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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. Displacement Distance Speed and Velocity. Linear Kinematics. Kinematics = “ the study of motion” Forms of Motion

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the plan from here
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
Linear Kinematics

Displacement Distance

Speed and Velocity

linear kinematics1
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
New Terms
  • Distance –
    • length of path travelled.
    • In meters
  • Displacement-
    • Change in position
    • Vector (Includes direction)
    • Also in meters
distance
Distance
  • What is the distance traveled in this picture?
distance1
Distance
  • What is the displacement of the person in this picture?
distance2
Distance
  • What is the displacement of the person in this picture?
distance and 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?

distance and displacement1
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 displacement2
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 displacement3
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
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 symbol1
New Symbol
  • So:
    • x is horizontal position
    • Δx is “change in x”
    • Δx is “horizontal displacement”
    • Δy is “vertical displacement”
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
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?
question1
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
question2
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?
question3
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
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
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
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
question4
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?
question5
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
question6
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
question7
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.
slide26

The SI base unit of length is the __________.

  • a. candela
  • b. meter
  • c. kilogram
  • d. mole
slide27

The SI base unit of length is the __________.

  • a. candela
  • b. meter
  • c. kilogram
  • d. mole
slide28

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
slide29

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
slide30

The largest metric unit listed here is the:

    • A Hectometer
    • B Millimeter
    • C Decimeter
    • D Kilometer
slide31

The largest metric unit listed here is the:

    • A Hectometer
    • B Millimeter
    • C Decimeter
    • D Kilometer
slide32

The length of one paperclip is represented by:

    • A 1 millimeter
    • B 2.5 centimeters
    • C 3 dekameters
    • D 10 kilometers
slide33

The length of one paperclip is represented by:

    • A 1 millimeter
    • B 2.5 centimeters
    • C 3 dekameters
    • D 10 kilometers
slide34

Convert 25 g to mg.

  • A 250 mg
  • B 25 000 mg
  • C 250 000 mg
  • D 2500 mg
slide35

Convert 25 g to mg.

  • A 250 mg
  • B 25 000 mg
  • C 250 000 mg
  • D 2500 mg
slide36

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
slide37

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
slide38

The smallest metric unit listed here is the:

    • A Hectogram
    • B Milligram
    • C Decigram
    • D Kilogram
slide39

The smallest metric unit listed here is the:

    • A Hectogram
    • B Milligram
    • C Decigram
    • D Kilogram
slide40

A kilogram means

  • 1/1000 of a gram
  • 1/100 of a gram
  • 1000 grams
  • 10000 grams
slide41

A kilogram means

  • 1/1000 of a gram
  • 1/100 of a gram
  • 1000 grams
  • 10000 grams
slide44

If you had 0.005 liters of water, you would have:

  • A 50 ml
  • B 50 μl
  • C 5 ml
  • D 0.5 ml
slide45

If you had 0.005 liters of water, you would have:

  • A 50 ml
  • B 50 μl
  • C 5 ml
  • D 0.5 ml
slide46

The mass of one paperclip is probably about:

    • A 1 milligram
    • B 100 kilograms
    • C 20 decigrams
    • D 1 gram
slide47

The mass of one paperclip is probably about:

    • A 1 milligram
    • B 100 kilograms
    • C 20 decigrams
    • D 1 gram
slide50

10,000,000 meters is the same as:

  • A 10 megametersB 1 gigameterC 10 millimetersD 10 micrometers
slide51

10,000,000 meters is the same as:

  • A 10 megametersB 1 gigameterC 10 millimetersD 10 micrometers
slide52

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
slide53

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
slide54

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
slide55

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
slide56

1000 centimeters is equal to:

  • 1 meter
  • 1 hectometer
  • 1 kilometer
  • 1 decameter
slide57

1000 centimeters is equal to:

  • 1 meter
  • 1 hectometer
  • 1 kilometer
  • 1 decameter
slide62

The multiplier for SI units with the prefix mega is __________.

  • a. 1/1,000,000
  • b. 1/1000
  • c. 1000
  • d. 1,000,000
slide63

The multiplier for SI units with the prefix mega is __________.

  • a. 1/1,000,000
  • b. 1/1000
  • c. 1000
  • d. 1,000,000
slide64

1/1000 of a microgram is:

  • gigagramnanogrammilligramcentigram
slide65

1/1000 of a microgram is:

  • gigagramnanogrammilligramcentigram
slide66

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
slide67

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
slide68

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
slide69

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
slide70

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
slide71

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
slide72

In the metric system, 1 g is the same as

  • A) 100 mg.
  • B) 1000 mg.
  • C) 1000 kg.
  • D) 100 kg.
slide73

In the metric system, 1 g is the same as

  • A) 100 mg.
  • B) 1000 mg.
  • C) 1000 kg.
  • D) 100 kg.
slide74

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
slide75

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
slide76

The vertical distance from the basement to the roof would best measured in

  • A) Meters
  • B) Kilometers
  • C) Nanometers
  • D) Centimeters
slide77

The vertical distance from the basement to the roof would best measured in

  • A) Meters
  • B) Kilometers
  • C) Nanometers
  • D) Centimeters
slide80

Your weight would be best measured in:

  • A) Grams
  • B) Milligrams
  • C) Kilograms
  • D) Centigrams
slide81

Your weight would be best measured in:

  • A) Grams
  • B) Milligrams
  • C) Kilograms
  • D) Centigrams
slide82

Convert 57.7 kg to grams.

  • a. 5,770 g
  • b. 57,700g
  • c. 577,000 g
  • d. 5,770,000 g
slide83

Convert 57.7 kg to grams.

  • a. 5,770 g
  • b. 57,700g
  • c. 577,000 g
  • d. 5,770,000 g
slide84

When 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
slide85

When 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
slide86

An inch would be about equal to which of the following?

  • .25 kilometers
  • .25 meters
  • .025 meters
  • 2.5 milliliters
slide87

An inch would be about equal to which of the following?

  • .25 kilometers
  • .25 meters
  • .025 meters
  • 2.5 milliliters
slide88

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)
slide89

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)
slide90

The metric equivalent to 10 grams is

  • A) 100 centigram.
  • B) 100 decigram.
  • C) 0.001 kilogram.
  • D) 1 milligram.
slide91

The metric equivalent to 10 grams is

  • A) 100 centigram.
  • B) 100 decigram.
  • C) 0.001 kilogram.
  • D) 1 milligram.
slide92

Convert 243 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
slide93

Convert 243 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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