Archives for Physics, Math - Page 8
Watching a Television broadcast from Earth while moving Relativistically
Imagine you are in a spaceship moving away from the earth at a velocity v. Imagine that a TV broadcast is sent to your spaceship from Earth. How would you…
N Points on a unit sphere
Problem Statement Consider n points lying on the Unit Sphere (the image shows a unit circle instead of a sphere). Show that the sum of the squares of the lengths…
Mathematics as a hobby (math as a hobby) ? Yes – Really!
Even if you do not consider math to be a hobby, this article may provide an understanding of why a lot of people do. Not being a math-aficionado, my wife…
The concept of a ‘function’ – explained through a problem
Imagine a long distance runner who runs 10 miles in 50 minutes (averages 1 mile every 5 minutes). Is it true that he has to have one stretch of 2…
Solar sails – How do they work?
Light has no mass – yet it can push solar sails. How? It is true that photons do not have "rest" mass. They do have energy - and hence an…
Throwing eggs at your bedsheet – Illustrating Netwton’s Second Law
If you threw an egg at your bedsheet or blanket (held from all 4 ends), would it break? The answer is no. Newton said that the force that the…
Applying to MBA School? Watch out for the application essays
One of the most formidable hurdles in getting into a top 10 MBA school is the application essay. I know this because several people close to me have applied and…
The complex exponential
The complex exponential - e^z reduces to Euler's identity if z= iota y is purely imaginary. e ^ z = e ^ iota y = cos y + iota sin…