An automobile can be considered to be mounted on four identical springs as far as vertical oscillations are concerned. The springs of a certain car are adjusted so that the oscillations have a frequency of 3.00Hz. (a) What is the spring constant of each spring if the mass of the car is 2110kg and the mass is evenly distributed over the springs? (b) What will be the oscillation frequency if five passengers, averaging 85.0kg each, ride in the car with an even distribution of mass?

Explanation

To solve the problem, we will break it down into two parts as given in the question.

### Part (a): Finding the Spring Constant

1. **Identify the Given Data**:
- Frequency of oscillation, \( f = 3.00 \, \text{Hz} \)
- Mass of the car, \( m = 2110 \, \text{kg} \)
- Number of springs, \( n = 4 \)
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