Order of Magnitude Estimates — The purpose of this exercise is for you to get so
ID: 3197522 • Letter: O
Question
Order of Magnitude Estimates — The purpose of this exercise is for you to
get some practice with systematic thinking and estimation using tools and techniques
you already know. You are not expected to come up with an answer that
is precisely correct. Rather, your answer should be within an order of magnitude,
or a factor of about 10, of the correct answer. We are looking to see how
you think about a problem and go about logically and systematically arriving
at an answer. Order of magnitude estimation is a tremendously useful skill for
scientists designing an experiment or checking a theory, and more generally for
a wide variety of decision making processes. It also provides you with a way to
analyze situations that are inherently complex.
e. How many atoms are there in one lip’s worth of lip balm?
f. How high can you jump on the Moon? (Moon’s gravity is 1/6 of Earth’s).
You may look up any number that you might need for your calculation such
as the height and width of the Eiffel tower, or the mass of an atom. Obviously
you get no credit for looking up the whole answer. You should provide enough
details so that instructors can see how you arrived at your answer; you will
receive no credit for just writing down a number even when that number is
correct.
Explanation / Answer
On the Earth's surface gravity,g= 9.8m/s2
(Or we can also take it as 10)
Moon's gravity is one sixth that of Earth's.
That is (1/6)of 9.8 = 0.16
In order to calculate how high you can jump on the moon.
You should first know what your height is (in meters).Let it be h.
Then you can jump this high = h/0.16
( for example my height is 1.68 m then i can jump 1.68/0.16 = 10.5 m high on moon).
e. In order to find out the number of atoms . you must know the mass of that particular thing. And the mass of an object is a measure of how much material the object has.
Also in one mole we have 6.022 x 1023 atoms( Avogadro's number).
Firstly calculate the number of moles of lip balm used and then multiply it with avogadro's number.
Nunber of moles= Grams of lip balm used/ atomic mass
= n moles( say)
No. of atoms = n × 6.022 × 1023 atoms
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