Posted by **andrew** on Wednesday, May 2, 2012 at 2:35am.

Tension is maintained in a string. The observed wave speed is 21 m/s when the suspended mass is 3.0 kg.

a) What is the mass per unit length of the string? (in kg/m)

b) What is the wave speed when the suspended mass is 1.6 kg? (in m/s)

- physics -
**Elena**, Wednesday, May 2, 2012 at 4:10pm
(a)

Velocity in the stretched string is

v = sqrt(T/mₒ),

T = m•g,

v = sqrt(m•g/mₒ),

mₒ =m•g/v² = 3•9.8/21² = 0.067 kg/m.

(b)

v1 = sqrt(T1/mₒ) = sqrt(m1•g/mₒ) =

= sqrt(1.6•9.8/ 0.067)= 15.3 m/s.

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