Ahydraulic system for a dentist's chair is designed to be able to lift 3,112 newtons. the surface area over which this force is applied is 707 cm 2 . what force must be applied to the activator end of the system if the button has a surface area of 3.14 cm 2 ? a: 700,700 n b: 1.41 n c: 0.0724 n d: 13.8 n

D. 13.8 N

Explanation:

This problem can be solved by applying Pascal's principle, which states that the pressure is transmitted equally through all of the parts of the fluid inside the hydraulic system. So, the pressure on the two ends of the system is equal:

where:

is the force on the first piston

is the surface area of the first piston

is the force to be applied on the activator end

is the surface area of the activator end

Re-arranging the equation, we get:

moving ball hits still ball. mover stops, hit ball moves. momentum transfer.

reserve is the answer