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?

1.122 m/s

Explanation:

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

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

1/0.14nm = 10^10/1.4 a lot

force is mass*acceleration.

we have a very small mass: 11.4*0.001 kg

if we want 0.035n of force, we need an acceleration:

0.035 = 11.4*0.001*a

a = 0.035/(11.4*0.001) m/s^2