A student performs an experiment with two springs, A and B, attached to each oth

Question

A student performs an experiment with two springs, A and B, attached to each other ar point J. One end of spring B is rigidly anchored to a wall. The student creates a pulse by quickly moving spring A up and down once. The student notes that the pulse travels more quickly in spring A than in spring B. (a) Is the tension in spring A greater than, less than or equal to the tension in spring B? Please explain. If there is not enough information to make this comparison, say so explicitly. (b) Is the mass per unit length of spring A greater than, less than or equal to the mass per unit length of spring B? Please explain. If there is not enough information to make this comparison, say so explicitly.

(c) The student then generates an asymmetric pulse in spring A that moves to the right as shown in the diagram below. On the diagram below, sketch the shape of springs A and B a short time after the pulse has reached junction J.

Explanation / Answer

If the pulse in string A travels at higher velocity compared to string B:

there aretwo factors associted:

1)tenion in the string

2) Mass per unit length

Higher the tension higher the speed of wave, also lesser the mass higher the speed of wave.

(a) One thing for sure that either tension is higher or mass perunit length is lower for String A compared to b , or the factors are in favour of String A , resulting in its higher velocity.

(b) Mass per unit length of string A is lesser than that of B, Acording to newton second law inertia of mass of particle also effets how quickly it respond to th upward pull of particle,wave travells faster on string whoes particle have smaller mass.

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