Category Archives: Engineering Mathematics Blog

Physics for Scientists and Engineers 3rd Edition by Randall Knight, Chapter 1 Exercise and Problems 4


a) Write a paragraph describing the particle model. What is it, and why is it important?

b) Give two examples of situations, different from those described in the text, for which the particle model is appropriate.

c) Give an example of a situation, different from those described in the text, for which it would be inappropriate.


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Physics for Scientists and Engineers 3rd Edition by Randall Knight, Chapter 1 Exercise and Problems 3


You’re driving along the highway at 60 mph until you enter a town where the speed limit is 30 mph. You slow quickly, but not instantly, to 30 mph. Draw a basic motion diagram of your car, using images from the movie, from 30 s before reaching the city limit until 30 s afterward.


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Physics for Scientists and Engineers 3rd Edition by Randall Knight, Chapter 1 Exercise and Problems 2


A rocket is launched straight up. Draw a basic motion diagram, using the images from the movie, from the moment of liftoff until the rocket is at an altitude of 500 m.


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Physics for Scientists and Engineers 3rd Edition by Randall Knight, Chapter 1 Exercise and Problems 1


A car skids to a halt to avoid hitting an object in the road. Draw a basic motion diagram, using the images from the movie, from the time the skid begins until the car is stopped.


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Physics for Scientists and Engineers 3rd Edition by Randall Knight, Chapter 1 Conceptual Question 8


Determine the signs (positive or negative) of the position, velocity, and acceleration for the particle in Figure Q1.8.

Figure Q1.8

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Physics for Scientists and Engineers 3rd Edition by Randall Knight, Chapter 1 Conceptual Question 7


Determine the signs (positive or negative) of the position, velocity, and acceleration for the particle in Figure Q1.7.

Figure Q1.7

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Physics for Scientists and Engineers 3rd Edition by Randall Knight, Chapter 1 Conceptual Question 6


Determine the signs (positive or negative) of the position, velocity, and acceleration for the particle in Figure Q1.6.

Figure Q1.6

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Physics for Scientists and Engineers 3rd Edition by Randall Knight, Chapter 1 Conceptual Question 5


Does the object represented in Figure Q1.5 have a positive or negative value of \displaystyle a_y? Explain.

Physics for Scientists and Engineers 3rd Edition by Randall Knight, Chapter 1 Conceptual Question 5

Figure Q1.5


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Physics for Scientists and Engineers 3rd Edition by Randall Knight, Chapter 1 Conceptual Question 4


Does the object represented in Figure Q1.4 have a positive or negative value of \displaystyle a_x? Explain.

Figure Q1.4 Physics for Scientists and Engineers 3rd Edition by Randall Knight

Figure Q1.4


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Physics for Scientists and Engineers 3rd Edition by Randall Knight, Chapter 1 Conceptual Question 3


Is the particle in FIGURE Q1.3 speeding up? Slowing down? Or can you tell? Explain.

Q1.3 Physics for Scientist and Engineers 3rdf Edition by Randall Knight

Figure Q1.3


Solution:

The diagram does not indicate any position in time that should have been represented by numbers on the dots. Without numbers on the dots we cannot tell if the particle in the figure is moving left or right, so we can’t tell if it is speeding up or slowing down. If the particle is moving to the right it is speeding up. If it is moving to the left it is slowing down. 


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