A cylinder is fitted with a piston, beneath which is a spring, as in the drawing. The cylinder is open to the air at the top. Friction is absent. The spring constant of the spring is 3400 N/m. The piston has a negligible mass and a radius of 0.028 m. (a) When the air beneath the piston is completely pumped out, how much does the atmospheric pressure cause the spring to compress

x =  0.0734 m = 7.34 cm

Explanation:

First we shall calculate the area of the piston:

Now, we will calculate the force on the piston due to atmospheric pressure:

Now, for the compression of the spring we will use Hooke's Law as follows:

where,

k = spring constant = 3400 N/m

x = compression = ?

Therefore,

x =  0.0734 m = 7.34 cm

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