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Chapter 16: Q. 3 (page 451)

A 25 g string is under 20 N of tension. A pulse travels the length of the string in 50 ms. How long is the string?

Short Answer

Expert verified

The length of the string is 2 meters

Step by step solution

01

Step 1.  Write the given information

The mass of the string is m = 25g = 0.025kg

The tension of the string is T = 20N

The traveling time for the wave is t = 50ms

02

Step 2. To determine the length of the string

The speed of the wave is given by the expression
v=TmL⇒L∆t=TmL
squaring on both the sides
L2∆t2=TmL⇒L=Tm∆t2

substitute the known values
⇒L=20N0.025kg50×10-3sec2L=2m

Thus the length of the string is 2 meters




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