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if ( k = 20 , \text{n/m} ) for the individual \springs\ in experiment #…

Question

if ( k = 20 , \text{n/m} ) for the individual \springs\ in experiment #3, what is ( k_t ) for the system?

( \bigcirc ) 20 n/m

( \bigcirc ) 40 n/m

( \bigcirc ) 100 n/m

( \bigcirc ) 100 n/m

( \bigcirc ) 120 n/m

Explanation:

Step1: Recall Spring System Type

Assume Experiment #3 has 5 springs in parallel (common setup for such problems). For parallel springs, total spring constant \( k_T = n \cdot k \), where \( n \) is number of springs, \( k \) is individual spring constant.

Step2: Calculate \( k_T \)

Given \( k = 20 \, \text{N/m} \), if \( n = 5 \) (matches 100 N/m option: \( 5 \times 20 = 100 \, \text{N/m} \)), so \( k_T = 5 \times 20 = 100 \, \text{N/m} \).

Answer:

100 N/m (assuming the option with 100 N/m, likely the third or fourth option as per the list, e.g., C. 100 N/m or D. 100 N/m depending on labeling)