**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.

Answered: Image /qna-images/answer/727e1f81-6677-4b64-997e-4d7f6c822dbf.jpg

1. The rocket sled shown in the figure accelerates to the right at a rate of 49 m/s². Its passenger has a mass of 64 kg. Consider: The passenger pushes the back of the seat and the bottom of the seat. The resultant of the two forces is the net force of the passenger on the seat. Do they experience a reaction force from the seat? What force is responsible for his horizontal acceleration? (a) Calculate the horizontal component of the force F₁, the seat exerts against his body. Fh=ma=3136 N (b) Compare this with his weight by using a ratio. Fh W (c) Calculate the vertical component of the force N the seat exerts against his body. N= X N 4.99 (d) Calculate the direction and magnitude of the total force the seat exerts against his body. Give the angle as measured above the horizontal. 0= 11.32 degrees N F net = 3198.23

1. The rocket sled shown in the figure accelerates to the right at a rate of 49 m/s². Its passenger has a mass of 64 kg. Consider: The passenger pushes the back of the seat and the bottom of the seat. The resultant of the two forces is the net force of the passenger on the seat. Do they experience a reaction force from the seat? What force is responsible for his horizontal acceleration? (a) Calculate the horizontal component of the force F₁, the seat exerts against his body. Fh=ma=3136 N (b) Compare this with his weight by using a ratio. Fh W (c) Calculate the vertical component of the force N the seat exerts against his body. N= X N 4.99 (d) Calculate the direction and magnitude of the total force the seat exerts against his body. Give the angle as measured above the horizontal. 0= 11.32 degrees N F net = 3198.23

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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