**60 Kilometers To Miles** – Through this process, students gain a better understanding of where space begins. The scale of the map is used to determine the distance of the room from the surface of the map. The coins are piled high enough to mark the edge of the room.

State or County Maps with Scale Distance Bars (can be printed or viewed online) OR Download Los Angeles County Map (PDF)

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## 60 Kilometers To Miles

We often think that space is far away. Planets are millions and billions of miles away, and stars are so far away that their distances are measured in light years. (A light-year is the distance the Moon travels in a year, which equals six trillion miles.) But the edge of space—or the space we think spaceships and astronauts have entered in space, called the Von Karman line—is common. 62 miles (100 km) above sea level.

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During its 35 years of service, NASA’s space shuttle operated between 190 miles and 330 miles (304 km to 528 km) above sea level, depending on the mission. The International Space Station maintains an orbit approximately 250 miles (400 km) above sea level, while the Hubble Space Telescope maintains an altitude of 340 miles (550 km).

The photo taken in October 2018 shows the International Space Station flying above Earth. Credit: NASA | › Full image with caption1 Would you be breaking the speed limit in a 40 mph zone if you were going 60 km/h?

One kilometer = 0.62 miles 60 km/h = 37.2 mph You are not fast! km/h and mi/h measure the same quantity using different units.

Nature of measurement There are two parts to measurement. Numerical scale (unit) Example 20 grams 6.63 × joule·second

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Physical quantity Unit name Abbreviation Function kilogram kg Length meter m Time second s Temperature kelvin K Electrostatic potential A Substance mass mol mol Candela cd

7 SI System of Measurement Prefixes Prefix Symbol Product (number) (exponential) yotta Y septillion 1, 000, 000, 000, 000, 000, 000, 000, 000 1024 zetta Z sextillion 1, 0,000,000,000,000 ,0,0. 1012 giga G billion 1 000 000 000 109 mega million million 1 000 000 106 kilo thousand 1 000 103 hectare h hundred 100 102 deka da ten 10 101 tenth UNIT 10.10. 2 thousandth of a millimeter 0.001 10-3 micro million 10-6 nano billion 10-9 pico trillion 10-12 femto quadrillion 10-15 atto quintillion 10-18 ceptomillion 10-18 ceptomillion 10-18 ceptomillion applying quantitative analysis to quantitative problems when solving: we always assume that the value of the larger unit is 1, and then the value of the smaller unit is a multiple of that unit. X 1000 X 10 X 10 X 1000 Example: 1 m to cm.

Conversion SI Prefixes Prefix Symbol Multiplication (number) (exponential) yotta Y septillion 1, 000, 000, 000, 000, 000, 000, 000, 000 1024 zetta Z sextillion 1, 00,00,0,00000,000,000 0000 21 ex and E quintillion 1 , 000, 000, 000, 000, 000, 000 1018 peta P quadrillion 1, 000, 000, 000, 000, 000, 000, 000, 000 1018 peta P 1018 ion 1018 ion 1.0 0.0 0.0 billion 000 000 , 000 000 1018 peta P quadrillion 1 000 000 000 000 000 000 10151 T 012 giga G billion 1 000 000 000 109 mega 0 thousand 001 kilo 0 thousand 001 0 103 hectares h hundred 100 102 deka da ten 10 101 ONE ONE 1 dec d tenth 0.1 c1 hundred 10-10. 2 millim thousandth 0.001 10-3 micro million 10-6 nano billion 10-9 pico trillion 10-12 femto quadrillion 10-15 atto quintillion 10-18 zeptomillion 10-18 zeppotillion 10-18 ptotillion change PREFIXES to UNITS (not PREFIXES to other PREFIXES) Example: Mm compared to pm. meter, liter, gram Factor, ratio, balance. Example: cm compared to m.

Length km hm dam METER (m) dm cm mm 2.54 cm = 1 inch. 1 mile = 5,280 feet. 1 yard = 36 inches. 3 feet = 1 yard 12 inches. = 1 ft How many pm in cm? Convert 60 mph to km/s. How many m3 of water is 25 ft3? 3 3 3

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10 Mass ≠ Weight Mass is a measure of an object’s resistance to changes in its state of motion. The mass does not change. Weight is the force exerted by a force on an object. The weight varies depending on the strength of the flooring.

10 cm 10 cm A liter is a cube 1 dm3 = 10 cm on both sides. 10 cm 1 L = dm3 = (10 cm) 3 = (10 x 10 x 10) cm3 = 1000 cm3 = 1000 ml or 1 ml = 1/1000 l Cubic centimeter A cube (mL) is a cube with a side length of 1 cm . = massage

Amount of matter (# of atoms) per unit volume = density. mass divided by volume. = D = m V Mass (g) Volume (ml)

(a) What is the mass (g) of this piece of metal if it displaces 12. mL of water in the measuring cylinder? (b) What is the volume in milliliters of 34 kg of this solvent?

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16 * Temperature: measurement of the kinetic energy (movement due to heat) of the sample particles. T = temperature change When KE increases, the molecules vibrate and their volume (Temp) increases. 373 273 100 100 – 0 212 32 180 C = (F − 32) 1.8F = 1.8(C) + 32 K = C

Use to convert a product from one unit system to another. To convert from one unit to another, use the equals clause that connects the two units. Obtain the correct unit factor by looking in the direction of the desired change (to eliminate unwanted units). Multiply the quantity being converted by the unit factor to get the required quantity and units.

If you know ONE conversion for each measurement type, you can convert anything! You must remember and use the following conversions: Weight: 454 grams = 1 pound Length: cm = 1 inch Volume: L = 1 quart

A golfer hits the golf ball 6.8 feet above the green. How many inches does it measure? Example #1 To convert from one unit to another, use an equality statement that connects the two units. 1 foot = 12 inches. These two units are:

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20 Example #1 A golfer throws a golf ball 6.8 feet over the green. How many inches does it measure? Obtain the correct unit factor by looking in the direction of the desired change (to eliminate unwanted units). Multiply the quantity being converted by the unit factor to get the required quantity and units.

21 Example #2 An iron has a mass of 4.50 lbs. What is the mass of this sample in grams? (1 kg = lb; 1 kg = 1000 g)

Use the conversions you already know, but when squaring or squaring a unit, don’t forget to square the number! Best Way: Square or Round ALL Conversion Factor Example: Convert 4.3 cm3 to mm3 4.3 cm mm3 1 cm 4.3 cm mm3 13 cm3 ( ) = = 4300 mm3

23 GREAT THINKING! What data do you need to estimate how much it will cost you in gas to drive your car from New York to Los Angeles? Give an estimate of the values and a calculated example. This problem requires students to think about how to solve the problem before entering the numbers into the equation. A sample answer is: Distance between New York and Los Angeles: miles Average gas mileage: 25 miles per gallon Average gas price: $2.75 per gallon (3,200 miles) × (1 gal / 25 miles) × ($2.75 per gallon per) = $352 Total cost = $350

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EXERCISE! At what temperature °C = °F? Since °C is the same as °F, the two must have the same value (denoted as the variable x). Use one of the following conversion equations: Replace TC and TF with x. Solve for x. The answer is -40. Since °C is the same as °F, the two must have the same value (denoted as the variable x). Use one of the conversion equations, such as °C = (°F-32)(5/9), and replace x with °C and °F. Solve for x.

E.g. 2) The volume of water in the cylinder is 27.0 ml. A piece of lead is slowly dropped into the cylinder and the volume is converted to ml. The surface density is 11.3 g/cm3, what is the mass of Pb? E.g. 3) The mass of the empty beaker is 25.83 g. Filled with mercury, the new mass is 225.3g. If the density of mercury is g/cm3, what is the volume of the beaker?

In the period 1.5

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