Answer:
your answer is B. The velocity could be in any direction, but the acceleration is in the direction of the resultant force
Answer:
evaporative crystallization
cooling crystallization from solution or the melt
The tank has a volume of
, where
is its height and
is its radius.
At any point, the water filling the tank and the tank itself form a pair of similar triangles (see the attached picture) from which we obtain the following relationship:

The volume of water in the tank at any given time is

and can be expressed as a function of the water level alone:

Implicity differentiating both sides with respect to time
gives

We're told the water level rises at a rate of
at the time when the water level is
, so the net change in the volume of water
can be computed:

The net rate of change in volume is the difference between the rate at which water is pumped into the tank and the rate at which it is leaking out:

We're told the water is leaking out at a rate of
, so we find the rate at which it's being pumped in to be


The first law, which deals with changes in the internal energy, thus becomes 0 = Q - W, so Q = W.
If the system does work, the energy comes from heat flowing into the system from the reservoir; if work is done on the system, heat flows out of the system to the reservoir