longitudinal wave is represented by the equation $\mathrm{z}(\mathrm{z}, \mathrm{t})=-2.0 \mathrm{~cm} \sin \left(1,200 \mathrm{rad} / \mathrm{s} \mathrm{t}-20 \mathrm{~m}^{-1} \mathrm{z}\right)$. Another longitudinal wave is represented by the equation $\mathrm{z}(\mathrm{z}, \mathrm{t})=+2.0 \mathrm{~cm} \sin \left(1,200 \mathrm{rad} / \mathrm{s} \mathrm{t}+20 \mathrm{~m}^{-1} \mathrm{z}\right)$. What is the equation that represents the superposition of the two waves?
A) $\mathrm{z}(\mathrm{z}, \mathrm{t})=+4.0 \mathrm{~cm} \cos (1,200 \mathrm{rad} / \mathrm{s} \mathrm{t}) \cos \left(20 \mathrm{~m}^{-1} \mathrm{z}\right)$
B) $\mathrm{z}(\mathrm{z}, \mathrm{t})=+4.0 \mathrm{~cm} \cos (1,200 \mathrm{rad} / \mathrm{s} \mathrm{t}) \sin \left(20 \mathrm{~m}^{-1} \mathrm{z}\right)$
C) $\mathrm{z}(\mathrm{z}, \mathrm{t})=-2.0 \mathrm{~cm} \cos (1,200 \mathrm{rad} / \mathrm{s} \mathrm{t}) \sin \left(20 \mathrm{~m}^{-1} \mathrm{z}\right)$
D) $\mathrm{z}(\mathrm{z}, \mathrm{t})=-4.0 \mathrm{~cm} \cos (1,200 \mathrm{rad} / \mathrm{s} \mathrm{t}) \sin (20 \mathrm{~m}-1 \mathrm{z})$

Question

Quizplus · Accepted Answer

The Answer of longitudinal wave is represented by the equation $\mathrm{z}(\mathrm{z}, \mathrm{t})=-2.0 \mathrm{~cm} \sin \left(1,200 \mathrm{rad} / \mathrm{s} \mathrm{t}-20 \mathrm{~m}^{-1} \mathrm{z}\right)$. Another longitudinal wave is represented by the equation $\mathrm{z}(\mathrm{z}, \mathrm{t})=+2.0 \mathrm{~cm} \sin \left(1,200 \mathrm{rad} / \mathrm{s} \mathrm{t}+20 \mathrm{~m}^{-1} \mathrm{z}\right)$. What is the equation that represents the superposition of the two waves?
A) $\mathrm{z}(\mathrm{z}, \mathrm{t})=+4.0 \mathrm{~cm} \cos (1,200 \mathrm{rad} / \mathrm{s} \mathrm{t}) \cos \left(20 \mathrm{~m}^{-1} \mathrm{z}\right)$
B) $\mathrm{z}(\mathrm{z}, \mathrm{t})=+4.0 \mathrm{~cm} \cos (1,200 \mathrm{rad} / \mathrm{s} \mathrm{t}) \sin \left(20 \mathrm{~m}^{-1} \mathrm{z}\right)$
C) $\mathrm{z}(\mathrm{z}, \mathrm{t})=-2.0 \mathrm{~cm} \cos (1,200 \mathrm{rad} / \mathrm{s} \mathrm{t}) \sin \left(20 \mathrm{~m}^{-1} \mathrm{z}\right)$
D) $\mathrm{z}(\mathrm{z}, \mathrm{t})=-4.0 \mathrm{~cm} \cos (1,200 \mathrm{rad} / \mathrm{s} \mathrm{t}) \sin (20 \mathrm{~m}-1 \mathrm{z})$

Longitudinal Wave Is Represented by the Equation z(z,t)=−2.0 cmsin⁡(1,200rad/st−20 m−1z)\mathrm{z}(\mathrm{z}, \mathrm{t})=-2.0 \mathrm{~cm} \sin \left(1,200 \mathrm{rad} / \mathrm{s} \mathrm{t}-20 \mathrm{~m}^{-1} \mathrm{z}\right)z(z,t)=−2.0 cmsin(1,200rad/st−20 m−1z)

Longitudinal Wave Is Represented by the Equation $\mathrm{z}(\mathrm{z}, \mathrm{t})=-2.0 \mathrm{~cm} \sin \left(1,200 \mathrm{rad} / \mathrm{s} \mathrm{t}-20 \mathrm{~m}^{-1} \mathrm{z}\right)$