(1a)The car lift at your neighborhood garage is designed suchthat the radii of the input piston and output plunger are 7.7010^-3 m and 0.120 m, respectively. The garage managerlikes to use a hydraulic oil in the lift that has a density of 7.8010² kg/m³. Compared to the weight of theoutput plunger, the weight of the input piston is negligible.Determine the force F_i needed at theinput piston in order to support the 13,000-N combined weight of acar and the output plunger under the following conditions. (A) Thebottom surfaces of the input piston and output plunger are at thesame level. (B)The bottom surface of the input piston is 2.40 mbelow that of the output plunger.

(1b)The pressure at the bottom of a cylindrical container with across-sectional area of 48.0 cm² and holding a fluid ofdensity 500 kg/m³ is 115 kPa. (A) Determine the depth ofthe fluid. (B)Determine the pressure at the bottom of the containerif an additional 2.20 10^-3 m³ of this fluidis added to the container. (Give your answer to at least 3significant figures.)

(1c)(a) Suppose a meter stick made of steel and one made ofinvar are the same length at 0°C. What is their difference inlength at 48.0°C? The coefficient of thermal expansion is 12 ✕10^−6/°C for steel and 0.9 ✕ 10^−6/°C forinvar. (B)Repeat the calculation for two 18.5-m-long surveyor'stapes.