The hydraulic oil in a car lift has a density of 8.21 x 102 kg/m³. The weight of the input piston is negligible. The radii of the input piste and output plunger are 5.43 x 103 m and 0.165 m, respectively. What input force F is needed to support the 23500-N combined weight of a car and the output plunger, when (a) the bottom surfaces of the piston and plunger are at the same level, and (b) the bott surface of the output plunger is 1.40 m above that of the input plunger? (a) Number Units (b) Number Units The density of ice is 917 kg/m³, and the density of sea water is 1025 kg/m³. A swimming polar bear climbs onto a piece of floating that has a volume of 6.25 m³. What is the weight of the heaviest bear that the ice can support without sinking completely beneath water? Number Units

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The hydraulic oil in a car lift has a density of 8.21 x 102 kg/m³. The weight of the input piston is negligible. The radii of the input piste
and output plunger are 5.43 x 103 m and 0.165 m, respectively. What input force F is needed to support the 23500-N combined
weight of a car and the output plunger, when (a) the bottom surfaces of the piston and plunger are at the same level, and (b) the bott
surface of the output plunger is 1.40 m above that of the input plunger?
(a) Number
Units
Units
(b) Number
The density of ice is 917 kg/m³, and the density of sea water is 1025 kg/m³. A swimming polar bear climbs onto a piece of floating
that has a volume of 6.25 m³. What is the weight of the heaviest bear that the ice can support without sinking completely beneath
water?
Units
Number
Anyarometer is a device used to measure the density or a liquid, it is a cylindrical tube weigntea at one ena, so that it floats with the
heavier end downward. The tube is contained inside a large "medicine dropper," into which the liquid is drawn using the squeeze bulb
(see the drawing). For use with your car, marks are put on the tube so that the level at which it floats indicates whether the liquid is
battery acid (more dense) or antifreeze (less dense). The hydrometer has a weight of W-5.81x102N and a cross-sectional area of A
-8.70× 105 m². How far from the bottom of the tube should the mark be put that denotes (a) battery acid (p-1280 kg/m³) and (b)
antifreeze (p= 1073 kg/m³)?
Hydrometer
(a) h= i
Marks for
two types of
liquids
Transcribed Image Text:The hydraulic oil in a car lift has a density of 8.21 x 102 kg/m³. The weight of the input piston is negligible. The radii of the input piste and output plunger are 5.43 x 103 m and 0.165 m, respectively. What input force F is needed to support the 23500-N combined weight of a car and the output plunger, when (a) the bottom surfaces of the piston and plunger are at the same level, and (b) the bott surface of the output plunger is 1.40 m above that of the input plunger? (a) Number Units Units (b) Number The density of ice is 917 kg/m³, and the density of sea water is 1025 kg/m³. A swimming polar bear climbs onto a piece of floating that has a volume of 6.25 m³. What is the weight of the heaviest bear that the ice can support without sinking completely beneath water? Units Number Anyarometer is a device used to measure the density or a liquid, it is a cylindrical tube weigntea at one ena, so that it floats with the heavier end downward. The tube is contained inside a large "medicine dropper," into which the liquid is drawn using the squeeze bulb (see the drawing). For use with your car, marks are put on the tube so that the level at which it floats indicates whether the liquid is battery acid (more dense) or antifreeze (less dense). The hydrometer has a weight of W-5.81x102N and a cross-sectional area of A -8.70× 105 m². How far from the bottom of the tube should the mark be put that denotes (a) battery acid (p-1280 kg/m³) and (b) antifreeze (p= 1073 kg/m³)? Hydrometer (a) h= i Marks for two types of liquids
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