In a hydraulic life, the surface area of the input piston is `10cm^`. The surface area of the output piston is `3000 cm^`.A 100 N force applied to the onput piston raises the output piston.Calulate the force required to raise the output piston.

Two piston of a hydraulic lift have diameters of 60 cm and 5 cm. What is the force exerted by the larger piston when 50 N is placed on the smaller piston ?

Figure shows a liquid being pushed out of a tube by pressing a piston. The area of cross section of the piston is 1.0 cm^2 and that of the tube at the outlet is 20 mm^2 . If the piston is pushed at a speed of 2cms^-1 . What is the speed of the outgoing liquid?

The area of cross section of the wider tube shown in figure is 900 cm^2 . If the boy standing on the piston weights 45 kg, find the difference in the levels of water in the two tubes.

A hydraulic system is used to lift a 2000 kg vehicle in an auto garage. If the vehicle sits on a piston of area 0.5 m^(2) , m, and a force is applied to a piston of area 0.03m^(2) , what is the minimum force that must be applied to lift the vehicle? Given: Area covered by the vehicle on the piston A_(1) = 0.5 m^(2) Weight of the vehicle , F_(1) = 2000 kg xx 9.8 m s^(-2) Area on which force F_(2) is aplied , A_(2) = 0.03 m^(2)

A particle of mass 10g is kept on the surface of a uniform sphere of mass 100 kg and radius 10 cm. Find the work to done against the gravitational force between them to take the particle is away from the sphere.

A gas is enclosed in a cylindrical vessel fitted with a frictionless piston.the gas is slowly heated for some time. During the process, 10 J of heat is supplied and the piston is found to move out 10cm. Find the increase in the internal energy of the gas, the area of cross section of the cylinder= 4 cm^(2) and the atmospheric pressure =100 kPa.

A vertical cylinder of height 100cm contains air at a constant temperature. The top is closed by a friction less light piston. The atmospheric pressure is equal to 75 cm of mercury. Mercury is slowly poured over the piston. Find the maximum height of the mercury column that can be put on the piston.

An ideal monatonic gas is confined in a cylinder by a spring-loaded piston of cross section 8.0xx10^(-3) m^(2). initially the gas is at 300K and occupies a volume of 2.4xx10^(-3)m^(-3) and the sprinng is in its relaxed state. The gas is heated by a small heater until the piston moves out slowly by 0.1m. Calculate the final tempreture of the gas. The force constant if the spring is 8000Nm^(-1) ,and the atmospheric pressure is 1.0xx10^(5)Nm^(-2) . the cylinder and the piston are thermally insulated. The piston and the spring are massless and there is no friction between the piston and the cylinder. Neglect any heat-loss through the lead wires of the heater. The heat capacity of the heater coil is negligible. assume the spring to be massless