Exam 1: A: Foundations

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Consider three galaxies,Alpha,Beta and Gamma.An observer in Beta sees the other two galaxies each moving away from him in opposite directions at speed 0.70c.At what speed would an observer in Alpha see the galaxy Beta moving?

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If the voltage amplitude across an 8.50-nF capacitor is equal to 12.0 V when the current amplitude through it is 3.33 mA,the frequency is closest to

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A circular loop of wire lies in the plane of the paper.An increasing magnetic field points out of the paper.What is the direction of the induced current in the loop?

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A proton in a certain particle accelerator has a kinetic energy that is equal to its rest energy.What is the TOTAL energy of the proton as measured by a physicist working with the accelerator? (c = 3.00 × 108 m/s,mproton = 1.67 × 10-27 kg)

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A speeding car is traveling at a constant 30.0 m/s when it passes a stationary police car. If the police car delays for 1.00 s before starting,what must be the magnitude of the constant acceleration of the police car to catch the speeding car after the police car travels a distance of 300 m?

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A charge of 2.00 μC flows onto the plates of a capacitor when it is connected to a 12.0-V potential source. What is the minimum amount of work that must be done in charging this capacitor?

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An ac series circuit consists of a voltage source,an 880-Ω resistor,and an inductance L.(There is no capacitance in the circuit.)The current amplitude is 0.60 A,and the phase angle between the source voltage and the current has a magnitude of 41° (a)Does the source voltage lag or lead the current? (b)What is the voltage amplitude of the source?

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A 620-g object traveling at 2.1 m/s collides head-on with a 320-g object traveling in the opposite direction at 3.8 m/s.If the collision is perfectly elastic,what is the change in the kinetic energy of the 620-g object?

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A weight lifter can bench press 171 kg.How many milligrams (mg)is this?

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Four equal +6.00-μC point charges are placed at the corners of a square 2.00 m on each side. (k = 1/4πε0 = 8.99 × 109 N • m2/C2) (a)What is the electric potential (relative to infinity)due to these charges at the center of this square? (b)What is the magnitude of the electric field due to these charges at the center of the square?

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The vertical displacement y(x,t)of a string stretched along the horizontal x-axis is given by y(x,t)= (6.00 mm)cos[(3.25 m-1)x - (7.22 rad/s)t]. (a)What is the minimum time for each complete cycle of the wave? (b)What is the distance between adjacent crests of the wave? (c)How fast does this wave travel?

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In the figure,when the terminal voltage Vab of the battery is equal to 20 V,how much current passes through the battery,including its direction? In the figure,when the terminal voltage V<sub>ab</sub> of the battery is equal to 20 V,how much current passes through the battery,including its direction?

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The phase angle of an LRC series circuit with an inductive reactance of 200 Ω and a capacitive reactance of 100 Ω is 40.0°.What is the value of the resistor in this circuit?

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Water flows through a pipe having a varying width.More water flows per second through the wide section than through the narrow section because there is more room for it to flow.

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A block lies on a horizontal frictionless surface. A horizontal force of 100 N is applied to the block giving rise to an acceleration of 3.0 m/s2. (a) Determine the mass of the block. (b) Calculate the distance the block will travel if the force is applied for 10 s. (c) Calculate the speed of the block after the force has been applied for 10 s.

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What is the sum of 1.53 + 2.786 + 3.3 written with the correct number of significant figures?

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The mass of a typical adult woman is closest to

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A double-convex thin lens is made of glass with an index of refraction of 1.52.The radii of curvature of the faces of the lens are 60 cm and 72 cm.What is the focal length of the lens?

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The velocity of an object is given by the expression v(t)= 3.00 m/s + (4.00 m/s3)t2,where t is in seconds. Determine the position of the object as a function of time if it is located at x = 1.00 m at time T = 0.000 s.

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In an "atom smasher," two particles collide head on at relativistic speeds.If the velocity of the first particle is 0.741c to the left,and the velocity of the second particle is 0.350c to the right (both of these speeds are measured in Earth's rest frame),how fast are the particles moving with respect to each other?

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