DART vs ASTEROID: Middle School Math

DART is a test

of NASA’s planetary defence plans.

AND IF YOU GOOGLE ……..

 DOUBLE ASTEROID REDIRECTION TEST

                                       Guess what?

The DART(Double Asteroid Redirection Test) mission was launched on Nov. 23, 2021, atop a SpaceX Falcon 9 rocket from the Vandenberg Space Force Base in California.

It is the size of a small vending machine and it has been travelling through space for 10 months.

Killer Easter Egg Math

According to The Guinness Book of Records the largest chocolate Easter Egg went on display at Le Acciaierie Shopping Centre, in Cortenuova, Italy, on 2011.

 Egg Weight   = 7,200 kg  = 15,873 lbs

Height = 10 m =  34 ft

Circumference = 19.6 m = 64 ft

The sugar content for easter eggs is: 55-65% by weight

So we will assume the sugar content of the giant egg was in the middle:

60%

The weight of sugar in the giant egg equals:

Death by Caffeine: The Maths Part 1 METRIC

Death by Caffeine: The Math  Part 1 USA UNITS here.

The lethal dose for caffeine is about 150 milligrams per kg of body weight. While the average person’s caffeine consumption is around 200 milligrams a day, the Mayo Clinic advises against exceeding 500 to 600 milligrams per day.

This work titled Timing is Everything is by street artist ABOVE in London.

You may want this much energy but be warned, energy drinks can kill.

It would take a ridiculously huge number of ANGRY WOMBAT energy drinks to kill a 14 year old weighing, say, 48 kg. Nevertheless, some kids are more sensitive to caffeine than others and then much lower levels of consumption of energy drinks can be fatal. 

See Death by Caffeine: The Maths Part 2 METRIC

Here is the work (see below) TIMING IS EVERYTHING by street artist ABOVE in London showing the timing.

 

Death by Caffeine: The Math Part 1 USA UNITS

Death by Caffeine: The Maths  Part 1 METRIC here

The lethal dose for caffeine is about 68 milligrams per lb of body weight. Average consumption of caffeine is about 200 milligrams a day. The Mayo Clinic advises against exceeding 500 to 600 milligrams per day.

 This work titled Timing is Everything is by street artist ABOVE in London.

You may want this much energy but be warned, energy drinks can kill.

It would take a ridiculously huge number of ANGRY WOMBAT energy drinks to kill a 14 year old weighing, say, 110 lb. Nevertheless, some kids are more sensitive to caffeine than others and then much lower levels of consumption of energy drinks can be fatal. 

See Death by Caffeine: The Math Part 2 USA UNITS

Here is the work (see below) TIMING IS EVERYTHING by street artist ABOVE in London showing the timing.

 

I Can’t Sleep: Caffeine Math Part 3 USA UNITS

I Can’t Sleep Math: Caffeine Maths METRIC HERE.

Sensitivity to caffeine varies for individuals, but in healthy adults the half life for caffeine is approx 6hrs meaning your body eliminates half the caffeine you have drunk in 6 hrs. Ref: Caffeine Pharmacology

Caffeine interferes with sleep. One study found that consuming caffeine 6 hours before bedtime reduced total sleep time by 1 hour.

Caffeine content sources Caffeine Content Data Base

Street art by JEKS, South Carolina

The Half life equation is an exponential function.

The Mayo Clinic advises up to 400mg Caffeine a day for adults, which would be;

10 black teas

7 instant coffees

4 cappuccinos

2 dark roast brewed

less than one cup of Black Insomnia Coffee.

Approx half this amount of caffeine for 14 yos.

Death by Chocolate: Yes! Chocolate can kill. But how much would kill you?

 Choco Yum Yum! Mathspig lervs chocolate. But did you know chocolate can kill you?

Chocolate contains a chemical called Theobromine. This alkaloid ( other alkaloids include cocaine, nicotine, caffeine, and strychnine) can kill humans. More info Wired Magazine.

How much chocolate is too much?

Firstly, the darker the chocolate the more Theobromine it contains.

According to About Chemistry based on the highest possible toxicity:

* Vetmedicine: Cooking chocolate contains 8-10 times the Theobromine in Milk Chocolate.

According to Wired large doses of theobromine may cause “nausea and anorexia ….. sweating, trembling and severe headache.”

The Royal Society of Chemistry notes that chocolate does not contain caffeine, but theobromine induces similar symptoms.

LD50 for the lethal dose for 50% of the population for Theobromine is:

1000 mg/kg 0r 1gm/kg of body weight in humans

Death by Chocolate Calculations:

1. FORMULA

2. GRAPH

3. Percentage

Death by Chocolate for DOGS

Chocolate can be fatal to dogs. As dogs are small they can easily eat enough chocolate to kill them. According to The Royal Society of Chemistry

The National Geographic has an amazing interactive chart for dog poisoning by chocolate.

King Kong Power Punch 2021 USA units

Metric version here.

Silverback Gorilla stats here

Human anatomy weight % here.

Speed info here

Impact times for boxers here

Power comparisons here.

King Kong Power Punch 2021 … Metric

USA units version here.

Silverback Gorilla stats here

Human anatomy weight % here.

Speed info here

Impact times for boxers here

Power comparisons here.

Giant Easter Egg Maths … METRIC

Good News for Chocoholics

To get the right texture Easter Eggs are made from sugar or sucrose and not from corn syrup. But chocolate contains lots and lots of sugar.

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Guylian Sea Shells:

Weight Sea Shell: 120 g

Weight Sugar: 48g

% sugar = 48/120 x 100 = 40%

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………………………………………………………………

This is a Guylian Luxury Easter Egg. It can also be used as a designer handbag, I guess.

Guylian Easter Eggs:

Weight Easter Egg: 100g

Weight Sugar: 52g

% sugar = 52/100 x 100 = 52%

You’ll find nutrition data here.

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Easter Challenge:

You will find the largest Chocolate Easter Egg ever here.

This egg is 10.39 m high and weighs 7,200 kg , but  it is ugly. I like the GUYLIAN GIANT EGG (below) because it looks good and we also know how much sugar is in the egg.

This Giant Egg was made in 2005 in Belgium by chocolate maker Guylian.

Statistics:

Height: 8.32 m  

Weight: 1950 kg chocolate

No. Chocolatiers: 26

No. Chocolate bars: 50,000

Total time: 525 hrs

Easter Challenge for Chocoholics

The amount of sugar in the giant egg weighs as much as a Fiat Punto.