Density Problems

Accelerated Physical Science

 

 

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D_air =   0.00129 kg/L =   0.00129 g/cm³   =   0.00129 g/mL

 

D_water =   1.00 kg/L   =   1.00 g/cm³   =   1.00 g/mL

 

1. Mrs. Anderson’s secret identity is Super Anderson.  She protects the fair city of Menomonee Falls from all that is evil.  (By the way... all that is Evil in the fair city of Menomonee Falls is the EVIL Mahlum-in-ator)  One day in her lab, Super Anderson discovers a new metal  She names the metal “Pinkonium.”  When measured, the sample of Pinkonium  has a volume of 23.8 mL and a mass of 241.75 g.    What is the density of the Pinkonium in g/cm³?

2. Super Anderson realizes that the EVIL Mahlum-in-ator hates all that is pink – and begins to form a plan that will rid the world of his evil presence.  Super Anderson decides that she will bring her sample of Pinkonium to the EVIL city of Evilopolis, where the EVIl Mahlum-in-ator lives.  Once inside the city, she will force the EVIL Mahlum-in-ator to eat some of the Pinkonium – and surely this will destroy him.  She climbs into her invisible jet and heads toward the EVIL city.  First, she must fly through the White Pine Forest of Purity, which protects her home – the Super Cave.  What is the density of White Pine if 6.7 g of it has a volume of 63.8 cm³?

3. On her way to the EVIL city, Super Anderson decided to visit her friend Voigt-Bot.  She submerges her invisible plane in the lake surrounding Voigt-Bot’s lair.  Using her Super-Computer she found the volume to be 227 mL and the mass to be 178. 5g.  What is the density of the invisible jet (which, by the way, is very small).  Will it float or sink in the lake?

 

4. Super Anderson fills Voigt-Bot in n her plan to get rid of the EVIL Mahlum-in-ator.  Voigt-Bot LOVES the idea and offers to help Super Anderson with her mission. He gives her some gold to help pay for the rest of her trip to Evilopolis.  The gold he gives her is 5.75 cm³ in volume and had a density of 19.3 g/cm³.  What is the mass of the gold?

 

5. Super Anderson takes off in her Invisible jet and flies Happyville, which is just south of Evilopolis.  She decides to sell the gold nugget to buy some Super Stealth equipment.  If the price of gold is $22.00 per gram, how much money will she get for the golden nugget in problem 4?

 

6. With the cash, Super Anderson buys a copper laser gun of Kindness and Sweetness.  If the copper gun has a mass of 95 kg and a volume of 11.3 x 10³ cm³,  what is the density of copper?

 

7. She also buys 2.24 x 10⁵ L of pink Smiley gas.  If the gas has a mass of 7.0 x 10⁵ g, what is the density of the pink Smiley gas in g/mL?  What is the density of the pink Smiley gas in Kg/L?  Would the pink Smiley gas float in air or sink?

 

8. The final item Super-Anderson purchases to help her defeat the EVIL Mahlum-in-ator is a silver stereo that plays only country music.  (Which the EVIL Mahlum-in-ator really hates!)  The density of silver is 10.5 g/cm³.  Calculate the mass of the silver stereo if it has a volume 8.20 cm³.

 

9. The price of silver is $2.55 per gram.  What is the value of Super Anderson’s silver stereo?

10. Super Anderson takes her new weapons and boards a scary, stinky, evil-looking war ship that travels into Evilopolis.  The boat is filled with the EVIL Mahlum-in-ator’s science drones – a once happy group of people, now forced to live and learn under his EVIL control!  Super Anderson attempts to disguise herself as a drone by singing bad heavy metal music and talking randomly about things like slugs and string theory. 

The evil warship is made out of Ironwood.  A piece of Ironwood has a mass of 2.75 Kg and a volume of 2690 mL.  Calculate the density of Ironwood.  Would Ironwood float or sink in water?  Why might this important in a war ship?

 

11. EVIL  Mahlum-in-ator

    Once they near the EVIL city of Evilopolis, Super Anderson changes into her pink SCUBA gear and dives off of the boat.  Her buoyancy vest is inflated with air and has a mass of 75.0 Kg and a volume of 7.5 x 10³ mL.  Calculate her density in Kg/L.  Will she float or sink in the water?

12. Unbeknownst to Super Anderson, the EVIL Mahlum-in-ator has somehow heard that she is planning a attack (Maybe Voigt-Bot isn’t really a good guy!!!!!!  Gasp!!!!!)  He is watching for her high above the city on a hot air balloon.  The hot air balloon has a volume of 27.00 m³ and a mass of 2.15 x 10⁴ Kg.  Calculate the density of the hot air balloon in g/cm³. (NOTE:  1 m = 100 cm, but 1 m³ IS NOT EQUAL to 100 cm³) 

 

13. Just as she emerges from the water, the EVIL Mahlum-in-ator drops a Metallica bomb on Super Anderson!!!!!!  Stunned by the blow, she stumbles back.  As she is trying to recover, he swoops down on her in his EVIL hot air balloon.  She pulls out her copper Kindness and Sweetness and gun and fires!  The EVIL Mahlum-in-ator is temporarily stunned.  With no time to lose,  Super Anderson pulls out the silver stereo and blasts the EVIL Mahlum-in-ator with some country music.  He covers his EVIL ears and howls in pain!!!!!  He trashes to the left – then to the right – and (GASP) he knocks the Pinkonium out of Super Anderson’s hands!!!!!!!  Super Anderson rushes to recover the Pinkonium, but alas, she is too late.  The Pinkonium has been knocked onto a ship headed back to Happyville!  If the Ship has a volume of 3.97 x 10¹⁵ L   (NOTE:  most of this volume is filled with air inside of the hull)  and a mass of 1.2 x 10¹⁴ kg, what is the density of the ship? Would the ship float or sink in water?

 

Stunned, Super Anderson tries to run after the ship, but realizes it is too late.  She realizes however, that the EVIL Mahlum-in-ator is still under the spell of the country music.  She decides to tie him up with her pink lasso and take him as a prisoner back to her lair – where he will be forced to say nice things about her and find cute clip art for her homework assignments.  To ensure her safety, she sprays him with the pink Smiley gas.  Within moments, he is under the Smiley spell, where he cannot stop giggling.

 

However, in the back of his dark and evil mind, he is plotting and planning a way to get Super Anderson back for this humiliating defeat.  Will he succeed?  Will the sweet and kind Super Anderson be ambushed on the way back to the Super Cave?  Tune in next time to find out!