Calculate the force that must be exerted on the master cylinder of a hydraulic system to lift a 10,000 kg truck with the slave cylinder. The master cylinder has a diameter of 1.50 cm and the slave has a diameter of 30.0 cm.

245N

Explanation:

pressure =

Force = mg

g=9.8m/s²

Area = πd²/4

Assuming the pressure across the hydraulic system is constant, then;

=

F₁ = Force on master cylinder

A₁ = Area of master cylinder

F₂ = Force on slave cylinder

A₂ = Area of slave cylinder

F₂ = mg

=10000 × 9.8

= 98000N

A₂ = πd² / 4

=π30²/4

=π900/4

=225π

A₁ = πd²/4

=π1.5²/4

=π2.25/4

=π0.562

recall, =

=

= 0.5625 × 98000 / 225π

F₁ = 0.0025 × 98000

=245N

increasing transnational kinetic energy. because the transnational kinetic energy formula consists of only two variables, mass and velocity, increasing one of those properties is the only way to increase an object's transnational kinetic energy. increases to mass and velocity, however, do not have the same impact.