An object moving in a liquid experiences a linear drag force: d= (bv, direction opposite the motion), where b is constant called the drag coefficient. for a sphere of radius r, the drag constant can be computed as b = 6πηr, where η is the viscosity of the liquid. a. use what you've learned in calculus to prove thatb. find an algebraic expression for , the xcomponent of velocity as a funtion of distance traveled, for a spherical particle of radius r and mass m that is shot horizontally with initial speed through a liquid viscosity η.c. water at 20°c has viscosity . suppose a 1.0cmdiameter, 1.0 g marble is shot horizontally into a tank of 20°c water at 10 cm/s. how far will it travel before stopping?
4/3
Explanation:
For xyplane coordinates, points are written as (x, y).
This question gives us two points and two line equations to solve this. Let's start with the first one.
Since p is the x value of the point and r is the y value of the point, we can place these values in our equation y = x + b as follows:
r = p + b
Now we do the same with our second point and line equation. We will substitute 2p for x and 5r for y in the equation y = 2x + b. So we get this:
5r = 2(2p) + b
5r = 4p + b
Since we have this two equations with the same two variables, now we can solve them using the elimination method.
In this case I eliminated b as it is constant in both equations. To do this I subtract the equations in order to cancel the b variable.
5r = 4p + b
r = p + b

5r  r = 4p + b  p  b
4r = 3p
4/3 = p/r