Question

A rubber band is stretched by 1.0 cm when a force of 0.35 N is applied to each end. If instead a force of 0.70 N is applied to each end, estimate how far the rubber band will stretch from its unstretched length: (a) 0.25 cm. (b) 0.5 cm. (c) 1.0 cm. (d) 2.0 cm. (e) 4.0 cm.

Short answer

The correct option is (d).

Step-by-step solution

Concept

The stress is proportional to the strain on an elastic body.For this problem, stress gets double; then, the strain will double.

Explanation

Here, the initial stress on the rubber band is 0.35 N.

The initial strain is 1.0 cm.

The final stress on the rubber band is 0.70 N.

For any elastic body, the stress is proportional to the strain on the body.

Here, the stress on the rubber band is doubled, then the strain will also be doubled. Therefore, the rubber band will stretch by 2.0 cm from the upstretched length.