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)?

 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)?}