Q3. [16+16 = 32 points] Two linear springs are connected in parallel as shown below in Figure 3a. The spring constant of

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Q3. [16+16 = 32 points] Two linear springs are connected in
parallel as shown below in Figure 3a. The spring constant of spring
1 (k1) is 500 N/m. The spring constant of spring 2 (k2) is unknown.
When a force F = 200 N is applied to this spring system, an overall
elongation of 25 cm from equilibrium position is observed. (a)
Determine the unknown spring constant k2. (b) If the springs are
connected in series (as shown in Figure 3b), how much force will be
required to achieve the same overall elongation of 25 cm from the
equilibrium position?