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

yo answer should be 6 if im not mistaken

step-by-step explanation:

15

step-by-step explanation:

we are given the following expression and we are to solve it and find the product:

-13 × (-5)

solving the given expression in the standard order of solving a mathematical expression, beginning with the opening of brackets and then multiplying the terms and changing their signs.

-3 × -5 = 15 (answer is positive because when negative is multiplied with negative, it gives a positive answer)