Answer:
Correct answer: Fourth answer is correct x₂ = 1.5 inches
Step-by-step explanation:
The spring elastic force intensity is calculated according to the following formula:
F = k · x
where k is the spring elasticity coefficient and x is the elongation of the spring.
In this case F₁ = 37 pounds, x₁ = 2.22 inches, F₂ = 25 pounds and x₂ = ?
Since in both cases the same spring is taken then the coefficient of elasticity is the same.
k = F₁ / x₁ and k = F₂ / x₂ ⇒ F₁ / x₁ = F₂ / x₂ ⇒ x₂ = (F₂ · x₁) / F₁
x₂ = ( 25 · 2.22) / 37 = 1.5 inches
x₂ = 1.5 inches
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