1) Use the meter stick to draw a straight line down the entire length of the large sheet of paper.
Measure and record the line in centimeters.  ______________ cm
REPORT THIS NUMBER in the nineth row of the 5th column.

2) Label one end of the line Sun and the other end Pluto

3) Use scientific notation and your TI.
To calculate the scale of your model, divide the length of the line in centimeters, by Pluto's average distance from the Sun in kilometers.
(check with me, you should get a negative exponent) SCALE OF YOUR MODEL = ________________ cm/km (scientific notation)
That means that 1 km in reality (in space) is ____________ cm on your paper.

4) To determine Neptune's position, multiply Neptunes's average distance from the sun by the scale of your model.
Neptune scaled distance = ____________ cm. REPORT  this number in the TABLE ABOVE.
Mark Neptune's position on the line in your model.

5) Repeat step 4) for each of the remaining planets in the solar system.
don't forget to report in the TABLE. At home you will decorate the map. Extra credits/

PART II MODELING THE SIZE OF THE PLANET.
CAN WE USE tHE SAME SCALE AS FOR PART 1 ?

Let's see if you can use the same scale to map the distance between the Sun and the planets and the relative size of the planets.

1) Use the image above. This is a model on scale of the planets. With a ruler (in centimeter), find the diameter of Jupiter:
A) D_Jupiter = _____________ cm    . Find the diameter of EArth D_Earth = __________ cm
B) o Jupiter is __________ times large than the EArth.

2) Below is a model that includes the Sun

A) Using a ruler, find the diameter of the Sun D_Sun = __________cm. The diametre of Jupiter D_Jupiter = ________ cm
B) So the Sun is __________ larger than Jupiter.

3) In a model of the relative size of the planets, the Sun is 20cm in diameter.
Find the diameter of Jupiter __________ cm / (  hint: divide by the factor found in 2B  )
The real diameter of Jupiter is  142, 984km
Find the scale of the model. scale = ____________ cm/km    (hint : divide the diameter of Jupiter in cm in diameter of Jupiter in km)
According of the TABLE, the distance Sun-Pluto is _______________km   (refer to the table)
Using the new scale (used for the relative size of planets), Find the distance Sun-Pluto :
distance in centimeters = __________________ cm between Sun and Pluto. (hint: multiply the distance in km by the scale in cm/km)

4) So do you think it is easy to have the same scale for the size and for the distance. Eplain why.

GOING FURTHER

1) Duckweed plant live on the surface of calm ponds and are the smallest flowering plants in the world. They weigh about 0.00015 g.

A) write this number in scientific notation
B) If left unchecked , one duckweed plant, which reproduces every 30-36 hours could produce 1 x 10³⁰ (a nonillion) plants in four months.
How much would one nonillion duckweed plants weigh ?

3) A proton has a mass of 1.7 10^-24g. Use this information to write a problem.

4) Suppose you have a million dollars in pennies. A penny is 1.55mm thick. How tall would a stack of all your pennies be ?
WRite the asnwer in scientific notation. (hint: 1$ = 100 cents)

5) A cubic centimeters is the same as 1 mL. If a humpback whale has more than 1 Kl of blood ,how many cubic centimeters of blood does has the humpback whale has ?
(hint: 1 L = 1000mL and 1 KL = 1000L)

8) In an recent article (BBC) it was reported that German scientists observed the motion of 28
stars around our galaxy and came to the conclusion: there is a black hole in the center.
They say  the black hole was 27,000 light years, or 158 thousand, million, million miles from the Earth.
A)write the last number with scientific notation. then convert to meters.
(hint:  multiply 158 by 1000000000000000 and 1600m = 1 mile)

B) then they say the black hole is four million times more massive than our Sun.
Find the ratio mass black hole vs mass our sun in scientific notation.

9) Einstein's relativity theory shows that if something accelerates and moves away from
Earth it will pick up some mass for an observer on EArth. It has been calculated that a baseball thrown at a hundred miles an hour will pick up 0.000000000002 g of grams on its mass to home plate.
A) convert to scientific notation
B) the effects of relativity are real and have been measured. Other weird effects are time dilation and length contraction. Explain.


10)Pluto is really small, just one quarter of 1 percent as massive as EArth.
The mass of the EArth is about 5.98 10²⁴kg  . Find the mass of Pluto. (Scientific notation)

11) in a lab, we found the the thickness of a cheap aluminum foil is about 15 micrometer.
convert to meters, centimeters and millimeters. Scientific notation.
(1 m = 10^-6 micrometer)

12) The core of a neutron star is so dense that a single spoonful of matter from it would weigh 200 billion pounds.
convert to pounds in scientific notation.

13) Each galaxy contains tens of billions of stars. how much is that? scientific notation.

14) A supernovae is a dying , very massive, star that explodes. The solar system is the left over of such an explosion. The atoms that build us were once part of this star. For a star to become a supernovae it needs to be ten to twenty times as massive as our own Sun.
How much is that ? (find the range in scientific notation)
The mass of the Sun is about 1.9891 ×10³⁰ KG

15) EArth's weight is 5.9725 billion trillion metric tons. How much is that in Kg, scientific notation ? (1 ton = 1,000kg)

16) One cubic centimeter of air (the space of a small cube of sugar) contain 45 billion billion molecules/
Write this number in scientific notation.

17) The nucleus of an atom is tiny - only one millionth of a billionth of the full volume of the atom. An atom is mostly space.
convert to scientific notation



source pictures:
http://corboy.com/solar-system-model/index.html

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