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Answer:
It will take 20,000 seconds to get a pressure of 200Pa at the bottom of the tank.
Explanation:
The pressure at the bottom of the tank will be
where is the mass of the water, and
is the base area of the tank.
The base area of the tank is
,
and if we want the pressure at the bottom to be 200pa, then it must be that
,
solving for we get:
which is the required mass of the water in the tank.
Now, the tank fills at a rate of 2 drops per second or
since each drop weights 0.05g.
Therefore, the time it takes to collect 20kg of water will be
which is 55.56 hours or 2 days and 7.56 hours.
Thus, it will take 20,000 seconds to get a pressure of 200Pa at the bottom of the tank.
In this three body system total kinetic energy remains constant:
If we assume that upwards movement is positive and downwards movement is negative the formula is:
Formula for kinetic energy is:
Now we have:
We got two solutions: positive and negative. The speed is 5.04 m/s and direction can be upwards and downwards.
If we assume that upwards movement is positive and downwards movement is negative the formula is:
Formula for kinetic energy is:
Now we have:
We got two solutions: positive and negative. The speed is 5.04 m/s and direction can be upwards and downwards.