(Solved): Consider the hydraulic lift shown in the figure. The small piston has an area \( A_{1} \) of \( 0.0 ...

Consider the hydraulic lift shown in the figure. The small piston has an area \( A_{1} \) of \( 0.0330 \mathrm{~m}^{2} \), and the large piston has an area \( A_{2} \) of \( 4.00 \mathrm{~m}^{2} \). What force \( F_{2} \) will the large piston provide if the small piston is pushed down with a force \( F_{1} \) of \( 17.0 \mathrm{~N} \) ? Assume that the fluid used in the lift is incompressible. \[ F_{2}= \] If the small piston \( A_{1} \) is slowly depressed a distance of \( y_{1}=0.200 \mathrm{~m} \), what distance \( y_{2} \) will the large piston \( A_{2} \) rise? \[ y_{2}= \] \[ \mathrm{m} \] What is the magnitude \( W_{1} \) of the work done when pushing down the small piston \( A_{1} \) ? What is the magnitude \( W_{2} \) of the work done when pushing up the large piston \( A_{2} \) ?