right, illustrating forces acting on the passenger.
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