Suppose that you are designing a new shock absorber for an automobile. the car has a mass of 1000 kg (kilograms) and the combined effect of the springs in the suspension system is that of a spring constant of 2000 n/m (i. e.each of the four springs has a spring constant of 500 n/m). 1. before a damping mechanism is installed in the car, when the car hits a bump it will bounce up and down. how may bounces will a rider experience in the minute right after the car hits a bump? alternatively, what is the frequency in cycles per minute? the car will bounce x times per minute 2. your job is to design a damping mechanism which eliminates oscillations when the car hits a bump. what is the minimum value of the effective damping constant that can be used? kg/sec. 3. suppose that at me 0 me the car was not moving up and down and the e ect of the bump he car hits a bump mmediate before that e speed sto add a vertical component o of the car of 1.0 meterlsec. how high will the car rise above its equilibrium position if you design the system with the damping constant you found in part (b)? it will rise meters above the equilibrium position x