To lift an object weighing 21000 n how much force is needed on a piston, with an area of .60 m2, if the platform being lifted has an area of 3.0m2?

4200 N

Explanation:

This problem can be solved by using Pascal's Law, which says that the pressure is equally transmitted through all the parts of a fluid. So, the pressure on the first piston is equal to the pressure on the second piston:

where:

is the force needed on the 1st piston

is the area of the 1st piston

is the force exerted by the 2nd piston (the weight of the object being lifted)

is the area of the second piston

Substituting into the equation, we find:

As per the condition of Pascal's law we know that

so here we will have

now we will have

so we need to apply 4200 N force on it