Exam 1: A: Foundations

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In a certain region,the electric potential due to a charge distribution is given by the equation V(x,y)= 2xy - x2 - y,where x and y are measured in meters and V is in volts.At which point is the electric field equal to zero?

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The work performed as a function of time for a process is given by W = at3,where a = 2.4 J/s3. What is the instantaneous power output at t = 3.7 s?

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Two very long parallel wires are a distance d apart and carry equal currents in opposite directions.The locations where the net magnetic field due to these currents is equal to zero are

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The figure shows an acceleration-versus-force graph for three objects pulled by rubber bands.The mass of object 2 is 36 kg.What are the masses of objects 1 and 3? The figure shows an acceleration-versus-force graph for three objects pulled by rubber bands.The mass of object 2 is 36 kg.What are the masses of objects 1 and 3?

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A spaceship approaching an asteroid at a speed of 0.60c launches a rocket forward with a speed of 0.40c relative to the spaceship.At what speed is the rocket approaching the asteroid as measured by an astronaut on the asteroid?

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A very small source of light that radiates uniformly in all directions produces an electric field amplitude of 2.96 V/m at a point 33.0 m from the source.What is the power output from the source? (c = 3.00 × 108 m/s,μ0 = 4π × 10-7 T • m/A,ε0 = 8.85 × 10-12 C2/N • m2)

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Two point charges of +1.0 μC and -2.0 μC are located 0.50 m apart.What is the minimum amount of work needed to move the charges apart to double the distance between them? (k = 1/4πε0 = 8.99 × 109 N • m2/C2)

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A sound source emits 20.0 W of acoustical power spread equally in all directions.The threshold of hearing is 1.0 × 10-12 W/m2.What is the sound intensity level 30.0 m from the source?

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Light of wavelength 105 nm falls on a metal surface for which the work function is 5.00 eV.What is the minimum de Broglie wavelength of the photoelectrons emitted from this metal? (h = 6.626 × 10-34 J • s = 4.14 × 10-15 eV • s,c = 3.00 × 108 m/s,mel = 9.11 × 10-31 kg,1 eV = 1.60 × 10-19 J)

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A conducting sphere contains positive charge distributed uniformly over its surface.Which statements about the potential due to this sphere are true? All potentials are measured relative to infinity.(There may be more than one correct choice.)

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A 1000-kg car is driving toward the north along a straight horizontal road at a speed of 20.0 m/s. The driver applies the brakes and the car comes to a rest uniformly in a distance of 200 m.What are the magnitude and direction of the net force applied to the car to bring it to rest?

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What is the energy of a photon that has a wavelength equal to the de Broglie wavelength of a proton having a speed of 7.1 × 104 m/s? (mproton = 1.67 × 10-27 kg,c = 3.00 × 108 m/s)

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A 2.00-kg block of ice at 0.00°C is dropped into a very large lake at 25.0°C and completely melts.For water,the heat of fusion is 3.35 × 105 J/kg,the heat of vaporization is 2.25 × 105 J/kg,and the specific heat is 4190 J/kg•K.The net change in entropy of the system consisting of the ice and the lake due to this melting process is closest to

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Two equal point charges Q are separated by a distance d.One of the charges is released and moves away from the other due only to the electrical force between them.When the moving charge is a distance 3d from the other charge,what is its kinetic energy?

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Jacques and George meet in the middle of a lake while paddling in their canoes.They come to a complete stop and talk for a while.When they are ready to leave,Jacques pushes George's canoe with a force Jacques and George meet in the middle of a lake while paddling in their canoes.They come to a complete stop and talk for a while.When they are ready to leave,Jacques pushes George's canoe with a force   to separate the two canoes.What is correct to say about the final momentum and kinetic energy of the system if we can neglect any resistance due to the water? to separate the two canoes.What is correct to say about the final momentum and kinetic energy of the system if we can neglect any resistance due to the water?

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A nonrelativistic electron and a nonrelativistic proton have the same de Broglie wavelength.Which of the following statements about these particles are accurate? (There may be more than one correct choice.)

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Light of wavelength 687 nm is incident on a single slit 0.75 mm wide. At what distance from the slit should a screen be placed if the second dark fringe in the diffraction pattern is to be 1.7 mm from the center of the diffraction pattern?

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The three loops of wire shown in the figure are all subject to the same uniform magnetic field The three loops of wire shown in the figure are all subject to the same uniform magnetic field   that does not vary with time.Loop 1 oscillates back and forth as the bob in a pendulum,loop 2 rotates about a vertical axis,and loop 3 oscillates up and down at the end of a spring.Which loop,or loops,will have an emf induced in them?  that does not vary with time.Loop 1 oscillates back and forth as the bob in a pendulum,loop 2 rotates about a vertical axis,and loop 3 oscillates up and down at the end of a spring.Which loop,or loops,will have an emf induced in them? The three loops of wire shown in the figure are all subject to the same uniform magnetic field   that does not vary with time.Loop 1 oscillates back and forth as the bob in a pendulum,loop 2 rotates about a vertical axis,and loop 3 oscillates up and down at the end of a spring.Which loop,or loops,will have an emf induced in them?

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When an object is solely under the influence of conservative forces,the sum of its kinetic and potential energies does not change.

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A small glider is coasting horizontally when suddenly a very heavy piece of cargo falls out of the bottom of the plane.You can neglect air resistance.Just after the cargo has fallen out

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