58 622
Assignments Done
Successfully Done
In March 2018
Your physics homework can be a real challenge, and the due date can be really close — feel free to use our assistance and get the desired result.
Be sure that math assignments completed by our experts will be error-free and done according to your instructions specified in the submitted order form.
Our experts will gladly share their knowledge and help you with programming homework. Keep up with the world’s newest programming trends.

Answer on Mechanics | Relativity Question for disha

Question #30812
assuming that the largest mass that can be moved by a flowing river depends on the velocity of flow,density of river water,and acceleration due to gravity,show that the mass varies as the sixth power of velocity of flow.
Expert's answer
We posit that
M = C v^a * p^b * g^c
with C a dimensionless constant, and a , b and c (dimensionless) exponents.
Let us determine what values of a, b and c are allowed to make the formula dimensionally correct.

v is s speed, so length/time ( L / T) .
p is a density, so mass/volume (m / L^3)
g is an acceleration, so length / time^2 ( L / T^2)

This means that in terms of dimensions, the equation is
m = (L / T)^a * (m / L^3)^b * ( L / T^2)^c
So, combining powers in each quantity (L, m, T):

m = L^(a - 3b + c) * m^b * T^(-a -2c)

Whence we conclude that

b = 1
a - 3b + c = 0
-a -2c = 0


b = 1
a + c = 3
a + 2 c = 0

The latter two equations are solved by
c = -3
a = 6


M = C * v^6 * p / g^3

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!


No comments. Be first!

Leave a comment

Ask Your question