(1a)The car lift at your neighborhood garage is designed such that the radii of the input...

(1a)The car lift at your neighborhood garage is designed such that the radii of the input piston and output plunger are 7.70 10^-3 m and 0.120 m, respectively. The garage manager likes to use a hydraulic oil in the lift that has a density of 7.80 10² kg/m³. Compared to the weight of the output plunger, the weight of the input piston is negligible. Determine the force F_i needed at the input piston in order to support the 13,000-N combined weight of a car and the output plunger under the following conditions. (A) The bottom surfaces of the input piston and output plunger are at the same level. (B)The bottom surface of the input piston is 2.40 m below that of the output plunger.

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

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

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genius_generous answered 1 year ago

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