Mechanical Prop...

The small piston of a hydraulic lift has an area of $$0.20m^2$$. A car weighing $$1.20\times 10^4N$$ sits on a rack mounted on the large piston. The large piston has an area of $$0.90m^2$$. How large a force must be applied to the small piston to support the car?

Eight spherical rain drops of the same mass and radius are falling down with a terminal speed of $$6cms^{-1}$$. If they coalesce to form one big drop, what will be its terminal speed? Neglect the buoyancy due to air:

Water rises in a capillary upto a height h. If now this capillary is tilted by an angle of $$45^{\circ}$$, then the length of the water column in the capillary becomes

A $$1.5m$$ wide by $$2.5m$$ long water bed weighs $$1025N$$. Find the pressure that the water bed exerts on the floor. Assume that the entire lower surface of the bed makes contact with the floor.

A horizontal pipeline carries water in a streamline flow. At a point along the tube where the cross sectional area is $$10^{-2}m^{2}$$ , the water velocity is 2m/s and the pressure is 8000 Pa. The pressure of water at another point wher cross sectional area is $$0.5 \times 10^{-2} m^{2}$$ is

The manometer shown below is used to measure the difference between water level of the two tanks. Calculate this difference for the conditions indicated.

A cylindrical vessel is filled with water up to height $$H$$. A hole is bored in the wall at a depth $$h$$ from the free surface of water. For maximum range, $$h$$ is equal to :-

In a hydraulic lift, used at a service station, the radius of the large and small piston is in the ratio of 20 : 1. What weight placed on the small piston will be sufficient to lift a car of mass 1500 kg?

The diagram (fig.) shows a venturimeter, through which water is flowing. The speed of water at a is 2 cm/sec. The speed of water at Y (taking $$g=1000\:cm/sec^{2}$$) is :-

(a) A force of $$200\;N$$ acts on an area of $$0.02\;m^2$$. Find the pressure in Pascal.
(b) What force will exert a pressure of $$50,000\ Pa$$ on an area of $$0.5\;m^2$$?
(c) Find out the area of a body which experiences a pressure of $$500\ Pa$$ by a force of $$100\;N$$.