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 4000 N/m (i. e.each of the four springs has a spring constant of 1000 N/m). 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?

4.77, approximately 5 cycles per minute

Step-by-step explanation:

For a loaded spring, the frequency of oscillation is given by

where Vis the mass of the load and is spring constant.

Substituting values in the question,

This value is in units of oscillations per second. To convert to oscillations per minute, we divide by or, in essence, multiply by 60.

Thus, we have

answer: slight chance that it will happen

step-by-step explanation:

definitely a. the others have almost all data points on one side of the line.

step-by-step explanation: