Newton was also very good at mathematics and he was able to describe this mysterious
force as
where
is known as ``BIG G'' or the gravitational constant. This is Newton's Law of
Gravitation. Scientists have been able to measure this number to be
or rather, 6.67 hundred thousand millionths; pretty small!
Let us do a little experiment.
The mass of the Earth in kilograms is 6 with 24 zeroes after it.
However, your average apple is only about 0.1 kg.
If you lift the apple above your head to a height of 2 m say,
then from Newton's Law we calculate the force of attraction
(or force of gravity) to be 10 million million (1013) kg m s-2.
Now, let us say that you weigh 60 kg (a wild guess!!).
Your computer in front of you is probably about 30 kg.
Your face is probably about half a metre (0.5m) from the
computer screen.
The force of attraction in this case is
4 ten millionths (0.0000004) kg m s-2 .
But that is 100 million million million (1020) times less
than the force of gravity on the falling apple!
No wonder you do not know anything about it!
But gravity plays a much greater role than simply helping apples drop out of the sky.