Category Archives: Engineering Mathematics Blog

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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Physics for Scientists and Engineers 3rd Edition by Randall Knight, Chapter 1 Conceptual Question 2


How many significant figures does each of the following numbers have?

a)  310

b)  0.00310

c)  1.031

d)  3.10×105


Solution:

Part a

Zeroes before the decimal point merely locate the decimal point and are not significant. Thus, 310 has 2 significant figures

Part b

Trailing zeros after the decimal point are significant because they indicate increased precision. Therefore, 0.00310 has 3 significant figures

Part c

Zeroes between nonzero digits are significant. Therefore, 1.031 has 4 significant figures

Part d

Just like in part b, trailing zeros after the decimal point are significant because they indicate increased precision.Therefore, 3.10×105 has 3 significant figures.


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Physics for Scientists and Engineers: A Strategic Approach Third Edition by Randall D. Knight

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