A cable has a strain of 2.0 × 10^-3. If the unstretched length of the cable is 24.0 m, then the change in length of the cable is A) 35 mm. B) 48 mm. C) 52 mm. D) 59 mm. E) 67 mm.

Question

Quizplus · Accepted Answer

The change in length of the cable can be calculated using the formula for strain, which is the change in length (ΔL) divided by the original length (L0), so strain = ΔL / L0. Given a strain of 2.0 × 10^-3 and an original length (L0) of 24.0 m, we can rearrange the formula to solve for ΔL: ΔL = strain × L0 = 2.0 × 10^-3 × 24.0 m = 0.048 m, which is 48 mm.

A Cable Has a Strain of 2