A Clever Student Needs To Determine The Density Of Liquid X. She Has At Her Disposal A Spring Balance And An Irregularly Shaped Object Of Unknown Material That Is Inert In Air, Water Liquid X. In Air The Object Weighs 2.00N. In Water It Weighs 1.60N. And In Liquid X It Weighs 1.70N. The Density Of Liquid X Is

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During intense exercise, the volume of blood pumped per second by an athlete’s heart increases by a factor of 7, and his blood pressure increase by 20 %. By what factor does the power output of the heart increase during exercise?


A cylindrical can of height h and base area S is immersed in water to a depth h0 in figure. A small hole of area s appears in the bottom of the can. Determine how quickly the can sinks.



The sphere of an ancient water clock jug is such that water level descends at a constant rate at all times. If the water level falls by 4 cm every hour, determine the shape of the jar, i.e., specify x as a function of y. The radius of drain hole is 2 mm and can be assumed to be very small compared to x.



A rectangular tank of height 10 m filled with water, is placed near the bottom of a plane inclined at an angle 30o with horizontal. At height h from bottom a small hole is made (as shown in the figure) such that the stream coming out from hole, strikes the inclined plane normally. Calculate h 




If the temperature of the air does not vary, the ratio of its pressure to its density is almost constant. In this case. 


Where P0 and  are the pressure and density of air, respectively at sea level. Show that with this approximation, the variation of air pressure with altitude y is given by   



An equation for the speed of the liquid as a function of the distance it has fallen


Combining the above result with the equation of continuity the expression for the red us of the stream as a function of y is 


If water flows out of vertical pipe at a speed of 1.2 m/s, how far below the outlet will the radius be half the original radius of the stream?


A 60 kg swimmer pulls himself into a  raft moored in the meddle of a small lake. By how much does the raft sink when the swimmer climds onto it?


A layer of oil deep floats on a layer of water that is 8 meets deep. The density of the oil is 300 kg/m3. A cube with a volume of 2 m3 floats at the oil-water interface with exactly half of its volume in the water. What is the density of the cube?