Question

Two waves on one string are described by the wave functions

Answer 1

Answer:

a) $y_{R} (1.00,1.00) = -0.546\,cm$, b) $y_{R} (1.00,0.50) = -4.311\,cm$, c) $y_{R} (0.50,0.00) = 2.278\,cm$

Explanation:

The principle of superposition points out that:

$y_{R}(x,t) = \Sigma^{n}_{i=1} y_{i} (x,t)$

Then, the results are:

a) $y_{R} (1.00, 1.00) = y_{1} (1.00,1.00) + y_{2} (1.00,1.00)$

$y_{R} (1.00,1.00) = -0.546\,cm$

b) $y_{R} (1.00, 0.50) = y_{1} (1.00,0.50) + y_{2} (1.00,0.50)$

$y_{R} (1.00,0.50) = -4.311\,cm$

c) $y_{R} (0.50, 0.00) = y_{1} (0.50,0.00) + y_{2} (0.50,0.00)$

$y_{R} (0.50,0.00) = 2.278\,cm$