The length of a spring is α when a force of 4 N is applied on it the length is β when 5 N forces is applied then the length of spring when 9N force is applied is:
Correct answer: D. 9(β - α)
- A. 5β - 4α
- B. β - α
- C. 5α -4β
- D. 9(β - α)
Explanation
The relationship between the force applied on a spring and the resulting displacement can be described by Hooke's Law, which states that the force (F) exerted on a spring is directly proportional to the displacement (x) from its equilibrium position. Mathematically, this can be expressed as:F=−kxwhere k is the spring constant.In this case, the force (F) is related to the change in length (Δx) of the spring, and we can write:F=kΔxThe change in length (Δx) is given by β−α.The correct option is:9(β - α)
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