# Vectors and Newton's laws

Anonymous
timer Asked: Dec 14th, 2017
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Question description

Watch background videos "Vectors" and "Newtons Laws" available at:

https://www.youtube.com/watch?v=MWrOozSSdW8&list=PL8_xPU5epJddRABXqJ5h5G0dk-XGtA5cZ&index=5

and

respectively.

As you watch it, the answers to the questions (located on the folder labeled "video reports") should become apparent. Write your answers as detailed and completely as possible in a copy of the word document provided in the "Video Reports" folder.

Name: ______________________________________________________________ Newton’s Laws Instructions: Print the guiding questions and use them to write your answers as you read or watch the instructional media (reading, video, radio podcast, computer simulation, etc.). Type the number of the question and your answer (do not re-copy the original question) and send the completed report to Blackboard’s SafeAssign. For all questions, answer in your own words (paraphrase). Answers that are directly copied from any internet source, including the instructional media studied, will receive no credit. Newton’s Laws 1. State (in words) Newton’s second law. 2. In the equation F = ma, what must “F” and “a” always have? 3. Applying F = ma for free falling objects, we can conclude that the force of gravity produces a _____ _____to a mass m. 4. What two forces are always acting on a falling object (after it is released)? 5. State Newton’s first law. 6. What is an alternate way of writing Newton’s second law? 7. State Newton’s third law. 8. In the David and Goliath example, why wasn’t the confrontation as uneven as originally portrayed? 9. According to Galileo, what two types of simultaneous motions do all projectiles have in common? 10. For falling objects, describe the velocity and acceleration for each of the two types of simultaneous motions. 11. What incorrect medieval idea was used to try to explain the motion of projectiles? 12. What is the difference between the contributions of Galileo and Newton to the study of motion? 13. In the “shoot the monkey” experiment, where must the pistol be aimed at for the bullet to reach its target?
Name: ______________________________________________________________ Vectors Instructions: Print the guiding questions and use them to write your answers as you read or watch the instructional media (reading, video, radio podcast, computer simulation, etc.). Type the number of the question and your answer (do not re-copy the original question) and send the completed report to Blackboard’s SafeAssign. For all questions, answer in your own words (paraphrase). Answers that are directly copied from any internet source, including the instructional media studied, will receive no credit. Vectors 1. What is a vector? How is it represented? 2. How do you represent vector with a large or a small magnitude? 3. When two vectors are added together, what is the result? 4. What is vital for reading any map? Why? 5. What two famous scientists developed some of the first coordinate systems? 6. When multiplying a vector by a positive scalar, a new vector is obtained. How the magnitude and the direction of the new vector compare with the old vector? 7. When multiplying a vector by a negative scalar, a new vector is obtained. How the magnitude and the direction of the new vector compare with the old vector? 8. What two famous scientists were the developers of vector algebra? 9. How do you calculate a vector “dot product”? 10. What the “cross product” of two vectors represents? 11. What are unit vectors? How do you represent them? 12. According to the video, which coordinate system is the best?

## Tutor Answer

apradeep92
School: Carnegie Mellon University

HiPlease find attached the solutions in word and PDF format. Please let me know if you need any explanation/help.

Vectors Problems’ solutions:
1.

A vector is a physical quantity, which has both magnitude and direction. It is represented with an
arrow, where length of arrow represents the magnitude of quantity and direction is represented by the
alignment of arrow i.e. by the direction in which, arrow is pointing.

2.

Vector with large magnitude is represented by arrow of larger length and Vector with small magnitude
is represented by arrow of smaller length.

3.

When two vectors are added, resultant is also a vector, whose magnitude need not to be same as sum
of magnitude of two vectors because resultant vector’s magnitude depends on angle between vectors
also.

4.

Coordinate system is vital to read any map, because without the knowledge of coordinate system, it’s
difficult to exactly locate the position of someone or something and in emergency conditions, a guess
of location without the knowledge of coordinates can lead to disastrous results.

5.

Rene Descartes and Pierre De Fermat developed some of the first coordinate systems.

6.

When multiplying a vector by a positive scalar, the magnitude of new vector can be more or less than
the old vector depending on the magnitude of scalar, if magnitude of scalar is more than one,
magnitude of new vector will be more than old vector, if magnitude of scalar is less than one,
magnitude of new vector will be less than old vector and if magnitude of scalar is one, magnitude of
new vector will be same as old vector. The direction of the new vector will be same as the old vector.

7.

When multiplying a vector by a positive scalar, the magnitude of new vector can be more or less than
the old vector depending on the magnitude of scalar, if magnitude of scalar is more than one,
magnitude of new vector will be more than old vector, if magnitude of scalar is less than one,
magnitude of new vector will be less than old vector and if magnitude of scalar is one, magnitude of
new vector will be same as old vector. The direction of the new vector will be opposite to the old
vector.

8.

William Roman Hamilton and Herman Grassmann were the developers of vector algebra.

9.

A vector “dot product” of two vectors A and B calculated from below formula:
dot product A.B = |A|*|B|*cosx,
where |A| and |B| are magnitude of A and B respectively and...

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Anonymous
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