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6. A mass attached to a spring sliding on a frictionless surface is traveling right at 4 m/s when it reaches the spring's x = 0 equilibrium point at t = 0. A bit later, when it has stretched the spring 1 cm, it has slowed to 3 m/s. The simple harmonic motion of this mass is described by the equation x(t) = xm cos(wt + p). A) What is w in rad/s? B) What is xm in cm? C) What is o in radians? 4 m/s t=0 mm 20 g x=0 1>0 mmm 3 m/s 20 g 1 x=1 cm

6. A mass attached to a spring sliding on a frictionless surface is traveling right at 4 m/s when it reaches the spring's x = 0 equilibrium point at t = 0. A bit later, when it has stretched the spring 1 cm, it has slowed to 3 m/s. The simple harmonic motion of this mass is described by the equation x(t) = xm cos(wt + p). A) What is w in rad/s? B) What is xm in cm? C) What is o in radians? 4 m/s t=0 mm 20 g x=0 1>0 mmm 3 m/s 20 g 1 x=1 cm

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ng the e h? ers nt at 4. The solid line below is a graph of pressure vs. position for a harmonic pressure wave in air (a sound wave) with a speed of 330 m/s, an amplitude of 60 Pa, and a frequency of 400 Hz. The dotted line is the graph of a 2nd sound wave, also with a speed of 330 m/s. What is the A) amplitude, B) angular frequency, and C) wavenumber of this 2nd wave? MA X 5. Keeping in mind that the moment of inertia of a solid sphere is/ = MR², consider a solid sphere with radius 4 cm rolling without slipping along the landscape shown. If the ball at the initial position at left has a speed of 3 m/s, what is its speed at the top of the 0.5 m hill? 1.0 m 3 m/s 0.5 m 0 m 6. 4 m/s t=0 mor 20 g A mass attached to a spring sliding on a frictionless surface is traveling right at 4 m/s when it reaches the spring's x = 0 equilibrium point at t = 0. A bit later, when it has stretched the spring 1 cm, it has slowed to 3 m/s. The simple harmonic motion of this mass is described by the equation x(t) = xm cos(wt + p). x = t>0 oooooo 20 g A) What is w in rad/s? x = 1 cm B) What is xm in cm? C) What is o in radians? P 3 m/s
Transcribed Image Text:ng the e h? ers nt at 4. The solid line below is a graph of pressure vs. position for a harmonic pressure wave in air (a sound wave) with a speed of 330 m/s, an amplitude of 60 Pa, and a frequency of 400 Hz. The dotted line is the graph of a 2nd sound wave, also with a speed of 330 m/s. What is the A) amplitude, B) angular frequency, and C) wavenumber of this 2nd wave? MA X 5. Keeping in mind that the moment of inertia of a solid sphere is/ = MR², consider a solid sphere with radius 4 cm rolling without slipping along the landscape shown. If the ball at the initial position at left has a speed of 3 m/s, what is its speed at the top of the 0.5 m hill? 1.0 m 3 m/s 0.5 m 0 m 6. 4 m/s t=0 mor 20 g A mass attached to a spring sliding on a frictionless surface is traveling right at 4 m/s when it reaches the spring's x = 0 equilibrium point at t = 0. A bit later, when it has stretched the spring 1 cm, it has slowed to 3 m/s. The simple harmonic motion of this mass is described by the equation x(t) = xm cos(wt + p). x = t>0 oooooo 20 g A) What is w in rad/s? x = 1 cm B) What is xm in cm? C) What is o in radians? P 3 m/s
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