Stretched 1 cm beyond its natural length, a rubber band exerts a restoring force of magnitude 2 newtons. Assuming that Hooke's Law applies, answer the following questions: (a) How far (in units of meters) will a force of 3 newtons stretch the rubber band?

0.015 or 1.5 cm

Explanation:

From hook's law,

F = ke ... Equation 1

Where F = Force, k = force constant of the rubber, e = extension of the rubber.

k = F/e ... Equation 2

e = F/k ... Equation 3

Given: F = 2 N, e = 1 cm = 0.01 m

Substitute into equation 2

k = 2/0.01

k = 200 N/m.

(a) When the force = 3 newton, I. e

F = 3 N, k = 200 N/m

Substitute into equation 3

e = 3/200

e = 0.015

e = 0.015 m or 1.5 cm.

Thus the force will stretch the rubber band by 0.015 m or 1.5 cm