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The plan from here

- Monday & Tuesday – One new idea & Review
- Wednesday – Lab
- Friday – Review
- Monday – Enjoy your 3 day weekend
- Tuesday – First Test

Linear Kinematics

Kinematics = “ the study of motion”

Forms of Motion

1. Linear

- translation
- all points on the body move the same distance in the same direction in the same amount of time
2. Angular

- rotation
3. General

- translation and rotation

New Terms

- Distance –
- length of path travelled.
- In meters

- Displacement-
- Change in position
- Vector (Includes direction)
- Also in meters

Distance

- What is the distance traveled in this picture?

Distance

- What is the displacement of the person in this picture?

Distance

- What is the displacement of the person in this picture?

Distance and Displacement

Starting from origin, O a person walks 90-m east, then turns around and walks 40-m west.

Q: What is the total walked distance?

Distance and Displacement

Starting from origin, O a person walks 90-m east, then turns around and walks 40-m west.

Q: What is the total walked distance? A: 130-m

Distance and Displacement

Starting from origin, O a person walks 90-m east, then turns around and walks 40-m west.

Q: What is the total walked distance? A: 130-m

Q: What is the displacement?

Distance and Displacement

Starting from origin, O a person walks 90-m east, then turns around and walks 40-m west.

Q: What is the total walked distance? A: 130-m

Q: What is the displacement? A: 50-m, due east. (or at 0 deg)

New Symbol

- Δ – “Delta”
- Means “change in”
- Final value – initial value

- Δa = change in a = af – ai
- Δb = change in b = bf – bi
- Etc.

New Symbol

- So:
- x is horizontal position
- Δx is “change in x”
- Δx is “horizontal displacement”
- Δy is “vertical displacement”

Displacement

The displacementDx is a vector that points from the initial position xi to the final position xf.

Dx = xf - xi

SI Unit of Displacement: meter (m)

Question:

- The Earth is 1.5 * 1011 meters from the sun.
- If the orbit is a perfect circle, what is the distance the earth moves in six months?
- What is the size of the displacement?

Question:

- The Earth is 1.5 * 1011 meters from the sun.
- If the orbit is a perfect circle, what is the distance the earth moves in six months?
- 1 half orbit = 2 p r /2 = (3.14)* 1.5 * 1011 =4.7 * 1011 m
- What is the displacement?
- Twice the radius = 2 *1.5* 1011 =3.0 * 1011 m

Question:

- The Earth is 1.5 * 1011 meters from the sun.
- If the orbit is a perfect circle, what is the distance the earth moves in twelve months?
- What is the displacement?

Question:

- The Earth is 1.5 * 1011 meters from the sun.
- If the orbit is a perfect circle, what is the distance the earth moves in twelve months?
- 1 full orbit = 2 p r = 2*(3.14)* 1.5 * 1011 =9.4 * 1011 m
- What is the displacement?
- 0. It has made a full circle to its starting point

Speed vs. Velocity

Velocity, v(meters/second)

- Vector (include direction)
- rate of change of displacement
- change in displacement per unit time
Speed(also meters/second)

- No direction necessary
- Rate of change of distance
- Change in distance per unit time

Velocity and speed

- Speed is scalar. Has no direction.
- 8 m/s

- Velocity is a vector. It does have direction.
- 8 m/s North
- 8 m/s at 53 degrees.
- 8 m/s up

Equations

- Speed
- Average Speed = distance traveled / time

- Velocity
- Average Velocity = displacement / time
- v = Δx/t (or Δy/t)

- For those of you in calculus:
- v = dx/dt or dy/dt

Question:

- The Earth is 1.5 * 1011 meters from the sun.
- A year is 3.2 * 107 seconds.
- If the orbit is a perfect circle, what is the speed of the earth over six months?
- What is the velocity?

Question:

- The Earth is 1.5 * 1011 meters from the sun.
- A year is 3.2 * 107 seconds.
- If the orbit is a perfect circle, what is the speed of the earth over six months?
- Distance / time
- 4.7 * 1011 m / 1.6 * 107s = 3.0 * 104 m/s
- What is the velocity?
- Displacement / time
- 3.0 * 1011 m / 1.6 * 107s = 1.9 * 104 m/s

Question:

- The Earth is 1.5 * 1011 meters from the sun.
- A year is 3.2 * 107 seconds.
- If the orbit is a perfect circle, what is the speed of the earth over one year?
- What is the velocity?
- Displacement / time

Question:

- The Earth is 1.5 * 1011 meters from the sun.
- A year is 3.2 * 107 seconds.
- If the orbit is a perfect circle, what is the speed of the earth over one year?
- Distance / time
- 9.4 * 1011 m / 3.2 * 107s = 3.0 * 104 m/s
- What is the velocity?
- Displacement / time
- 0. Displacement was zero, so velocity is zero as well.

- The SI base unit of length is the __________.
- a. candela
- b. meter
- c. kilogram
- d. mole

- The SI base unit of length is the __________.
- a. candela
- b. meter
- c. kilogram
- d. mole

- According to the second rule for significant figures, how many significant figures are in the number 0.36007?
- A 5
- B 6
- C 3
- D 4

- According to the second rule for significant figures, how many significant figures are in the number 0.36007?
- A 5
- B 6
- C 3
- D 4

- The largest metric unit many significant figures are in the number 0.36007?listed here is the:
- A Hectometer
- B Millimeter
- C Decimeter
- D Kilometer

- The largest metric unit many significant figures are in the number 0.36007?listed here is the:
- A Hectometer
- B Millimeter
- C Decimeter
- D Kilometer

- The length of one paperclip is represented by: many significant figures are in the number 0.36007?
- A 1 millimeter
- B 2.5 centimeters
- C 3 dekameters
- D 10 kilometers

- The length of one paperclip is represented by: many significant figures are in the number 0.36007?
- A 1 millimeter
- B 2.5 centimeters
- C 3 dekameters
- D 10 kilometers

- Convert 25 g to mg. many significant figures are in the number 0.36007?
- A 250 mg
- B 25 000 mg
- C 250 000 mg
- D 2500 mg

- Convert 25 g to mg. many significant figures are in the number 0.36007?
- A 250 mg
- B 25 000 mg
- C 250 000 mg
- D 2500 mg

- What is the significant figure rounding rule for addition and subtraction?
- A Round to the GREATEST number of significant figures with relationship to the decimal
- B Round to the LEAST number of significant figures with relationship to the decimal
- C Round the answer to match the measurement with the LEAST total number of significant figures
- D Round the answer to match the measurement with the GREATEST total number of significant figures

- What is the significant figure rounding rule for addition and subtraction?
- A Round to the GREATEST number of significant figures with relationship to the decimal
- B Round to the LEAST number of significant figures with relationship to the decimal
- C Round the answer to match the measurement with the LEAST total number of significant figures
- D Round the answer to match the measurement with the GREATEST total number of significant figures

- The and subtraction?smallest metric unit listed here is the:
- A Hectogram
- B Milligram
- C Decigram
- D Kilogram

- The and subtraction?smallest metric unit listed here is the:
- A Hectogram
- B Milligram
- C Decigram
- D Kilogram

- A kilogram and subtraction?means
- 1/1000 of a gram
- 1/100 of a gram
- 1000 grams
- 10000 grams

- A kilogram and subtraction?means
- 1/1000 of a gram
- 1/100 of a gram
- 1000 grams
- 10000 grams

- One millisecond and subtraction?means1/1000 of a second1/100 of a second1000 seconds10000 seconds

- One millisecond and subtraction?means1/1000 of a second1/100 of a second1000 seconds10000 seconds

- If you had 0.005 liters of water, you would have: and subtraction?
- A 50 ml
- B 50 μl
- C 5 ml
- D 0.5 ml

- If you had 0.005 liters of water, you would have: and subtraction?
- A 50 ml
- B 50 μl
- C 5 ml
- D 0.5 ml

- The mass of one paperclip is probably about: and subtraction?
- A 1 milligram
- B 100 kilograms
- C 20 decigrams
- D 1 gram

- The mass of one paperclip is probably about: and subtraction?
- A 1 milligram
- B 100 kilograms
- C 20 decigrams
- D 1 gram

- One and subtraction?centivoltmeans1/1000 of a volt1/100 of a volt1000 of a volt10000 a volt

- One and subtraction?centivoltmeans1/1000 of a volt1/100 of a volt1000 of a volt10000 a volt

- 10,000,000 meters is the same as: and subtraction?
- A 10 megametersB 1 gigameterC 10 millimetersD 10 micrometers

- 10,000,000 meters is the same as: and subtraction?
- A 10 megametersB 1 gigameterC 10 millimetersD 10 micrometers

- What is the significant figure rounding rule for addition and subtraction?
- A Round to the GREATEST number of significant figures with relationship to the decimal
- B Round to the LEAST number of significant figures with relationship to the decimal
- C Round the answer to match the measurement with the LEAST total number of significant figures
- D Round the answer to match the measurement with the GREATEST total number of significant figures

- Zeros after a non-zero number, but before the decimal are NOT significant,
- A Unless the decimal IS NOT written
- B Unless the decimal IS written
- C Under any circumstance

- Zeros after a non-zero number, but before the decimal are NOT significant,
- A Unless the decimal IS NOT written
- B Unless the decimal IS written
- C Under any circumstance

- Zeros after a non-zero number, but before the decimal are NOT significant,
- A Unless the decimal IS NOT written
- B Unless the decimal IS written
- C Under any circumstance

- 1000 centimeters is equal to: NOT significant,
- 1 meter
- 1 hectometer
- 1 kilometer
- 1 decameter

- 1000 centimeters is equal to: NOT significant,
- 1 meter
- 1 hectometer
- 1 kilometer
- 1 decameter

- Which of the following is a typical height for a person: NOT significant,
- A) 182 cm
- B) 18.2 m
- C) 182 mm
- D) .182 km

- Which of the following is a typical height for a person: NOT significant,
- A) 182 cm
- B) 18.2 m
- C) 182 mm
- D) .182 km

- The metric prefix “ NOT significant,hecto” is equal to how many basic units?
- A1000
- B 100
- C 0.1
- D 0.001

- The metric prefix “ NOT significant,hecto” is equal to how many basic units?
- A1000
- B 100
- C 0.1
- D 0.001

- The multiplier for SI units with the prefix mega is __________.
- a. 1/1,000,000
- b. 1/1000
- c. 1000
- d. 1,000,000

- The multiplier for SI units with the prefix mega is __________.
- a. 1/1,000,000
- b. 1/1000
- c. 1000
- d. 1,000,000

- 1/1000 of a microgram is: __________.
- gigagramnanogrammilligramcentigram

- 1/1000 of a microgram is: __________.
- gigagramnanogrammilligramcentigram

- When __________. converting from grams to milligrams, one must:
- A Move the decimal point to the left or divide
- B Move the decimal point to the right or divide
- C Move the decimal point to the left or multiply
- D Move the decimal point to the right or multiply

- When __________. converting from grams to milligrams, one must:
- A Move the decimal point to the left or divide
- B Move the decimal point to the right or divide
- C Move the decimal point to the left or multiply
- D Move the decimal point to the right or multiply

- Which of __________. the following operations would yield an answer of 0.5417 to the correct number of significant digits?
- a. 3.900/7.200
- b. 3.9000 / 7.2000
- c. 3.90/ 7.20
- d. 3.900/7.2

- Which of __________. the following operations would yield an answer of 0.5417 to the correct number of significant digits?
- a. 3.900/7.200
- b. 3.9000 / 7.2000
- c. 3.90/ 7.20
- d. 3.900/7.2

- The multiplier for SI units with the prefix micro is __________.
- a. 1/1,000,000,000
- b. 1/1,000,000,000,000,000
- c. 1/1,000,000,000,000
- d. 1/1,000,000

- The multiplier for SI units with the prefix micro is __________.
- a. 1/1,000,000,000
- b. 1/1,000,000,000,000,000
- c. 1/1,000,000,000,000
- d. 1/1,000,000

- In the metric system, 1 g is the same as __________.
- A) 100 mg.
- B) 1000 mg.
- C) 1000 kg.
- D) 100 kg.

- In the metric system, 1 g is the same as __________.
- A) 100 mg.
- B) 1000 mg.
- C) 1000 kg.
- D) 100 kg.

- The masses of two objects are added together. The first mass is 36.46 grams and the mass of the second object is 5.1234567 grams. When the rules for significant figures are used, the total is:
- A 41.5834567 g
- B 41 g
- C 41.58 g
- D 42 g

- The masses of two objects are added together. The first mass is 36.46 grams and the mass of the second object is 5.1234567 grams. When the rules for significant figures are used, the total is:
- A 41.5834567 g
- B 41 g
- C 41.58 g
- D 42 g

- The vertical distance from the basement to the roof would best measured in
- A) Meters
- B) Kilometers
- C) Nanometers
- D) Centimeters

- The vertical distance from the basement to the roof would best measured in
- A) Meters
- B) Kilometers
- C) Nanometers
- D) Centimeters

- The metric prefix “ best measured in milli” is equal to how many basic units?
- A 1000
- B 100
- C 0.1
- D 0.001

- The metric prefix “ best measured in milli” is equal to how many basic units?
- A 1000
- B 100
- C 0.1
- D 0.001

- Your weight would be best measured in: best measured in
- A) Grams
- B) Milligrams
- C) Kilograms
- D) Centigrams

- Your weight would be best measured in: best measured in
- A) Grams
- B) Milligrams
- C) Kilograms
- D) Centigrams

- Convert 57.7 kg to grams. best measured in
- a. 5,770 g
- b. 57,700g
- c. 577,000 g
- d. 5,770,000 g

- Convert 57.7 kg to grams. best measured in
- a. 5,770 g
- b. 57,700g
- c. 577,000 g
- d. 5,770,000 g

- When best measured in converting from kilograms to a grams, one must:
- Move the decimal point to the left or divide
- Move the decimal point to the right or divide
- Move the decimal point to the left or multiply
- Move the decimal point to the right or multiply

- When best measured in converting from kilograms to a grams, one must:
- Move the decimal point to the left or divide
- Move the decimal point to the right or divide
- Move the decimal point to the left or multiply
- Move the decimal point to the right or multiply

- An inch would be about equal to which of the following? best measured in
- .25 kilometers
- .25 meters
- .025 meters
- 2.5 milliliters

- An inch would be about equal to which of the following? best measured in
- .25 kilometers
- .25 meters
- .025 meters
- 2.5 milliliters

- Which of the following is the metric equivalent to 0.001 liter (L)?
- A) 1 kiloliter (kL)
- B) 1 deciliter (dL)
- C) 1 milliliter (mL)
- D) 1 centiliter (cL)

- Which of the following is the metric equivalent to 0.001 liter (L)?
- A) 1 kiloliter (kL)
- B) 1 deciliter (dL)
- C) 1 milliliter (mL)
- D) 1 centiliter (cL)

- The metric equivalent to liter (L)?10 grams is
- A) 100 centigram.
- B) 100 decigram.
- C) 0.001 kilogram.
- D) 1 milligram.

- The metric equivalent to liter (L)?10 grams is
- A) 100 centigram.
- B) 100 decigram.
- C) 0.001 kilogram.
- D) 1 milligram.

- Convert 243 liter (L)?ng to its equivalent in kilograms.
- a. 2.43×10-10 kg
- b. 2.43×1012 kg
- c. 243×1010 kg
- d. 2.43×1010 kg

- Convert 243 liter (L)?ng to its equivalent in kilograms.
- a. 2.43×10-10 kg
- b. 2.43×1012 kg
- c. 243×1010 kg
- d. 2.43×1010 kg

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