When a certain rubber band is stretched a distance x, it exerts a restoring non constant force F

Name: When a certain rubber band is stretched a distance x, it exerts a restoring non constant force F = x + x^2. The work done in stretching this rubber band from 0 to L is: [worth 10%] A. L^2 + L^3 B. L C. L + 2L^2 D. 1 + 2L E. fracL^22 + fracL^33
Uploaded: 2023-07-24T18:55:23-08:00
Duration: 1 min 25 s
Channel: Madhur L
Description: When a certain rubber band is stretched a distance x, it exerts a restoring non constant force F = x + x^2. The work done in stretching this rubber band from 0 to L is: [worth 10%] A. L^2 + L^3 B. L C. L + 2L^2 D. 1 + 2L E. fracL^22 + fracL^33

Question

Maitreya E · Accepted Answer

1. We know that work done (W) is the integral of force (F) with respect to distance (x).

Question

When a certain rubber band is stretched a distance x, it exerts a restoring non constant force $F = x + x^2$. The work done in stretching this rubber band from 0 to L is: [worth 10%] A. $L^2 + L^3$ B. L C. $L + 2L^2$ D. $1 + 2L$ E. $frac{L^2}{2} + frac{L^3}{3}$

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