Recent Questions

Uma

  • Case 1: There is one tiger in front of you.
  • Case 2: There are two tigers in front of you.

Obviously, you are more scared in case 2 than you are scared in case 1.
 

  • Case 3: There are 100 tigers in front of you.
  • Case 4: There are 101 tigers in front of you.

Now in cases 3 and 4, even though the difference in the number of tigers is the same, the difference in the fear you feel in case 4 is negligible to the fear in case 3, whereas this difference is quite substantial in cases 1 and 2.

This is because, in cases 1 and 2, the no. of tigers gets doubled. Hence the proportion is comparatively larger, than in cases 3 and 4.

Thus, logarithmic thinking helps our survival instincts and judge cases practically and comes in handy.
But in some cases, logarithmic thinking causes problems too. You wouldn't be as happy on getting a $5 discount on a $2000 object as you would be on getting a $5 discount on a $10 object.

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Tarun

This answer assumes that the earth stops suddenly for 42 seconds and then starts spinning at its normal speed.

1. If the earth stops spinning suddenly, the atmosphere will continue to spin. This means very high speed winds, i.e., approximately 1670 Km/hr which is earth's rotational velocity.  The winds will also cause erosion to the earth's crust.

2. A sudden stop of the spin will have a similar effect to when you press brakes on a moving car. You guessed it right, you (and every other object on this earth) will fly with a speed of earth's rotational velocity, around 1670 km/hr. This is a very high speed but not enough to launch the objects in space, so no space trip for any of us.

3. The earth will become a perfect sphere because the bulge in the earth is due to its rotation. This bulge is along the equator and the oceans as they are now are due to this bulge. If there is no bulge and the earth is a perfect sphere, the oceans will redistribute resulting in one massive supercontinent that circles the equator and the north and south poles will become oceans. See the image below:

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