Explanation:
Wavelength = speed of light/frequency
Answer is
Constructive interference of two coherent waves will occur if the path difference is λ/2.
<h3>Constructive interference:</h3>
When two waves are in phase and their maxima add, a process known as constructive interference occurs where the combined amplitude of the two waves equals the sum of their individual amplitudes.
The resultant wave is created by adding the amplitudes of two waves that are in phase and traveling in the same direction. The waves in this instance are said to have experienced beneficial interference. The upward displacement of the medium is higher than the displacement of the two interfering pulses because upward displacement occurs when the waves experience constructive interference. When the phase difference between the waves is an even multiple of (180°), constructive interference happens.
Learn more about constructive interference here:
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Answer:
(a) x = 0.25 m
(b) v = 1.46 m/s
(c) v = 2.4 m/s
Explanation:
mass (m) = 10.3 kg
force from thrust (F) = 240 N
spring constant (k) = 400 N/m
stretch distance from thrust (y) = 30 cm = 0.3 m
acceleration due to gravity (g) = 9.8 m/s^{2}
(A) from mg = kx
compression (x) = mg/ k
x = 
x = 0.25 m
(B) from the conservation of forces
(Fy) + (0.5k
) = (0.5k
) + mgh + (0.5m
)
v = ![\sqrt{[tex]\frac{(Fy) + (0.5k[tex]x^{2}](https://tex.z-dn.net/?f=%5Csqrt%7B%5Btex%5D%5Cfrac%7B%28Fy%29%20%2B%20%280.5k%5Btex%5Dx%5E%7B2%7D)
) - (0.5k) - mgh }{0.5m}[/tex]}[/tex]
v = ![\sqrt{[tex]\frac{(240 x 0.3) + (0.5 x 400 x [tex]0.25^{2}](https://tex.z-dn.net/?f=%5Csqrt%7B%5Btex%5D%5Cfrac%7B%28240%20x%200.3%29%20%2B%20%280.5%20x%20400%20x%20%5Btex%5D0.25%5E%7B2%7D)
) - (0.5 x 400 x 
) - (10.3 x 9.8 x (0.25 + 0.3)) }{0.5 x 10.3}[/tex]}[/tex]
v = 1.46 m/s
(C) if the rocket weren't attached to the spring, the conservation of energy equation becomes
(Fy) + (0.5k) = mgh + (0.5m)
v = ) - mgh }{0.5m}[/tex]}[/tex]
v = ) - (10.3 x 9.8 x (0.25 + 0.3)) }{0.5 x 10.3}[/tex]}[/tex]
v = 2.4 m/s
