A hydraulic lifter (hydraulic press) is made up of a 10 cm diameter circular button and a rectangular platform measuring 2 m x 3 m. a) Calculate the force that must be exerted on the piston to lift a Mercedes (mass 1600 kg);
b) calculate the advantage (gain) of the lift.

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Suppose that a mass of 2 kg is attached a spring whose spring constant is 50. the system is damped such that b = 12 . the mass is set in motion with an initial velocity of -8 m/s at a position 0 meters from equilibrium. set up and solve a differential equation that models this motion. write your solution in the form a cos ( ω t − α ) where α is a positive number. use your solution to fill in the information below: what is the amplitude of the motion? what is the value of ω ? what is the phase shift?