Mechanical Prop...

In a car lift, compressed air exerts a force $$F$$ on a small piston having a radius of $$5\ cm$$. This pressure is transmitted to a second piston of radius $$15\ cm$$. If the mass of the car to be lifted is $$1350\ kg$$, what is $$F$$?

The lower end of glass capillary tube is dipped in water.Water rises to a height of $$8cm$$.The Tube is then broken at a height of $$6cm$$. The height of water column and angle of contact will be 

The velocity of air over the upper surface of the wing of an aerplane is $$40m/s$$ and that on the lower surface is $$30m/s$$. If the area of the wing is $$5m^{2}$$ and the mass of the wing is $$300\ kg$$, the net force acting on the wing is (Density of air $$=1.3kg/m^{3}$$ and $$g=10m/s^{2}$$)

Consider a soap film on a rectangular frame of wire of area $$4 \times 4 cm^2$$. If the area of the soap film is increased to $$4 \times 5cm^2$$, the work done in the process will be (The surface tension of the soap film is $$3 \times 10^{-2} N/m$$)

A man of mass 100 kg stands on a wood plank of area $$4\, m^2$$. What is the pressure exerted on the floor? Assume the area of a human foot to be $$200\, cm^2$$.

A liquid is coming out from the orifice of tank and falls up to a maximum horizon distance of $$6m$$ . The height $$h$$ is equal to 

The base area of a boat is $$2m^{2}$$. A man weighing $$76kg$$ weight steps in to the boat. Calculate the depth in to which the boat sinks further in to water.

If the surface tension of a liquid increases proportional to the n th power of its density then what is the value of n -

A tank full of water has a small hole at its bottom. Let $${t_1}$$ be the time taken to empty first one thbird of the tank and $${t_2}$$ be the time taken to empty second one third of the tank and $${t_3}$$ be the time taken to empty rest of the tank then 

A liquid enters a tube of variable cross section with a velocity $$3\operatorname { ms } ^ { - 1 }$$ through the wider end and leaves from the narrow and whose radius is half of the wider one. The velocity with which it leaves the tube is: