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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.






  • 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




  • 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






  • 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




  • 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 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






  • 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 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






  • 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








  • 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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