Problem 1: The puffer fish (tetradontiade) can employ a defense mechanism whereby it fills its stomach with water until the fish is almost spherical in shape. The shape, in conjunction with its external spines, are a significant deterrent to predators. Suppose that a puffer fish takes in water until its mass has increased by f = 1.52 times its initial mass. In this state, and initially at rest, the puffer fish expels the water with a speed s in one direction, while the fish recoils in the opposite direction at a speed v. For this problem neglect the drag-force effects of the surrounding ocean water. Part (a) Write an expression for v/s in terms of f. Part (b) What is the numerical value of your answer to part (a)?
Fluid Pressure
The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.
Gauge Pressure
Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.
Problem 1: The puffer fish (tetradontiade) can employ a defense mechanism whereby it fills its stomach with water until the fish is almost spherical in shape. The shape, in conjunction with its external spines, are a significant deterrent to predators. Suppose that a puffer fish takes in water until its mass has increased by f = 1.52 times its initial mass. In this state, and initially at rest, the puffer fish expels the water with a speed s in one direction, while the fish recoils in the opposite direction at a speed v. For this problem neglect the drag-force effects of the surrounding ocean water.
Part (a) Write an expression for v/s in terms of f.
Part (b) What is the numerical value of your answer to part (a)?
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