A = √ hc/G?
c = m s -1
G= J m kg -2
find SI unit of A
Answers:
The easiest thing to do is just put the units in instead of the symbols into the formula, however it is a good idea to first express the symbols in terms of base units using the fact that J=kgm^2s^-2. We therefore have units of A^2=(units of hXunits of c)/units of G or
A^2=(kgm^2s^-2sXms^-1) divided by kgm^3s^-2kg^-2
= kg^2
And so the units of A=square root(kg^2) =kg i.e. A is a mass.
Jez
simple dimensional analysis.
kg
Let's ignore the √ sign for the moment, and just look at the expression "hc/G".
The units we're given, written in fractional terms instead of using negative exponents, are h = J s, c = m / s, and G = J m / kg².
In multiplying h times c, the s units cancel, leaving us J m.
Dividing that by J m / kg² is the same as multiplying by kg² / J m. The J and m units cancel, leaving us with kg².
Finally, we apply the √, giving us our final answer: kg.
Hope that helps!
i'm not very good at maths never mind applied maths & as for calculus
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