A force of 10n stretches the spring by 2cm. what is the force that stretches this spring 7cm?

Initial data: F1 (the first tensile force of the spring) = 10 N; Δx1 (first tension of the spring) = 2 cm; Δx2 (second spring tension) = 7 cm.

Since one and also a spring is stretched (the spring stiffness is constant), then the second tensile force is determined from the equality: F1 / Δх1 = F2 / Δх2, whence F2 = F1 * Δх2 / Δх1.

Calculation: F2 = 10 * 7/2 = 35 N.

Answer: A force of 35 N will stretch the spring by 7 cm.



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