Why The Sun Will Never Fall
By MUNGAI KIHANYA
The Sunday Nation
Nairobi,
23 January 2005
What force keeps the Earth moving around the Sun? Why doesn’t it stop?
And how does the Sun float in space with nothing to support it and
prevent it from falling? These questions can be answered if think about
a simple experiment:
Everyone knows that the harder you throw an object the further away it
will land. If you fling a
stone horizontally at 80km/h, it will hit the ground just over 12.5
metres away. If the speed is doubled (160km/h), the landing distance
also doubles to 25m.
Now suppose you mounted a powerful cannon on top of mount Kenya aiming
horizontally. Bearing in mind that the Earth is round, is it possible to
shoot the cannonball so fast that it goes round the planet and comes
back to the mountain from the opposite side? Yes! Theoretically, if it
were fired at an initial speed of 29,000km/h, the cannonball would never
land. At this speed, it would orbit the earth and return to the starting
point in 83 minutes.
In reality, however,
the cannonball slows down as it flies through the air. It would
therefore land somewhere halfway around the Earth. But if the experiment
were repeated from a very high altitude - where there is virtually no
air at all - the ball would go round the planet.
This is how satellites manage to stay up is space for many years without
ever needing fuel. In the same way, the Earth keeps moving round the Sun
in empty space. It does not need to be pushed by anything because there
is nothing slowing it down.
Going back to the stone throwing experiment, what if we aim vertically
upwards? The results are also well known - the harder you throw, the
higher the stone will reach. 80km/h will achieve a height of 25m. But in
this case, when the initial speed is doubled, the maximum height does
not double - 160km/h will achieve almost 100m.
The maximum height increases as the square of the initial velocity. Thus
when the speed is doubled, the highest distance increases by a factor of
four (two squared) - 25 x 4 = 100m. For this reason, it is easy to throw
objects to great distances in the sky.
But there is another complication: the force of gravity decreases as one
goes further away from the Earth. At 2,700km in the sky, the
gravitational pull is half that on the ground. And every 2,700km after
that, the force decreases by half. Therefore, if an object gains height
at a rate greater than the decrease in gravity, it would never stop
moving. For this to happen, the object must start off at a minimum of
40,000km/h. At the speed, it would never fall back to Earth.
Finally, how does the sun float in space without falling? The answer to
that lies in another question: where would it fall? Nowhere! Since there
is no place to fall then it does not fall.
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