Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Equal wavelength waves of amplitude 0.25 m and 0.15 m interfere with one another

ID: 1613096 • Letter: E

Question

Equal wavelength waves of amplitude 0.25 m and 0.15 m interfere with one another. What is the resulting minimum amplitude that can result? a. 0.15 m b. 0.10 m c. 0 m d. -0.40 m e. 0.40 m The motion of a piston in an automobile engine is nearly simple harmonic. If the 1-kg piston travels back and forth over a total distance of 10.0 cm, what is its maximum speed when the engine is running at 3000 rpm? a. 31.4 m/s b. 15.7 m/s c. 5.91 m/s d. 7.85 m/s e. 3.93 m/s A simple pendulum and a mass oscillating on an ideal spring both have period T in an elevator at rest. If the elevator now accelerates downward uniformly at 2 m/s2, what is true about the periods of these two systems? a. Both periods would remain the same. b. Both periods would increase. c. Both periods would decrease.

Explanation / Answer

6) wave length is minimum when waves interfer as desctrive interference then minimum amplitude is

                                                                      Amin = A1 - A2 =0.10 m

7) maximum speed Vmax = AW = 0.5*300*6.28/60 = 15.7 m/s

8) both periods would be remains the same