(Figure 1) shows a thin liquid film bounded on the right side by a sliding wire that is attached to a spring with spring constant 0.50 N/m. The spring is stretched by 1.4 cm. Figure 1 of 1 < > 0.50 N/m 6.0 cm Mai W Part A What is the liquid's surface tension in mN/m? Express your answer in millinewtons per meter. || ΑΣφ ? 7= mN/m

Question

09-12-2022
Physics

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(Figure 1) shows a thin liquid film bounded on the right side by a sliding wire that is attached to a spring with spring constant 0.50 N/m. The spring is stretched by 1.4 cm. Figure 1 of 1 < > 0.50 N/m 6.0 cm Mai W Part A What is the liquid's surface tension in mN/m? Express your answer in millinewtons per meter. || ΑΣφ ? 7= mN/m

Answer :

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kjuli1766 kjuli1766 · Answer 1 · 2022-12-16T15:23:14-05:00

The liquid's surface tension in mN/m is 58.33.

Surface tension is the tendency of the surface of a liquid at rest to contract into the smallest possible surface area. Surface tension allows objects denser than water, such as razor blades and insects, to float on the surface without being partially submerged.

Given:

Spring constant of the spring = k = 0.5 N/m

Distance by which the string is stretched = d = 1.4 cm = 0.014 m

Force of the spring on the wire = Fs

Fs = kd

Surface tension of the liquid = γ

Length of the sliding wire = L = 6 cm = 0.06 m

Surface tension force of the liquid on the wire = Ft

A liquid film has 2 surfaces therefore,

Ft = 2γL

The force of the spring on the wire and the surface tension force on the wire will be equal.

Fs = Ft

kd = 2γL

(0.5)(0.014) = 2γ(0.06)

0.007 = 0.12γ

γ = 0.05833 N/m

Converting the surface tension from Newton per meter to milli-Newton per meter, (1 N = 103 mN)

γ = (0.05833) x (103) mN/m

γ = 58.33 mN/m

Surface tension of the liquid = 58.33 mN/m

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