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Four problems on mechanics.

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A 58-kg skier is going down a slope oriented 35° above the horizontal. The area of each ski in contact with the snow is 0.13 m2? Determine the pressure that each ski exerts on the snow.
Measured along the surface of the water, a rectangular swimming pool has a length of 15 m. along this length, the flat bottom of the pool slopes
downward at an angle of 110 below the horizontal, from one end to the other. By how much does the pressure at the bottom of the deep end exceed the pressure at the bottom of the shallow end?
A dentist's chair with a patient in it weighs 2100 N. The out plunger of a hydraulic system begins to lift the chair when the dentist's foot applies a force of 55 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?
A duck is floating on a lake with 25% of its volume beneath the water, what is the average density of the duck?

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Solution Summary

Solutions of the four problems related to mechanics are given with full explanations.