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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 • 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 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 listed here is the: • A Hectometer • B Millimeter • C Decimeter • D Kilometer
The largest metric unit listed here is the: • A Hectometer • B Millimeter • C Decimeter • D Kilometer
The length of one paperclip is represented by: • A 1 millimeter • B 2.5 centimeters • C 3 dekameters • D 10 kilometers
The length of one paperclip is represented by: • A 1 millimeter • B 2.5 centimeters • C 3 dekameters • D 10 kilometers
Convert 25 g to mg. • A 250 mg • B 25 000 mg • C 250 000 mg • D 2500 mg
Convert 25 g to mg. • 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 smallest metric unit listed here is the: • A Hectogram • B Milligram • C Decigram • D Kilogram
The smallest metric unit listed here is the: • A Hectogram • B Milligram • C Decigram • D Kilogram
A kilogram means • 1/1000 of a gram • 1/100 of a gram • 1000 grams • 10000 grams
A kilogram means • 1/1000 of a gram • 1/100 of a gram • 1000 grams • 10000 grams
One millisecond means1/1000 of a second1/100 of a second1000 seconds10000 seconds
One millisecond means1/1000 of a second1/100 of a second1000 seconds10000 seconds
If you had 0.005 liters of water, you would have: • A 50 ml • B 50 μl • C 5 ml • D 0.5 ml
If you had 0.005 liters of water, you would have: • A 50 ml • B 50 μl • C 5 ml • D 0.5 ml
The mass of one paperclip is probably about: • A 1 milligram • B 100 kilograms • C 20 decigrams • D 1 gram
The mass of one paperclip is probably about: • A 1 milligram • B 100 kilograms • C 20 decigrams • D 1 gram
One centivoltmeans1/1000 of a volt1/100 of a volt1000 of a volt10000 a volt
One centivoltmeans1/1000 of a volt1/100 of a volt1000 of a volt10000 a volt
10,000,000 meters is the same as: • A 10 megametersB 1 gigameterC 10 millimetersD 10 micrometers