Concept explainers
To calculate: the speed of the river when the particle mass is twice as usual; ten times as massive; and hundred times as massive.
Answer to Problem 50E
The speed of the river is
The speed of the river is
The speed of the river is
Explanation of Solution
Given information:
Consider the following information:
Mass of the particles transported by the river is proportional to the sixth power of the speed of the river.
Speed of the river
Calculation:
As per problem,
Mass of the particles transported by the river is proportional to the sixth power of the speed of the river.
Let the mass of the particles be
Therefore the relation between mass and speed:
Now, Speed of riveris
Therefore mass of the particles will be
If the mass of the particles is twice the usual mass, that is,
Therefore, speed of the river is
If theparticle mass is ten times the usual mass, that is,
Therefore, speed of the river is
If the particle mass is hundred times the usual mass, that is,
Therefore, speed of the river is
Hence,
The speed of the river is
The speed of the river is
The speed of the river is
Chapter 5 Solutions
BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015
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