Be Careful With Waves!

Classical Mechanics Level 4

A wave travels on a light string . The equation of the wave is Y = A sin ⁡ ( k x − ω t + 30 ° ) Y= A \sin(kx-\omega t +30°) . It is reflected from a heavy string tied to an end of the light string at x = 0 x=0 . If 64 % 64 \% of the incident energy is reflected , the equation of the reflected wave is :

Y = 0.8 A sin ⁡ ( k x − ω t + 30 ° + 180 ° ) Y=0.8A\sin ( kx -\omega t +30°+180°) Y = 0.8 A sin ⁡ ( k x + ω t + 30 ° ) Y=0.8A\sin ( kx +\omega t +30°) Y = 0.8 A sin ⁡ ( k x + ω t + 30 ° + 180 ° ) Y=0.8A\sin ( kx +\omega t + 30° +180°) Y = 0.8 A sin ⁡ ( k x + ω t − 30 ° ) Y=0.8A\sin ( kx +\omega t -30°)

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