Exam 1: A: Foundations

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In simple harmonic motion,the speed is greatest at that point in the cycle when

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Which one of the following statements is true?

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A baseball is thrown vertically upward and feels no air resistance.As it is rising

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Four traveling waves are described by the following equations,where all quantities are measured in SI units and y represents the displacement. I: y = 0.12 cos(3x + 2t) II: y = 0.15 sin(6x - 3t) III: y = 0.23 cos(3x + 6t) IV: y = -0.29 sin(1.5x - t) Which of these waves have the same speed?

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A charge of 1.0 × 10-6 μC is located inside a sphere,1.25 cm from its center.What is the electric flux through the sphere due to this charge? (ε0 = 8.85 × 10-12 C2/N • m2)

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A relativistic proton has a momentum of 1.0 × 10-17 kg ∙ m/s and a rest energy of 0.15 nJ.What is the kinetic energy of this proton? (c = 3.00 × 108 m/s,mproton = 1.67 × 10-27 kg)

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A force on a particle depends on position such that F(x)= (3.00 N/m2)x2 + (6.00 N/m)x for a particle constrained to move along the x-axis. What work is done by this force on a particle that moves from x = 0.00 m to x = 2.00 m?

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An engine manufacturer makes the claim that the engine they have developed will,on each cycle,take 100 J of heat out of boiling water at 100°C,do mechanical work of 80 J,and exhaust 20 J of heat at 10°C.What,if anything,is wrong with this claim?

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What is 56 + (32.00)/(1.2465 + 3.45)written with the correct number of significant figures?

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A wire in the shape of an "M" lies in the plane of the paper.It carries a current of 2.0 A,flowing from points A to E,as shown in the figure.It is placed in a uniform magnetic field of 0.75 T in the same plane,directed as shown on the right side of the figure.The figure indicates the dimensions of the wire.What are the magnitude and direction of the force acting on A wire in the shape of an M lies in the plane of the paper.It carries a current of 2.0 A,flowing from points A to E,as shown in the figure.It is placed in a uniform magnetic field of 0.75 T in the same plane,directed as shown on the right side of the figure.The figure indicates the dimensions of the wire.What are the magnitude and direction of the force acting on    (a)section AB of this wire? (b)section BC of this wire? (c)section CD of this wire? (d)section DE of this wire? (e)the entire wire? (a)section AB of this wire? (b)section BC of this wire? (c)section CD of this wire? (d)section DE of this wire? (e)the entire wire?

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A spring stretches by 21.0 cm when a 135 N object is attached.What is the weight of a fish that would stretch the spring by 31.0 cm?

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An LRC ac circuit has a reactance (due to its capacitance)of 17 kΩ,a reactance (due to its inductance)of 9.0 kΩ,and a resistance of 28 kΩ.What is the power factor of the circuit?

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Convert 1.2 × 10-3 to decimal notation.

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A solenoid of length 18 cm consists of closely spaced coils of wire wrapped tightly around a wooden core.The magnetic field strength is 2.0 mT inside the solenoid near its center when a certain current flows through the coils.If the coils of the solenoid are now pulled apart slightly,stretching it to 21 cm without appreciably changing the size of the coils,what does the magnetic field become near the center of the solenoid when the same current flows through the coils? (μ0 = 4π × 10-7 T • m/A)

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The figure shows the position of an object (moving along a straight line)as a function of time.Assume two significant figures in each number.Which of the following statements about this object is true over the interval shown? The figure shows the position of an object (moving along a straight line)as a function of time.Assume two significant figures in each number.Which of the following statements about this object is true over the interval shown?

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A plot of land contains 5.8 acres. How many square meters does it contain? [1 acre = 43,560 ft2]

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During each cycle of operation,a refrigerator absorbs 230 J of heat from the freezer and expels 356 J of heat to the room. How much work input is required in each cycle?

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A 60.0-kg person drops from rest a distance of 1.20 m to a platform of negligible mass supported by an ideal stiff spring of negligible mass.The platform drops 6.00 cm before the person comes to rest.What is the spring constant of the spring?

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What is What is   to the proper number of significant figures? to the proper number of significant figures?

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Alpha particles (charge = +2e,mass = 6.68 × 10-27 kg,e = 1.60 × 10-19C)0.87 μs.

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