Question

the drag force of flowing water of River on a spherical stone in the river depends only on density of the water its flow speed and radius of the stone radius of the drag forces on two spherical stone of radius 10 cm and 20 CM would be​

Answer 1

Answer:

The relation between velocity, density and acceleration due to gravity is given as with  and

Explanation:

The given question has mass of the largest stone movable by river flow depending upon three factors, their relation can be ruled out using dimensional analysis.

Given are three dependent factors as Velocity V with density d and acceleration due to gravity as g.

The mass M of the largest stone is directly proportional to the V, d and g

M proportional to V d g, M=

On multiplication, we get

Now, we have, on comparison  

y = 1

x – 3y + z = 0

x – 3×1 +z = 0

x + z = 3 __________(1)

And,-x -2z = 0__________(2)

Multiply equation 1 with 2 and compare with equation 2

2x + 2z = 6

-x – 2z = 0

x = 6