Question

The mass of the particles that a river can transport is proportional to the sixth power of the speed of the river. A certain river normally flows at a speed of 1 meter per second. What must its speed be in order to transport the particles that are twice as massive as usual?

Answer 1

1.122 m/s

Step-by-step explanation:

So usually a river with a speed of 1 meters per second can transport particle that weighs:

`1^6 = 1 kg`

If the particle is twice as massive as usual, then its weights would be 1 * 2 = 2kg

This means the river must be flowing at a speed of

`2^{(1)/(6)} = 1.122 m/s`