The children are 26.10 m apart due to tension in the string.
Tension is a force along the length of a medium, especially a force carried by a flexible medium such as a rope or cable.
Tension in the string = F = 33 N
mass of the string = m = 0.44 kg
time taken to transmit the sound t = 0.59s
According to the formula of tension in the spring, F = μv²
μ = linear mass density of the string = (m/l)
As velocity is defined as the rate of change of distance with respect to time (t)here the distance is length (l) of the chord, therefore v = (l/t)
l = length of the string
Putting the corresponding values in the equation of Tension,
F = μv²
F = μ(l/t)²
(l/t)² = F/μ
(l/t)² = 33.l/m
l = ( 33 * 0.59² ) / 0.44
l = 26.10 m
Children are 26.10m apart.
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