Answer:
a) λ = 2 m
, c) Â f = 50 Hz
Explanation:
When a string is fixed at the ends the wave is reflected at each end, giving rise to a standing wave.
Since we extract them are fixed we have nodes at these points, the wavelength in the string is
fundamental    λ = 2L
2nd harmonic    λ= 2L / 2
3 harmonica     λ= 2L / 3
a and b) from aui we can find the wavelength
       λ = 2 3/3
       λ = 2 m
c) the speed of the wave is related to the frequency and wavelength
     v = λ f
     f = v / λ
     f = 100/2
     f = 50 Hz
d) the acceleration can be found with the equations
     a = d²y / dt²
the standing wave equation is
     y = 2A sin kx cos wt
     a = -2A w² sin kx cos wt
the acceleration is maximum when the cosine is ±1
     A = 2A w² sin kx
the oscillatory part indicates that the wave moves, if we make this maximum vine, they relate it to
     a = 2A w²
     w = 2πf
     A = 0.2 cm = 0.002 m
     a = 2 0.002 (2π 50)²
     a = 98.7 m / s
