The drawing shows two strings that have the same length and linear density. The left end of each string is attached to a wall, while the right end passes over a pulley and is connected to objects of different weights (WA and WB). Different standing waves are set up on each string, but their frequencies are the same. If WA = 48 N, what is WB?

WB = 12 N

Explanation:

Solution:

- The relationship between wavelength (λ) and velocity (v) is given as:

                                       v  ∝ λ

- Both wavelength and and velocity are proportional. For the case B, we see that wavelength λ is halved. From using the above relation we can also say that velocity (v) is also halved.

- The relationship between velocity (v) and tension force (T) in the string is given by:

                                      v^2 ∝ T  

- We saw that if wavelength (λ) is halved, velocity (v) is halved then from the above relationship we see that Tension force T is reduced 4 times.

- Since the tension force T in part A is:

                                      TA = m*g = WA = 48

- The Tension force in part B, TB is reduced 4 times as follows:

                                      TB = 0.25*m*g = WB = 12 N

ι вєℓιєνє ιт ιѕ тнє fιяѕт ¢нσι¢є(α.)

нє ѕнσυℓ∂ ѕмιℓє ρσℓιтℓу αи∂ ѕρєαк тσ тнє ρєяѕσи ωнσ ιѕ ιитєяяυριиg αfтєя тнє ∂ιѕ¢υѕѕισи

нσρє ι ¢συℓ∂ нєℓρ.

the total distance that martina travels that day is

(distance from home to mom's office) plus (distance from mom's office to school)

plus (distance from school to library) plus (distance from library to friend's house)

plus (distance from friend's house to martina's house).

(we don't know what any of these distance actually is.)