chapter 1. branches of physics measuring = units mass [kg] length/distance [m] time [s]

55
Chapter 1

Upload: willis-manning

Post on 18-Dec-2015

226 views

Category:

Documents


3 download

TRANSCRIPT

Page 1: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

Chapter 1

Page 2: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

Branches of Physics

Page 3: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]
Page 4: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

Measuring = units

MASS [kg]

LENGTH/DISTANCE [m]

TIME [s]

Page 5: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

What do these have in common?

Odd one out???

Page 6: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

LBS vs. KGWeight is measured in pounds

(USA)

Mass is measured in kilograms

1 kg = 2.20462262 pounds

1 kg = 2.2 lbs

1 lb = 454 g

Page 7: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

MASS

50 – 75 kg

Page 8: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

MASS

Bumblebee bat – 1.5g – 2.0 g

Page 9: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

MASS

Blue whales:Newborn –2.5 tonsAvg. 100 – 120 tonsBiggest – 190 tons

Page 10: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

CONVERT

1) your weight in lbs to mass in kg (1 kg = 2.2 lbs)

2) 190 tons to pounds

Page 11: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

1 mile = 1.609344 kilometers

1 mile = 1.6 km

1 yard = 0.9144 m

1 foot = 0.3408 m

1m = 3.2808 ft

Page 12: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

Football field in meters?What is the length of a football field in meters?

120 yards

1 yard = 0.9144 m

Page 13: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

mph – km / h – m/s

Page 14: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

65 mph = 104 km/h

104 km / h to m/s

104 km = 140,000 m; 1 h = 3600 s

65 mph = 29m/s

Page 15: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

km / h – m/s

75 km/h = 25 m/s =

120 km/h = 12 m/s =

Page 16: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

Scale of the Universe A super cool applet

Page 17: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]
Page 18: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

SN you need to remember:

Page 19: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

Convert, use Scientific Notation

Page 20: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

Examples

Page 21: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

Examples

Page 22: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

Examples

Page 23: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

Examples

Page 24: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

Practice 12.5 days to seconds ________________________________________

3.5 km to mm ______________________________________________

43 cm to km _______________________________________________

22 mg to kg _______________________________________________

671 kg to µg _______________________________________________

8.76 x 107 mW to GW _______________________________________

1.753 x 10-13 s to ps _________________________________________

Page 25: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

Practice

The mass of the parasitic wasp Caraphractus cintus can be as small as 5x10-6 kg. What is the mass in a)g b)mgc) µg

Page 26: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

PRACTICE2 dm - … mm2h 10 min - … s16 g - … micrograms0.75 km - … cm0.675 mg - …g462 µm - … cm35 km/h - … m/s

Page 27: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

Precision & Sig. Dig.

Page 28: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

LAB on Precision 1) Use the solid 1 m stick and measure the length of

the lab table

2) Use the 1 m stick marked with dm

3) Use the 1 m stick marked with cm

4) Use the actual meter stick to measure the length of your desk.

Write down the results to the maximum precision in each case.

Page 29: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

SIG FIGS MADE SIMPLE

Page 30: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

Pacifi

cP

resen

t Atla

ntic

Ab

sen

t1.450

14502500

0250.00

Page 31: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

Sig. Fig.

100 000 100. 00

202 000 0.0050

340 505 0.00505

Page 32: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

How many Sig.Figs?300 000 000 m/s

3.00 ×108 m/s

25.030 °C

0.006 070°C

1.004 J

1.305 20 MHz

Page 33: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

PracticeThe value of the speed of light is

now known to be 2.997 924 58 ×108m/s.Express the speed of light in the following ways:

a) 3 SF

b) 5 SF

c) 7 SF

Page 34: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

Adding and Subtracting# of digits 0.______ (after the

decimal point) = the least precise

3345.28 + 0.2 = 3345.48 = 3345.5

57.8 – 0.567 = 52.233 = 52.2

Page 35: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

Multiplying and Dividing#SF (result) = the least #SF

(A*B)

1.34 x 2300 = 3082 = 3.1103

#SF (result) = the least #SF (A/B)

23967 / 45 = 532.6 =5.3102

Page 36: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

Practice Bicyclists in the Tour de France reach speeds of 34.0 miles per hour (mi/h) on flat sections of the road. What is this speed in a) km/h and b) m/s - ?

1 mile = 1.61 km

Page 37: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

Practice

a) find the sum of 756 g,

37.2 g, 0.83 g, and 2.5 g

b) the quotient 3.2 m/ 3.563 s

c) the product of 5.67 mm ×π

d) 27.54 s - 3.8 s

Page 38: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

Density lab

Page 39: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

Trig Review

Page 40: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

Physics Quantities

SCALARS – magnitude

only

VECTORS –magnitude

anddirection

Page 41: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

Vector vs. ScalarVelocity vs. Speed

Displacement vs. Distance

v – scalar; v – vector; (typed text)

a) b) c) d)

Page 42: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

Comparing vectors

Which vectors have the same magnitude?

Which vectors have the same direction?

Which arrows, if any, represent the same vector?

Page 43: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

Adding vectors

Page 44: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

Subtracting vectors (+ negative)

Page 45: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

Subtracting vectors (“fork”)

Page 46: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

Check your understanding

Construct and label a diagram that shows the vector sum 2A + B. Construct and label a second diagram that shows B + 2A.

Construct and label a diagram that shows the vector sum A – B/2. Construct and label a second diagram that shows B/2 - A.

Page 47: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

Adding vectors

Page 48: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

Practice (p. 24, #24)

Vector A has a magnitude of 63 units and points due west, while vector B has the same magnitude and points due south. Find the magnitude and direction of

(a) A+B and

(b) A-B .

Specify the directions relative to due west.

Page 49: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

Practice (p. 24, #25)

(a) Two workers are trying to move a heavy crate. One pushes on the crate with a force A , which has a magnitude of 445 newtons and is directed due west. The other pushes with a force B, which has a magnitude of 325 newtons and is directed due north. What are the magnitude and direction of the resultant force A+B applied to the crate?

(b) Suppose that the second worker applies a force - B instead of . What then are the magnitude and direction of the resultant force A-B applied to the crate?

In both cases express the direction relative to due west.

Page 50: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

Adding vectors that are not

To add vectors that are not perpendicular to each other, we will use components.

Each vector has vertical and horizontal components, for example a has ax and ay

Page 51: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

Components

Page 52: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

Adding vectors

Page 53: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

To find the resultant…

We need the components

Page 54: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

Finding Rx and Ry

Page 55: Chapter 1. Branches of Physics Measuring = units MASS [kg] LENGTH/DISTANCE [m] TIME [s]

To find the resultant…

Direction?