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Four problems on mechanics.

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#16
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.
#22
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?
#34
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?
#38
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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Solutions of the four problems related to mechanics are given with full explanations.

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Four problems on mechanics

Please help with the following problems.

1. A car starts from rest and reaches a speed of 31m/s in 2 seconds. Calculate its acceleration, if this value stays the same then what it the speed 7 seconds later?

2. A ball is thrown off a very tall building with a velocity of 16 m/s. What is the speed of the ball after 1.1 second. Remember that the ball falls with an acceleration of 9.8m/s2 towards the earth.

3. A child's cubic play block has a mass of 76g and sides of 9cm. What is the density of the block? Will the block sink or float?

4. A 33 kg girl who is running at 3m/s jumps on a 12kg stationary sled on a frozen lake. How fast does the sled with the girl then move?

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