Challenges

Explore challanges from physics, math and real life!
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Challenges

Potassium – Natural Body Radiation

Cristals of potash.
Potassium was first isolated from potash, a crystallized form of plant ash.

We don’t directly feel nuclear radiation, but it is present all around us — and even within us! Potassium ions are vital for  the functioning of all living cells, vegetables and fruits are good potassium sources. So if you are eating a healthy diet, you probably carry around 140 g of potassium. While most of the potassium atoms are stable, 0.012% is the active 40K isotope with a half-life of 1.24 billion years.

Challenge

How many radio active potassium ions are in your body?

How many of decays pers second does this amount produce?

What energy dose (in J/kg = Gy) is deposited in a 70 kg person? (Assume 1.3 MeV per decay)

More on Potassium

Potassium in its metallic form is so soft, that you can cut it with a knife!

It reacts instantly with oxygen and water, often bursting into flames. It must therefore be stored under oil or vacuum.

The name comes from potash – the ash of plants from which it is first isolated.

Stay curious

Is there a link between the high flammability and the radioactivity of potassium?

What is the average annual radiation dose we are exposed to (not only 40K)?

Links

Wikipedia: Potassium

Government of Canada: Radiation Doses

A great intro, sources of doses and numbers for yearly dose

Wikipedia: Sievert

About the equivalent dosis Sievert and how it relates to the absorbed dose Grey.

UK Government: Ionising radiation – dose comparisions

A great table of doeses for different exposures

Challenges

Bike Gear

A bike computer showing a speed of 22.4 km/h and a cadence of 41 rpm.
A bike computer showing a speed of 22.4 km/h and a cadence of 41 rpm.

🚴‍♂️ How far do I go per pedal rotation?

Let’s calculate the distance per pedal rotation in the highest gear of this bike:

Speed = 22.4 km/h

Cadence = 41 1/min  (rpm)

Using Calcumber, it is a one-liner — but you can solve it by hand or by using any calculator.

💡 Love to see your solutions: on Twitter, Facebook or here.

🛠 Personal story:

I started investigating this after noticing my bike’s highest gear felt off — turns out, it really was getting lower over time.

The photo shows a replacement bike I used during repairs.
Measuring speed and cadence gave me insight into how much distance I actually cover with each pedal stroke.

– Sam and Calcumber

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