A 1500 kg car is being lifted by a hydralic jack attached to a flat plate. Underneath the plate is a pipe with a top radius of 24 cm at the top and 2 cm at the bottom. To generate an upward acceleration for the car of 1.0 m/s^2, how much force must be applied to the small end of the pipe?

The force is

Explanation:

From the question we are told that

   The mass of the car is    

   The top radius of the pipe is

    The bottom radius is  

 Generally the area of the small end of the pipe is  

=>      

=>      

Generally the pressure in the pipe is mathematically represented as

Here  is the area of the larger opening of the pipe and this is mathematically represented as

=>  

=>  

Also  F is the force in the  at the larger opening(the top) of the pipe which mathematically evaluated as

=>      

=>      

So

Generally the force at the smaller opening of the pipe is  

=>  

=>