Exam 1: A: Foundations

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Relative to the frame of the observer making the measurement,at what speed parallel to its length is the length of a meterstick 60 cm?

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A thin,circular disk of radius 30.0 cm is oriented in the yz-plane with its center at the origin.The disk carries a total charge of +3.00 μC distributed uniformly over its surface.Calculate the magnitude of the electric field due to the disk at the point x = 15.0 cm along the x-axis.(ε0 = 8.85 × 10-12 C2/N • m2)

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A single slit forms a diffraction pattern,with the first minimum at an angle of 40.0° from central maximum,when monochromatic light of 630-nm wavelength is used.The same slit,illuminated by a new monochromatic light source,produces a diffraction pattern with the second minimum at a 60.0° angle from the central maximum.What is the wavelength of this new light?

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A uniform solid sphere has a moment of inertia I about an axis tangent to its surface.What is the moment of inertia of this sphere about an axis through its center?

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A series ac circuit consists of a voltage source of frequency 60 Hz and source voltage amplitude 345 volts,a 701-Ω resistor,a 1.6-µF capacitor,and an inductor of inductance L. (a)What must be the value of L for the phase angle to be zero? (b)When L has the value calculated in part (a),what is the current amplitude in the circuit?

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The coil in a 60-Hz ac generator has 125 turns,each having an area of 3.0 × 10-2 m2 and is rotated in a uniform 0.12-T magnetic field.What is the peak output voltage of this generator?

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A neutral hollow spherical conducting shell of inner radius 1.00 cm and outer radius 3.00 cm has a +2.00-µC point charge placed at its center.Find the surface charge density (a)on the inner surface of the shell. (b)on the outer surface of the shell.

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The number 0.003010 has

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A 50-cm wire placed in an east-west direction is moved horizontally to the north with a speed of 2)0 m/s. The horizontal component of the earth's magnetic field at that location is 25 μT toward the north and the vertical component is 50μT downward.What is the emf induced between the ends of the wire?

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The power rating of a 400-Ω resistor is 0.800 W. (a)What is the maximum voltage that can be applied across this resistor without damaging it? (b)What is the maximum current this resistor can draw without damaging it?

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A car is 200 m from a stop sign and traveling toward the sign at 40.0 m/s.At this time,the driver suddenly realizes that she must stop the car.If it takes 0.200 s for the driver to apply the brakes,what must be the magnitude of the constant acceleration of the car after the brakes are applied so that the car will come to rest at the stop sign?

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The figure shows two forces acting at right angles on an object.They have magnitudes F1 = 6.3 N and F2 = 2.1 N. What third force will cause the object to be in equilibrium (acceleration equals zero)? The figure shows two forces acting at right angles on an object.They have magnitudes F<sub>1</sub> = 6.3 N and F<sub>2</sub> = 2.1 N. What third force will cause the object to be in equilibrium (acceleration equals zero)?

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A sinusoidal electromagnetic wave is propagating in vacuum.At a given point P and at a particular time,the electric field is in the +x direction and the magnetic field is in the -y direction. (a)What is the direction of propagation of the wave? (b)If the intensity of the wave at point P is 0.36 W/m2,what is the electric field amplitude 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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Convert a speed of 4.50 km/h to units of ft/min.(1.00 m = 3.28 ft)

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Three equal negative point charges are placed at three of the corners of a square of side d.What is the magnitude of the net electric field at the center of the square? (k = 1/4πε0 = 8.99 × 109 N • m2/C2)

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The graph in the figure shows the position of an object as a function of time.The letters H-L represent particular moments of time.At which moments shown (H,I,etc.)is the speed of the object (a)the greatest? (b)the smallest? The graph in the figure shows the position of an object as a function of time.The letters H-L represent particular moments of time.At which moments shown (H,I,etc.)is the speed of the object (a)the greatest? (b)the smallest?

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The process shown in the T-V diagram in the figure is an The process shown in the T-V diagram in the figure is an

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15)Bumpers on cars are not of much use in a collision.To see why,calculate the average force a bumper would have to exert if it brought a 1200-kg car (a so-called compact model)to a rest in 15 cm when the car had an initial speed of 2.0 m/s (about 4.5 mph).(Bumpers are built with springs that compress to provide a stopping force without,hopefully,denting the metal.)

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An air-filled capacitor is formed from two long conducting cylindrical shells that are coaxial and have radii of 13 mm and 85 mm.The electric potential of the inner conductor with respect to the outer conductor is -600 V.(k = 1/4πε0 = 8.99 × 109 N • m2/C2)The maximum energy density of the capacitor is closest to

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The electric field between square the plates of a parallel-plate capacitor has magnitude E.The potential across the plates is maintained with constant voltage by a battery as they are pulled apart to twice their original separation,which is small compared to the dimensions of the plates.The magnitude of the electric field between the plates is now equal to

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