Assuming that the mass m of the largest stone that can be moved by a flowing river depends upon the velocity v of the water, its density r and the acceleration due to gravity g. Then m is directly proportional to(a) v3(b) v4(c) v–5(d) v6
Shane Macguire , 11 Years ago
Grade upto college level
1 Answers
Simran Bhatia
Last Activity: 11 Years ago
(d)
m proportional to v^x p^y g^z
M = [LT–1]x[ML–3]y[LT–2]z
M1L0T0 = MyLx–3y–zT–x–2z
y = 1, x – 3y + z = 0, –x – 2z = 0
Solving above equations
x – 3 – x/2 = 0 = x/2 = 3 = x = 6
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