Hydraulic lift surface area needed for 1000 kg car with 1 atm overpressure

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Homework Statement


A car is put into a garage higher by a hydraulic lift. How large should be the surface on which the vehicle rest if you to lift a vehicle of 1000kg higher with overpressure of 1 atm?

Homework Equations


[/B]
Pabsolue pressure = P atmos + P relative
P=F/A
F=m xa

The Attempt at a Solution


P absolute = 101325 Pa +101325 pa
1000kg x9.81 m/s^2 / (A) = 202650
1000kg x 9.81 =202650A
A= 1000x9.81 /202650
A=0.04840 m^2

But the answer should be 9,682.10-2 m 2
 
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Dr. Courtney said:
It's always a hint when your answer is off by very close to a factor of two.
I don't understand
 
What would be the net force produced using a closed cylinder containing air at atmospheric pressure?
 
Nanu Nana said:
I don't understand
Is there a vacuum above the car and the platform it stands on?
 
haruspex said:
Is there a vacuum above the car and the platform it stands on?
No there is no vacuum
 
Nanu Nana said:
No there is no vacuum
Right. So what force have you overlooked?
 
Dr. Courtney said:
It's always a hint when your answer is off by very close to a factor of two.
Thank you for helpful videos
 
Nanu Nana said:
Force of gravity?
What force is acting on the platform that would not act on it under a vacuum?