we saw four types of proportions between two variables a and b In the Direct Pro
ID: 1575502 • Letter: W
Question
we saw four types of proportions between two variables a and b In the Direct Proportionality case a b, we have a = k b. Lets suppose that you have [a] [J] (reads a in units of Joules) and [b] [m] (reads b in units of meter.) What would be the unit of the proportionality constant, k, in terms of [J] and [m]? Must show work. Partial credit applicable. variables a and In the Inverse Proportionality case a a , we have ad b [J] (reads a in units of Joules) and [b] [m](reads b in What would be the unit of the proportionality constant, k, in ter e Must show work. Partial credit applicable. 9. In class we saw four types of proportions between two va we have a = Lets suppose that you have [a] = units of meter.)Explanation / Answer
8.
a = k*b
a = [J]
b = [m]
Since dimension on both side of equation should be same, So
[J] = k*[m]
dimension of k = [J/m] (Your answer will be this)
If you want answer in SI unit then
Joule = J in SI unit will be
We know that J is unit of work
work = F*d
F = M*a
W = M*a*d
Unit of m = kg
unit of a = m/sec^2
unit of d = m
SI unit of J = kg-m^2/sec^2
Since dimension on both side of equation should be same, So
[kg-m^2/sec^2] = k*[m]
dimension of k = kg-m/sec^2
9.
[J] = k/[m]
dimension of k = [J-m]
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