1. A fuel pump sends gasoline from a car\'s fuel tank to the engine at a rate of

Question

1. A fuel pump sends gasoline from a car's fuel tank to the engine at a rate of 7.18x10-2 kg/s. The density of the gasoline is 737 kg/m3, and the radius of the fuel line is 2.97x10-3 m. What is the speed at which gasoline moves through the fuel line?

2.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 ice that has a volume of 5.38 m3. What is the weight of the heaviest bear that the ice can support without sinking completely beneath the water?

3.A dentist's chair with a patient in it weighs 1840 N. The output plunger of a hydraulic system begins to lift the chair, when the dentist's foot applies a force of 65.7 N to the input piston. Neglect any height difference between the plunger and the piston. What is the ratio of the radius of the plunger to the radius of the piston?

Explanation / Answer

1)v=(7.18*10^-2/ 737)*(1/pi (2.97*10^-3)^2) =3.51m/s

2)weight of bearw + 917*5.38*9.8 = 1025 * 5.38*9.8

==> w = (1025-917)*9.8*5.38=5694.19 N

3)r1/r2=sqrt(1840/65.7)=5.3 :1

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