Question

Asked Nov 11, 2019

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Two wave pulses travel on a string. The picture shows the displacement of the string *y* as a function of *x* at *t* = 0. The velocities of the wave pulses are shown.

1. At *t* = 2 s, what is the displacement of the string at the following values of *x*?

At *x* = 3.5 cm, *y* = ______ cm

At *x* = 4.5 cm, *y* = ______ cm

At *x* = 5.5 cm, *y* = ______ cm

2. At *t* = 3 s, what is the displacement of the string at the following values of *x*?

At *x* = 3.5 cm, *y* = ______ cm

At *x* = 4.5 cm, *y* = ______ cm

At *x* = 5.5 cm, *y* = ______ cm

Step 1

Calculating the y direction displacement of the string at given values of x at t = 2 s:

A graph has been constructed with orange color on the same given graph, which represent the position of the string at t = 2 s. As the velocity of pulse is 1 cm/s in x direction, so the wave will shift to 2 cm towards x-axis after 2 seconds. As shown in figure:

Hence, from diagram, we can observe that the displacement of the wave:

At x = 3.5 cm is y = 2 cm

At x = 4.5 cm is y = 1 cm

At x = 5.5 cm is y = 0 cm

Step 2

Calculating the y direction displacement of the string at given values of x at t = 3 s:

A graph has been constructed with orange color on the same given graph, which represent the position of the string at t = 3 s. As the velocity of pulse is 1 cm/s in x direction, ...

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