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24 November, 19:25

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?

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  1. 24 November, 20:50
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    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
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