Home
Class 9
PHYSICS
A car of mass 1400 kg placed on the plat...

A car of mass 1400 kg placed on the platform in a service station has to be lifted up. The area of the press piston to which the platform is `5m^(2)`. Determine the force that has to be applied on the piston of pump cylinder having an area of cross section `0*25m^(2)`.
(Take g = 10 m `s^(-2))`

Text Solution

Verified by Experts

Given, mass of the car, m=1400 kg
`:.` weight of the car = force on the press piston = `mg=1400xx10=14000` N
area of the pressure piston, `a_(2)=5m^(2)`
area of the pump piston, `a_(1)=0*25m^(2)`
Let the force to be applied on the pump piston be `'F_(1)'`
`:.(F_(1)/a_(2))=(F_(2)/(a_(2)))`
`rArrF_(1)=((F_(2))/(a_(2)))xxa_(1)=(14000)/(5)xx0*25=700N`.
Promotional Banner

Topper's Solved these Questions

  • HYDROSTATICE

    PEARSON IIT JEE FOUNDATION|Exercise TEST YOUR CONCEPTS VERY SHORT ANSWER TYPE QUESTION|29 Videos

  • HYDROSTATICE

    PEARSON IIT JEE FOUNDATION|Exercise SHORT ANSWER TYPE QUESTION|13 Videos

  • HEAT

    PEARSON IIT JEE FOUNDATION|Exercise All Questions|115 Videos

  • LIGHT

    PEARSON IIT JEE FOUNDATION|Exercise Level 3|10 Videos

Similar Questions

Explore conceptually related problems

A car is lifted by a hydraulic jack that consists of two pistons. The diameter of the larger piston is 2 m and that of the smaller piston is 50 cm. If the force applied on the smaller piston is 240 N, find the weight of the car.

A man with mass 85 kg stands on a platform with mass 25 kg. He pulls on the free end of a rope that runs over a pulley on the ceiling and has its other end fastened to the platform. The mass of the rope and the mass of the pulley can be neglected, and the pulley is frictionless. With what force does he have to pull so that he and the platform have an upward acceleration of 2.2m/s^(2) . (Take g= 10m/s^(2) )

A cylinder fitted with piston as shown in figure. The cylinder is filled with water and is taken to a place where there is no gravity mass of the piscton is 50 kg. the system is accelerated with acceleration 0.5m//sec^(2) in positive x-direction find the force exerted by fluid on the surface AB of the cylinder in decanewton. Take area of cross-section of cylinder to be 0.01 m^(2) and neglect atmospheric pressure (1 deca newton=10N)

To lift an automobile of 200 kg. a hydraulic pump with a larger piston 900cm^(2) in area is employed. Calculate the force that must be applied to pump a small piston of area 10cm^(2) to accomplish this task.

A crane lifts a mass of 100 kg to a height of 10 m in 20 s. The power of the crane is (Take g = 10 m s^(-2) )

An object of mass 100 kg is to be lifted by a 10 kg effort. The possible values of the area of cross sections of the pump piston and press piston are ____ and ____, repectively, both in the same unit.

Figure shows a hydraulic press which the larger piston of diameter 35 cm at a height of 1.5 m relative to the smaller piston of diameter 10 cm. The mass on the smaller piston is 20 kg. What is the force exerted on the load by the larger piston. The density of oil in the press is 750 kg//m^(3) . Takes g = 9.8 m//s^(2) .