Q&A Hero

Q: A wave traveling to the right on a stretched string is shown below. The direction of the instantaneous velocity of the point P on the string is:E) no direction since v= 0

Q: The transverse wave shown is traveling from left to right in a medium. The direction of the instantaneous velocity of the medium at point P is:E) no direction since v= 0

Q: Here are equations for three waves traveling on separate strings. Rank them according to the maximum transverse speed, least to greatest.wave 1: y(x,t) = (2.0 mm) sin [(4.0 m-1)x- (3.0 s-1)t]wave 2: y(x,t) = (1.0 mm) sin [(8.0 m-1)x- (4.0 s-1)t]wave 3: y(x,t) = (1.0 mm) sin [(4.0 m-1)x- (8.0 s-1)t]A) 1, 2, 3B) 1, 3, 2C) 2, 1, 3D) 2, 3, 1E) 3, 1, 2

Q: Any point on a string carrying a sinusoidal wave is moving with its maximum speed when: A) the magnitude of its acceleration is a maximum B) the magnitude of its displacement is a maximum C) the magnitude of its displacement is a minimum D) the magnitude of its displacement is half the amplitude E) the magnitude of its displacement is one fourth the amplitude

Q: A sinusoidal transverse wave is traveling on a string. Any point on the string: A) moves in the same direction as the wave B) moves in simple harmonic motion with a different frequency than that of the wave C) moves in simple harmonic motion with the same angular frequency as the wave D) moves in uniform circular motion with a different angular speed than the wave E) moves in uniform circular motion with the same angular speed as the wave

Q: A long string is constructed by joining the ends of two shorter strings. The tension in the strings is the same but string I has 4 times the linear mass density of string II. When a sinusoidal wave passes from string I to string II: A) the frequency decreases by a factor of 4 B) the frequency decreases by a factor of 2 C) the wavelength decreases by a factor of 4 D) the wavelength decreases by a factor of 2 E) the wavelength increases by a factor of 2

Q: A source of frequency f sends waves of wavelength traveling with speed vin some medium. If the frequency is changed fromf to 2f,then the new wavelength and new speed are (respectively):A) 2 vB) /2, vC) , 2vD) , v/2E) /2, 2v

Q: Let f be the frequency, vthe speed, and Tthe period of a sinusoidal traveling wave. The angular frequency is given by:A) 1/TB) 2/TC) vTD) f/TE) T/f

Q: Letf be the frequency, vthe speed, and Tthe period of a sinusoidal traveling wave. The correct relationship is: A) f = 1/T B) f = v+ T C) f = vT D) f = v/T E) f = T/v

Q: For a given medium, the frequency of a wave is: A) independent of wavelength B) proportional to wavelength C) inversely proportional to wavelength D) proportional to the amplitude E) inversely proportional to the amplitude

Q: Sinusoidal water waves are generated in a large ripple tank. The waves travel at 20 cm/s and their adjacent crests are 5.0 cm apart. The time required for each new whole cycle to be generated is: A) 100 s B) 4.0 s C) 2.0 s D) 0.5 s E) 0.25 s

Q: Water waves in the sea are observed to have a wavelength of 300 m and a frequency of 0.07 Hz. The speed of these waves is: A) 0.00023 m/s B) 2.1 m/s C) 21 m/s D) 4300 m/s E) none of these

Q: The displacement of a string is given byThe speed of the wave is:

Q: For a transverse wave on a string the string displacement is described by y(x,t) =f(x-at) wheref is a given function and ais a positive constant. Which of the following does NOT necessarily follow from this statement?A) The shape of the string at time t= 0 is given byf(x).B) The shape of the waveform does not change as it moves along the string.C) The waveform moves in the positive xdirection.D) The speed of the waveform is a.E) The speed of the waveform is x/t.

Q: The displacement of a string is given byThe wavelength of the wave is:

Q: A wave is described by y(x,t) = 0.1 sin(3x- 10t), where xis in meters, y is in centimeters and tis in seconds. How long does it take the wave to travel 2.0 m?A) 0.6 sB) 1.0 sC) 3.0 sD) 6.7 sE) 10 s

Q: Two waves are traveling on two different strings. The displacement of one is given by and of the other by . What is the difference between these two waves?A) The displacement of wave y1is always greater than the displacement of wave y2.B) Wave y1has a smaller amplitude than wave y2.C) Wave y1has a higher frequency than wave y2.D) Wave y1has a shorter wavelength than wave y2.E) The two waves are identical except for their displacement at time t= 0.

Q: This plot shows the displacement of a string as a function of time, as a sinusoidal wave travels along it. Which letter corresponds to the period of the wave?A) AB) BC) CD) DE) E

Q: This plot shows the displacement of a string as a function of time, as a sinusoidal wave travels along it. Which letter corresponds to the amplitude of the wave?A) AB) BC) CD) DE) E

Q: In the diagram below, the interval PQ represents:A) wavelength/2B) wavelengthC) 2 x amplitudeD) period/2E) period

Q: A sinusoidal wave is traveling toward the right as shown. Which letter correctly labels the wavelength of the wave? A) A B) B C) C D) D E) E

Q: A sinusoidal wave is traveling toward the right as shown. Which letter correctly labels the amplitude of the wave? A) A B) B C) C D) D E) E

Q: A wave is described by y(x,t) = 0.1 sin(3x- 10t), where xis in meters, yis in centimeters and tis in seconds. At time t= 0, the point at x= 0 has a vertical displacement y= 0.0 cm. When is its displacement equal to 0.1 cm?A) 0.16 sB) 0.47 sC) 2.5 sD) 7.5 sE) 10 s

Q: The displacement of a string carrying a traveling sinusoidal wave is given byAt time t= 0 the point at x= 0 has velocity v0and displacement y0. The phase constant is given by tan =:

Q: The displacement of a string carrying a traveling sinusoidal wave is given byAt time t= 0 the point at x= 0 has a velocity of 0 and a positive displacement. The phase constant is:A) 45°B) 90°C) 135°D) 180°E) 270°

Q: The displacement of a string carrying a traveling sinusoidal wave is given byAt time t= 0 the point at x= 0 has a displacement of 0 and is moving in the positive y direction. The phase constant is:A) 0°B) 90°C) 135°D) 180°E) 270°

Q: A wave is described by y(x,t) = 0.1 sin(3x- 10t), where xis in meters, yis in centimeters and tis in seconds. The angular frequency is:A) 0.10 rad/sB) 3.0 rad/sC) 10rad/sD) 20rad/sE) 10 rad/s

Q: A wave is described by y(x,t) = 0.1 sin(3x+ 10t), where xis in meters, yis in centimeters and tis in seconds. The angular wave number is:A) 0.10 rad/mB) 3rad/mC) 10 rad/mD) 10rad/mE) 3.0 rad/m

Q: Three traveling sinusoidal waves are on identical strings, with the same tension. The mathematical forms of the waves are y1(x,t) = ymsin(3x- 6t), y2(x,t) = ymsin(4x- 8t), and y3(x,t) = ymsin(6x- 12t), where xis in meters and tis in seconds. Match each mathematical form to the appropriate graph below.A) y1: i, y2: ii, y3: iiiB) y1: iii, y2: ii, y3: iC) y1:i, y2: iii, y3: iiD) y1: ii, y2: i, y3: iiiE) y1: iii, y2: i, y3: ii

Q: What is the difference between transverse and longitudinal waves? A) Mechanical waves are transverse waves while electromagnetic waves are longitudinal. B) Plane waves are transverse waves while spherical waves are longitudinal. C) Only longitudinal waves transmit matter. D) Only transverse waves transmit energy. E) In transverse waves the displacement is perpendicular to the direction of propagation of the wave, while in longitudinal waves the displacement is parallel to the direction of propagation.

Q: What are the three main types of waves? A) transverse, longitudinal, linear B) plane, spherical, transverse C) mechanical, electromagnetic, matter D) transverse, linear, water E) plane, longitudinal, mechanical

Q: A traveling sinusoidal wave is shown below. At which point is the motion 180ï‚°out of phase with the motion at point P?A) AB) BC) CD) DE) E

Q: The period of a simple pendulum is 1 s on Earth. When brought to a planet where gis one-tenth that on Earth, its period becomes: A) 1 s B) s C) 1/10 s D) s E) 10 s

Q: The angular displacement of a simple pendulum is given by . If the pendulum is 45 cm in length, and is given an angular speed d/dt= 3.4 rad/s at time t= 0, when it is hanging vertically, what is m?A) 4.6 radB) 3.4 radC) 1.4 radD) 0.73 radE) 0.45 rad

Q: The angular frequency of a simple pendulum depends on its length and on the local acceleration due to gravity. The rate at which the angular displacement of the pendulum changes, d/dt, is:A) B) C) 2D) E) none of the above

Q: At the instant its angular displacement is 0.32 rad, the angular acceleration of a physical pendulum is -630 rad/s2. What is its angular frequency of oscillation? A) 6.6 rad/s B) 14 rad/s C) 20 rad/s D) 44 rad/s E) 200 rad/s

Q: Two uniform spheres are pivoted on horizontal axes that are tangent to their surfaces. The one with the longer period of oscillation is the one with: A) the larger mass B) the smaller mass C) the larger rotational inertia D) the smaller rotational inertia E) the larger radius

Q: A meter stick is pivoted at a point a distance afrom its center and swings as a physical pendulum. Of the following values for a, which results in the shortest period of oscillation? A) a= 0.1 m B) a= 0.2 m C) a= 0.3 m D) a= 0.4 m E) a= 0.5 m

Q: Which of the following is the difference between a simple pendulum and a physical pendulum? A) The physical pendulum does not rotate around its center of mass. B) The physical pendulum does not depend on the acceleration of gravity. C) The physical pendulum has an extended mass. D) The simple pendulum has a small amplitude. E) The physical pendulum rotates around its center of mass.

Q: A simple pendulum has length Land period T. As it passes through its equilibrium position, the string is suddenly clamped at its mid-point. The period then becomes: A) 2T B) T C) T/2 D) T/4 E) none of the above

Q: A simple pendulum of length Land mass Mhas frequency f. To increase its frequency to 2f: A) increase its length to 4L B) increase its length to 2L C) decrease its length to L/2 D) decrease its length to L/4 E) decrease its mass to < M/4

Q: If the length of a simple pendulum is doubled, its period will: A) halve B) increase by a factor of C) decrease by a factor of D) double E) remain the same

Q: Which of the following is NOT required for a simple pendulum undergoing simple harmonic oscillation? A) a point mass B) a massless string C) a small amplitude D) gravitational force E) a large spring constant

Q: Five hoops are each pivoted at a point on the rim and allowed to swing as physical pendulums. The masses and radii are hoop 1: M= 150g and R= 50 cm hoop 2: M= 200g and R= 40 cm hoop 3: M= 250g and R= 30 cm hoop 4: M= 300g and R= 20 cm hoop 5: M= 350g and R= 10 cm Order the hoops according to the periods of their motions, smallest to largest. A) 1, 2, 3, 4, 5 B) 5, 4, 3, 2, 1 C) 1, 2, 3, 5, 4 D) 1, 2, 5, 4, 3 E) 5, 4, 1, 2, 3

Q: Three physical pendulums, with masses m1, m2= 2m1, and m3= 3m1, have the same shape and size and are suspended at the same point. Rank them according to their periods, from shortest to longest. A) 1, 2, 3 B) 3, 2, 1 C) 2, 3, 1 D) 2, 1, 3 E) All three are the same

Q: A simple pendulum consists of a small ball tied to a string and set in oscillation. As the pendulum swings the tension in the string is: A) constant B) a sinusoidal function of time C) the square of a sinusoidal function of time D) the reciprocal of a sinusoidal function of time E) none of the above

Q: A simple pendulum is suspended from the ceiling of an elevator. The elevator is accelerating upwards with acceleration a. The period of this pendulum, in terms of its length L, gand ais: A) B) C) D) E)

Q: The amplitude of oscillation of a simple pendulum is increased from 1°to 4°. Its maximum acceleration changes by a factor of:A) 1/4B) 1/2C) 2D) 4E) 16

Q: A disk whose rotational inertia is 450 kgm2hangs from a wire whose torsion constant is 2300 Nm/rad. When its angular displacement is -0.23 rad, what is its angular acceleration?A) 1.0 x 10-2rad/s2B) 4.5 x 10-2rad/s2C) 0.23 rad/s2D) 0.52 rad/s2E) 1.2 rad/s2

Q: A disk whose rotational inertia is 450 kgm2hangs from a wire whose torsion constant is 2300 Nm/rad. What is the angular frequency of its torsional oscillations? A) 0.20 rad/s B) 0.44 rad/s C) 1.0 rad/s D) 2.3 rad/s E) 5.1 rad/s

Q: An angular simple harmonic oscillator is displaced 5.2 x 10-2rad from its equilibrium position. If the torsion constant is 1200 Nm/rad, what is the torque? A) 12 Nm B) 23 Nm C) 43 Nm D) 52 Nm E) 62 Nm

Q: An angular simple harmonic oscillator: A) oscillates at an angle to the xaxis B) oscillates along the yaxis C) involves an angular displacement and a restoring torque D) involves an angular displacement and a restoring force E) involves a linear displacement and a restoring torque

Q: A particle is in simple harmonic motion along the xaxis. The amplitude of the motion is xm. When it is at x= x1, its kinetic energy is K= 5J and its potential energy (measured with U= 0 at x= 0) is U= 3J. When its potential energy is 8 J, it is at: A) x= 0 B) x= x1 C) x= xm/2 D) x= xm/ E) x= xm

Q: A particle is in simple harmonic motion along the xaxis. The amplitude of the motion is xm. When it is at x= x1, its kinetic energy is K= 5J and its potential energy (measured with U= 0 at x= 0) is U= 3J. When its kinetic energy is 8 J, it is at: A) x= 0 B) x= x1 C) x= xm/2 D) x= xm/ E) x= xm

Q: A particle is in simple harmonic motion along the xaxis. The amplitude of the motion is xm. When it is at x= x1, its kinetic energy is K= 5 J and its potential energy (measured with U= 0 at x= 0) is U= 3 J. When it is at x= -1/2 xm, its total energy is:A) 0 JB) 3 JC) 4 JD) 5 JE) 8 J

Q: A mass-spring system is oscillating with amplitude A. The kinetic energy will equal the potential energy only when the displacement isA) 0B) ±A/4C) D) ±A/2E) anywhere between -Aand +A

Q: A block attached to a spring undergoes simple harmonic motion on a horizontal frictionless surface. Its total energy is 50 J. When the displacement is half the amplitude, the kinetic energy is: A) 0 J B) 12.5 J C) 25 J D) 37.5 J E) 50 J

Q: An object on the end of a spring is set into oscillation by giving it an initial velocity while it is at its equilibrium position. In the first trial the initial velocity is v0and in the second it is 4v0. In the second trial: A) the amplitude is half as great and the maximum acceleration is twice as great B) the amplitude is twice as great and the maximum acceleration is half as great C) both the amplitude and the maximum acceleration are twice as great D) both the amplitude and the maximum acceleration are four times as great E) the amplitude is four times as great and the maximum acceleration is twice as great

Q: A 0.25-kg block oscillates on the end of the spring with a spring constant of 200 N/m. If the oscillation is started by elongating the spring 0.15 m and giving the block a speed of 3.0 m/s, then the amplitude of the oscillation is: A) 0.13 m B) 0.18 m C) 3.7 m D) 5.2 m E) 13 m

Q: A 0.25-kg block oscillates on the end of the spring with a spring constant of 200 N/m. If the oscillation is started by elongating the spring 0.15 m and giving the block a speed of 3.0 m/s, then the maximum speed of the block is: A) 0.13 m/s B) 0.18 m/s C) 3.7 m/s D) 5.2 m/s E) 13 m/s

Q: A 0.25-kg block oscillates on the end of the spring with a spring constant of 200 N/m. If the system has an energy of 6.0 J, then the maximum speed of the block is: A) 0.06 m/s B) 0.17 m/s C) 0.24 m/s D) 4.9 m/s E) 6.9 m/s

Q: A 0.25-kg block oscillates on the end of the spring with a spring constant of 200 N/m. If the system has an energy of 6.0 J, then the amplitude of the oscillation is: A) 0.06 m B) 0.17 m C) 0.24 m D) 4.9 m E) 6.9 m

Q: A particle is in simple harmonic motion along the xaxis. The amplitude of the motion is xm. When it is at x= x1, its kinetic energy is K= 5J and its potential energy (measured with U= 0 at x= 0) is U= 3J. When it is at x= -1/2xm, the kinetic and potential energies are:A) K= 6J and U= 2JB) K= 6J and U= -2JC) K= 8J and U= 0 JD) K= 0 J and U= 8JE) K= 0 J and U= -8J

Q: A particle is in simple harmonic motion along the xaxis. The amplitude of the motion is xm. At one point in its motion its kinetic energy is K= 5J and its potential energy (measured with U= 0 at x= 0) is U= 3J. When it is at x= xm, the kinetic and potential energies are:A) K= 5J and U= 3JB) K= 5J and U= -3JC) K= 8J and U= 0 JD) K= 0 J and U= 8JE) K= 0 J and U= -8J

Q: Let Ube the potential energy (with the zero at zero displacement) and Kbe the kinetic energy of a simple harmonic oscillator. Uavgand Kavgare the average values over a cycle. Then: A) Kavg>Uavg B) Kavg<Uavg C) Kavg= Uavg D) K= 0 when U= 0 E) K+ U= 0

Q: In simple harmonic motion, the restoring force must be proportional to the: A) amplitude B) frequency C) velocity D) displacement E) displacement squared

Q: A simple harmonic oscillator consists of a mass mand an ideal spring with spring constant k. The particle oscillates as shown in (i) with period T. If the spring is cut in half and used with the same particle, as shown in (ii), the period will be: A) 2T B) C) D) T E) T/2

Q: A 3-kg block, attached to a spring, executes simple harmonic motion according to x= 2cos(50t) where xis in meters and tis in seconds. The spring constant of the spring is: A) 1 N/m B) 100 N/m C) 150 N/m D) 7500 N/m E) none of these

Q: A certain spring elongates 9 mm when it is suspended vertically and a block of mass Mis hung on it. The angular frequency of this mass-spring system: A) is 0.088 rad/s B) is 33 rad/s C) is 200 rad/s D) is 1140 rad/s E) cannot be computed unless the value ofMis given

Q: The displacement of an object oscillating on a spring is given by . If the object is initially displaced in the negative xdirection and given a negative initial velocity, then the phase constant is between:

Q: The displacement of an object oscillating on a spring is given by . If the initial displacement is zero and the initial velocity is in the negative xdirection, then the phase constant is:

Q: A 1.2-kg mass is oscillating without friction on a spring whose spring constant is 3400 N/m. When the mass's displacement is 7.2 cm, what is its acceleration?A) -3.8 m/s2B) -200 m/s2C) -240 m/s2D) -2.0 x 104m/s2E) cannot be calculated without more information

Q: In simple harmonic motion, the magnitude of the acceleration is: A) constant B) proportional to the displacement C) inversely proportional to the displacement D) greatest when the velocity is greatest E) never greater than g

Q: In simple harmonic motion: A) the acceleration is greatest at the maximum displacement B) the velocity is greatest at the maximum displacement C) the period depends on the amplitude D) the acceleration is constant E) the acceleration is greatest at zero displacement

Q: In simple harmonic motion, the magnitude of the acceleration is greatest when: A) the displacement is zero B) the displacement is maximum C) the speed is maximum D) the force is zero E) the speed is between zero and its maximum

Q: The acceleration of a body executing simple harmonic motion leads the velocity by what phase?

Q: A 0.20-kg object mass attached to a spring whose spring constant is 500 N/m executes simple harmonic motion. If its maximum speed is 5.0 m/s, the amplitude of its oscillation is: A) 0.0020 m B) 0.10 m C) 0.20 m D) 25 m E) 250 m

Q: An object of mass m, oscillating on the end of a spring with spring constant khas amplitude A. Its maximum speed is: A) B) A2k/m C) D) Am/k E) A2m/k

Q: A particle moves in simple harmonic motion according to x= 2cos(50t), where xis in meters and tis in seconds. Its maximum velocity is: A) 100 sin(50t) m/s B) 100 cos(50t) m/s C) 100 m/s D) 200 m/s E) none of these

Q: The amplitude of any oscillator will be doubled by: A) doubling only the initial displacement B) doubling only the initial speed C) doubling the initial displacement and halving the initial speed D) doubling the initial speed and halving the initial displacement E) doubling both the initial displacement and the initial speed