A system filled with a liquid is shown below. On the left

Chapter 2, Problem 2.2C

(choose chapter or problem)

A system filled with a liquid is shown below. On the left there is a piston in a tube of cross-sectional area \(\mathrm{A_1}\) with a force \(\mathrm{F_1}\) applied to it, and on the right there is a piston in a tube of cross-sectional area \(\mathrm{A_2}\) that is twice that of \(\mathrm{A_1}\) and a force \(\mathrm{F_2}\). The pistons are weightless. The two liquid levels are the same.

The relation between the force \(\mathrm{F_2}\) and \(\mathrm{F_1}\) is

a) \(\mathrm{F_2=F_1}\)

b) \(\mathrm{F_2=4~ F_1}\)

c) \(\mathrm{F_2=2~ F_1}\)

d) \(\mathrm{F_2=F_1/2}\)

e) \(\mathrm{F_2=F_1/4}\)