Exam 1: A: Foundations

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Two +6.0-μC point charges are placed at the corners of the base of an equilateral triangle,as shown in the figure.(k = 1/4πε0 = 8.99 × 109 N • m2/C2)At the vertex,P,of the triangle Two +6.0-μC point charges are placed at the corners of the base of an equilateral triangle,as shown in the figure.(k = 1/4πε<sub>0</sub> = 8.99 × 10<sup>9</sup> N • m<sup>2</sup>/C<sup>2</sup>)At the vertex,P,of the triangle    (a)what is the electric potential (relative to infinity)due to these charges? (b)what is the magnitude of the electric field due to these charges? (a)what is the electric potential (relative to infinity)due to these charges? (b)what is the magnitude of the electric field due to these charges?

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A 0.25 kg ideal harmonic oscillator has a total mechanical energy of 4.0 J.If the oscillation amplitude is 20.0 cm,what is the oscillation frequency?

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A nonrelativistic electron has a kinetic energy of 5.4 eV.What is the energy of a photon whose wavelength is the same as the de Broglie wavelength of the electron? (mel = 9.11 × 10-31 kg, C = 3.00 × 108 m/s,1 eV = 1.60 × 10-19 J)

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A series LRC circuit consists of a 12.0-mH inductor,a 15.0-µF capacitor,a resistor,and a 110-V (rms)ac voltage source.If the impedance of this circuit is 45.0 Ω at resonance,what is its impedance at a frequency twice the resonance frequency?

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The figure shows an arrangement of two -4.5 nC charges,each separated by 5.0 mm from a proton.If the two negative charges are held fixed at their locations and the proton is given an initial velocity v as shown in the figure,what is the minimum initial speed v that the proton needs to totally escape from the negative charges? (k = 1/4πε0 = 8.99 × 109 N • m2/C2,e = 1.60 × 10-19 C,mproton = 1.67 × 10-27 kg) The figure shows an arrangement of two -4.5 nC charges,each separated by 5.0 mm from a proton.If the two negative charges are held fixed at their locations and the proton is given an initial velocity v as shown in the figure,what is the minimum initial speed v that the proton needs to totally escape from the negative charges? (k = 1/4πε<sub>0</sub> = 8.99 × 10<sup>9</sup> N • m<sup>2</sup>/C<sup>2</sup>,e = 1.60 × 10<sup>-19</sup> C,m<sub>proton </sub>= 1.67 × 10<sup>-27</sup> kg)

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Three objects are connected by massless wires over a massless frictionless pulley as shown in the figure.The tension in the wire connecting the 10.0-kg and 15.0-kg objects is measured to be 133 N.What is the mass M? Three objects are connected by massless wires over a massless frictionless pulley as shown in the figure.The tension in the wire connecting the 10.0-kg and 15.0-kg objects is measured to be 133 N.What is the mass M?

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Monochromatic light strikes a metal surface and electrons are ejected from the metal.If the intensity of the light is increased,what will happen to the ejection rate and maximum energy of the electrons?

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If the magnetic field of an electromagnetic wave is in the +x-direction and the electric field of the wave is in the +y-direction,the wave is traveling in the

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Spaceman Speff orbits spherical asteroid X with his spaceship.To remain in a circular orbit at 421 km from the asteroid's center,he should maintain a speed of 80 m/s. What is the mass of planet X? (G = 6.67 × 10-11 N • m2/kg2)

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A nonuniform electric field is directed along the x-axis at all points in space.This magnitude of the field varies with x,but not with respect to y or z.The axis of a cylindrical surface,0.80 m long and 0.20 m in diameter,is aligned parallel to the x-axis,as shown in the figure.The electric fields E1 and E2,at the ends of the cylindrical surface,have magnitudes of 9000 N/C and 5000 N/C respectively,and are directed as shown.(ε0 = 8.85 × 10-12 C2/N • m2)The charge enclosed by the cylindrical surface is closest to A nonuniform electric field is directed along the x-axis at all points in space.This magnitude of the field varies with x,but not with respect to y or z.The axis of a cylindrical surface,0.80 m long and 0.20 m in diameter,is aligned parallel to the x-axis,as shown in the figure.The electric fields E<sub>1</sub> and E<sub>2</sub>,at the ends of the cylindrical surface,have magnitudes of 9000 N/C and 5000 N/C respectively,and are directed as shown.(ε<sub>0</sub> = 8.85 × 10<sup>-12</sup> C<sup>2</sup>/N • m<sup>2</sup>)The charge enclosed by the cylindrical surface is closest to

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As a spaceship is moving toward Earth,an Earthling measures its length to be 325 m,while the captain on board radios that her spaceship's length is 1150 m.(c = 3.00 × 108 m/s) (a)How fast is the rocket moving relative to Earth? (b)What is the TOTAL energy of a 75.0-kg crewman as measured by (i)the captain in the rocket and (ii)the Earthling?

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A series LRC circuit has a sinusoidal voltage supplied to it at 197 kHz with a peak voltage of 270 V,a 41-kΩ resistance,a 14-µF capacitor,and a 63-H inductance.What is the peak current for this circuit?

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An 800-kHz radio signal is detected at a point 2.7 km distant from a transmitter tower.The electric field amplitude of the signal at that point is 0.36 V/m.Assume that the signal power is radiated uniformly in all directions and that radio waves incident upon the ground are completely absorbed.What is the intensity of the radio signal at that point? (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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When a weight W is hanging from a light vertical string,the speed of pulses on the string is V.If a second weight W is added without stretching the string,the speed of pulses on this string will now become

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The gravitational acceleration on a planet's surface is 16.0 m/s2. What is the gravitational acceleration at an altitude of one planet diameter above the SURFACE of the planet?

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During a nuclear reaction,1.7 × 10-4 J of energy is released. What is the resulting change in mass of the particles involved? (c = 3.00 × 108 m/s)

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Each plate of a parallel-plate air-filled capacitor has an area of 0.0020 m2,and the separation of the plates is 0.020 mm.An electric field of 3.9 × 106 V/m is present between the plates.What is the surface charge density on the plates? (ε0 = 8.85 × 10-12 C2/N • m2)

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Under what condition is | Under what condition is |   -   | = A + B? - Under what condition is |   -   | = A + B? | = A + B?

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In the figure,which of the curves best represents the variation of wave speed as a function of tension for transverse waves on a stretched string? In the figure,which of the curves best represents the variation of wave speed as a function of tension for transverse waves on a stretched string?

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The coefficient of the restitution of an object is defined as the ratio of its outgoing to incoming speed when the object collides with a rigid surface.For an object with a coefficient of 0.78,what fraction of the object's kinetic energy is lost during a single collision?

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