A pressure gauge is constructed out of a container where one side of the container consists of a piston (with a cross sectional area of 0.01m^2) attached to a spring. When all of the air is evacuated from the inside of the container (the pressure in the container is 0 Pa), the spring compresses by 0.15m.
a) What is the spring constant of the spring used in this device?
b) I take this pressure gauge to the bottom of a pool and the spring compresses by a further 0.07m (so the total compression of the spring is 0.22m). What is the depth of the pool?
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