Spring #1 has spring constant 80 N/m.Spring #2 has an unknown spring constant,but when connected in series with Spring #1,the connected springs have an effective force constant of 10 N/m.What is the spring constant for Spring #2?

A) 70 N/m
B) 90 N/m
C) 9 N/m
D) 11 N/m
E) 85 N/m

Question

Spring #1 has spring constant 80 N/m.Spring #2 has an unknown spring constant,but when connected in series with Spring #1,the connected springs have an effective force constant of 10 N/m.What is the spring constant for Spring #2?
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A) 70 N/m
B) 90 N/m
C) 9 N/m
D) 11 N/m
E) ​85 N/m

Quizplus · Accepted Answer

When two springs are connected in series, their effective force constant is given by:

1/k = 1/k1 + 1/k2

where k1 and k2 are the individual force constants of the springs.

Substituting the given values, we get:

1/10 = 1/80 + 1/k2

Solving for k2, we get:

k2 = 11 N/m

Therefore, the answer is D - 11 N/m.

Spring #1 Has Spring Constant 80 N/m