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Answer :
Final answer:
The effective force constant of the combined springs is approximately 88.86 N/m.
Explanation:
When springs are connected in series, their effective force constant is given by the reciprocal of the sum of the reciprocals of their individual force constants.
Let's calculate the effective force constant (keff) for the given springs:
Given:
- Force constant of the first spring (ki) = 135 N/m
- Force constant of the second spring (kg) = 260 N/m
Using the formula 1/keff = 1/ki + 1/kg, we can substitute the given values:
1/keff = 1/135 + 1/260
To simplify the equation, we can find a common denominator:
1/keff = (260 + 135)/(135 * 260)
1/keff = 395/35100
Now, we can take the reciprocal of both sides to find the value of keff:
keff = 35100/395
Calculating this, we get:
keff ≈ 88.86 N/m
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