Poorly treated municipal wastewater is discharged to a stream. the river flow rate upstream of the discharge point is qu/s = 8.7 m3/s. the discharge occurs at a flow of qd= 0.9 m3/s and has a bod concentration of 50.0 mg/l. assuming that the upstream bod concentration is negligible. (a)what is the bod concentration just downstream of the discharge point? (b) if the stream has a cross-sectional area of 10 m2, what would the bod concentration be 50 km downstream? (bod is removed with a first-order decay rate constant equal to 0.20/da

Ablock of mass m = 2.5 kg is attached to a spring with spring constant k = 790 n/m. it is initially at rest on an inclined plane that is at an angle of 28 degrees with respect to the horizontal, and the coefficient of kinetic friction between the block and the plane is k = 0.14. in the initial position, where the spring is compressed by a distance of a = 0.18 m, the mass is at its lowest position and the spring is compressed the maximum amount. take the initial gravitational energy of the block as zero. b) if the spring pushes the block up the incline, what distance, l, in meters will the block travel before coming to rest? the spring remains attached to both the block and the fixed wall throughout its motion.

Which of the following is an example of motion in two dimensions?

On a horizontal frictionless surface, a small block with mass 0.200 kg has a collision with a block of mass 0.400 kg. immediately after the collision, the 0.200 kg block is moving at 12.0 m/s in the direction 30° north of east and the 0.400 kg block is moving at 11.2 m/s in the direction 53.1° south of east. use coordinates where the +x-axis is east and the +y-axis is north.(a) what is the total kinetic energy of the two blocks after the collision (in ) what is the x-component of the total momentum of the two blocks after the collision? (indicate the direction with the sign of your ) what is the y-component of the total momentum of the two blocks after the collision? (indicate the direction with the sign of your answer.)