Answer:
a) 35.94 ms⁻²
b) 65.85 m
Explanation:
Take down the data:
ρ = 1000kg/m3
a) First, we need to establish the total pressure of the water in the tank. Note the that the tanks is closed. It means that the total pressure, Ptot, at the bottom of the tank is the sum of the pressure of the water plus the air trapped between the tank rook and water. In other words:
Ptot = Pgas + Pwater
However, the air is the one influencing the water to move, so elimininating Pwater the equation becomes:
Ptot = Pgas
= 6.46 × 10⁵ Pa
The change in pressure is given by the continuity equation:
ΔP = 1/2ρv²
where v is the velocity of the water as it exits the tank.
Calculating:
6.46 × 10⁵ =1/2 ×1000×v²
solving for v, we get v = 35.94 ms⁻²
b) The Bernoulli's equation will be applicable here.
The water is coming out with the same pressure, therefore, the equation will be:
ΔP = ρgh
6.46 × 10⁵ = 1000 x 9.81 x h
h = 65.85 meters
Answer:
Gasoline will float
Asphalt will sink
Cork will float
Explanation:
Simply compare the value of each object's density to that of the sea water (1.025 g/ml). If the density of the object is less than that of the water, the object will float due to the buoyance force.
Contrarily, if the density of the object is larger than that of sea water, the object will sink.
Gasoline, with density 0.66 g/ml which is less than that of sea water, will float.
Gasoline, with density 1.2 g/ml which is more than that of sea water, will sink.
Cork, with density 0.26 g/ml which is less than that of sea water, will float.
Toy car will take the least amount of force.
this is because the toy car has a much lighter mad than the other objects meaning it will take less force to get it to move.
An action that does not produce motion is sit and which produce motion is walk