The force of 12 N compresses the steel spring by 7.5 cm. How much force must be applied to compress this spring by 2.5 cm?
| February 26, 2021 | education
To calculate the required force to compress the taken spring by 2.5 cm, we use the equality: F1 / Δx1 = k (stiffness of the taken spring) = F2 / Δx2 and F2 = F1 * Δx2 / Δx1.
Values of variables: F1 – the first compression force (F1 = 12 N); Δx2 – required compression (Δx2 = 2.5 cm); Δx1 – initial compression (Δx1 = 7.5 cm).
Let’s calculate: F2 = F1 * Δx2 / Δx1 = 12 * 2.5 / 7.5 = 4 N.
Answer: To compress the taken spring by 2.5 cm, a force of 4 N is required.
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