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Q.

A 4.0 kg block is suspended from the ceiling of an elevator through a string having a linear mass density of 19.2 x 10^-3 kg / m. find the speed ( with respect to string) with which a wave pulse can proceed on a string if the elevator accelerate up at the rate of 2.0m/s². take g = 10m/s²,

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a

50ms^-1

b

100ms^-1

c

75ms^-1

d

25ms^-1

answer is B.

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Detailed Solution

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As elevator accelerates up at 2 m/s²
tension in the string is and T = m (g + a)
=4(10 + 2) = 48N
Linear mass density of string is
$μ$ = 19.2 x 10^-3 kg/m
Speed of transverse waves on string is
$\begin{array}{l} v = \sqrt{\frac{T}{μ}} \\ v = \sqrt{\frac{48}{19.2 \times 10^{- 3}}} \end{array}$
v = 50 m/s

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