# CHAPTER 0 and 1: Mathematics, Measurements, Vectors 1. What part ...

## Question

CHAPTER 0 and 1: Mathematics, Measurements, Vectors
1. What part of vector addition is the most difficult for you to do?

CHAPTER 2: Motion in a Straight Line
1. What is:
a) the furthest distance that you have traveled in your life (m)
b) the fastest velocity that you have moved (m/s), and
c) the largest acceleration that you have experienced (m/s2)

CHAPTER 3: Motion in a Plane
1. What: is the FASTEST radial acceleration that you have ever experienced from moving in circular motion?
• Describe the circumstances
• How fast you were moving
• The radius of the circle that you were moving in
• The acceleration you experienced in terms of m/s and g

CHAPTER 4: Newton’s law of motion
1. Cars now have steering columns and front bumpers that collapse upon impact in a front end collision. Using the kinematics of ACCELERATION and F = MA explain why that REDUCES the forces on a person in the car in a front end collision.

CHAPTER 5: Applications of Newton’s Law
1. What thing in your life has the LARGEST coefficient of KINETIC friction?
2. What thing in your life has the SMALLEST coefficient of KINETIC friction?

CHAPTER 6: Circular Motion and Gravity
1. List the NAMES of 5 geosynchronous satellites that are over NYC right now!
₋ Galaxy-9
₋ Horizons-2
₋ Echostar-6
₋ Directv-1R
₋ AMC-6

CHAPTER 7: Energy and Work
1. List THREE kinds of ENERGY
2. Besides Gravitational and Elastic, what other kinds of POTENTIAL energy can you think of?

CHAPTER 8: Momentum
1. Give 3 examples where Energy is Conserved in an event
2. Give 3 examples where Energy is NOT Conserved in an event
3. Give 1 example of an event where Momentum is NOT Conserved.

CHAPTER 9 & 10: Rotational Motion and Dynamics
1. What ROTATIONAL concepts are the HARDEST for you to understand and WHY?

CHAPTER 11 & 12: Waves and Periodic Motion
1. Look around your HOME, find and list, THREE examples of either WAVES or SIMPLE HARMONIC MOTION

CHAPTER 13:
1. In your house give one example of a laminar fluid flow and one example of turbulent fluid flow.

CHAPTER 14, 15, 16:
1. What is the coldest thing that you know about. Give its temperature in Fahrenheit, Celsius, and Kelvin degrees.

2. What is the hottest thing that you know about? Give its temperature in Fahrenheit, Celsius, and Kelvin degrees?

## Solution Preview

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CHAPTER 0 and 1: Mathematics, Measurements, Vectors
1. What part of vector addition is the most difficult for you to do?

Vector addition can be done graphically by using the graphic “head to tail” method. When a vector is 2D form, the graphic representation of vector addition is easy, since using the Pythagorean theorem and the trigonometric functions to find the magnitude and direction respectively, are straightforward. But when it comes to 3D form, it will be harder to represent and add. That is why it is better to resort to the decomposition of each of the 3D vector to add, in mutually perpendicular components, sum them and then, reverse the process for the resultant vector. Even so, finding its magnitude and direction can be a bit cumbersome.
Apart from that, when a vector is in a complex form, like for example in Electromagnetism, the vector addition might be a bit difficult since lack of awareness of “i” notation for the imaginary part of the vector. So complex vectors are more difficult to add, even in 2D.
(156 words)

CHAPTER 2: Motion in a Straight Line
1. What is:
a) the furthest distance that you have traveled in your life (m)
b) the fastest velocity that you have moved (m/s), and
c) the largest acceleration that you have experienced (m/s2)

a) The furthest distance in straight line, I have travelled in my life was 3.70 (106) m (3,700 km = 2,299 mile) from Washington to California, by airplane.

b) That was the fastest velocity I have moved. It took 1.4796 (104) s (4.11 hour) to arrive there.
The average plane speed (Vavg) can be calculated dividing the distance by the time: Vavg = 3.70 (106) m/1.4796 (104) s, therefore Vavg = 2.5 (102) m/s (900 km/h = 559 mph). At some moments, I had a higher instantaneous speed, for example when traveling high altitude, and at others, lower instantaneous speed, for example when landing. We are really speaking of speed, no velocity. The direction is given by a unit vector, and what says how fast it was, it is speed, not direction....

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