Exam 1: A: Foundations

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Two long parallel wires carry currents of 20 A and 5.0 A in opposite directions. The wires are separated by 0.20 m. What is the magnitude of the magnetic field midway between the two wires? (μ0 = 4π × 10-7 T • m/A)

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A traveler pulls on a suitcase strap at an angle 36° above the horizontal.If 908 J of work are done by the strap while moving the suitcase a horizontal distance of 15 m,what is the tension in the strap?

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A time-varying horizontal force F(t)= At4 + Bt2 acts for 0.500 s on a 12.25-kg object,starting at time t = 1.00 s.In the SI system,A has the numerical value 4.50 and B has the numerical value 8.75. (a)What are the SI units of A and B? (b)What impulse does this force impart to the object?

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In the figure Q = 5.8 nC and all other quantities are accurate to 2 significant figures.What is the magnitude of the force on the charge Q? (k = 1/4πε0 = 8.99 × 109 N • m2/C2) In the figure Q = 5.8 nC and all other quantities are accurate to 2 significant figures.What is the magnitude of the force on the charge Q? (k = 1/4πε<sub>0</sub> = 8.99 × 10<sup>9</sup> N • m<sup>2</sup>/C<sup>2</sup>)

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A projectile returns to its original height 4.08 s after being launched,during which time it travels 76.2 m horizontally.If air resistance can be neglected,what was the projectile's initial speed?

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In the figure,all the charges are point charges and the charge in the middle is Q = -3.1 nC.For what charge q1 will charge q2 be in static equilibrium? In the figure,all the charges are point charges and the charge in the middle is Q = -3.1 nC.For what charge q<sub>1</sub> will charge q<sub>2</sub> be in static equilibrium?

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A ball drops some distance and loses 30 J of gravitational potential energy.Do NOT ignore air resistance.How much kinetic energy did the ball gain?

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A diffraction grating has 300 lines per mm.If light of frequency 4.76 × 1014 Hz is sent through this grating,at what angle does the first order maximum occur? (c = 3.00 × 108 m/s)

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A uniform meter stick is freely pivoted about the 0.20-m mark.If it is allowed to swing in a vertical plane with a small amplitude and friction,what is the frequency of its oscillations?

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A shell explodes into two fragments,one fragment 25 times heavier than the other.If any gas from the explosion has negligible mass,then

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For the wave shown in the figure,the wavelength is For the wave shown in the figure,the wavelength is

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The acceleration of an object as a function of time is given by a(t)= (3.00 m/s3)t,where t is in seconds. If the object is at rest at time t = 0.00 s,what is the velocity of the object at time t = 6.00 s?

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A uniform solid disk of radius 1.60 m and mass 2.30 kg rolls without slipping to the bottom of an inclined plane.If the angular velocity of the disk is 5.35 rad/s at the bottom,what is the height of the inclined plane?

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Water is flowing in a horizontal pipe of diameter d.If you want to change the diameter of this pipe so that the speed of the water would be half as great as it was,what should be the new diameter?

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A circular metal ring is situated above a long straight wire,as shown in the figure.The straight wire has a current flowing to the right,and the current is increasing in time at a constant rate.Which statement is true? A circular metal ring is situated above a long straight wire,as shown in the figure.The straight wire has a current flowing to the right,and the current is increasing in time at a constant rate.Which statement is true?

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In the figure,a block of mass m is moving along the horizontal frictionless surface with a speed of 5.70 m/s.If the slope is 11.0° and the coefficient of kinetic friction between the block and the incline is 0.260,how far does the block travel up the incline? In the figure,a block of mass m is moving along the horizontal frictionless surface with a speed of 5.70 m/s.If the slope is 11.0° and the coefficient of kinetic friction between the block and the incline is 0.260,how far does the block travel up the incline?

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A driver in a 1000 kg car traveling at 20 m/s slams on the brakes and skids to a stop.If the coefficient of friction between the tires and the horizontal road is 0.80,how long will the skid marks be?

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The figure shows two long wires carrying equal currents I1 and I2 flowing in opposite directions.Which of the arrows labeled A through D correctly represents the direction of the magnetic field due to the wires at a point located at an equal distance d from each wire? The figure shows two long wires carrying equal currents I<sub>1</sub> and I<sub>2</sub> flowing in opposite directions.Which of the arrows labeled A through D correctly represents the direction of the magnetic field due to the wires at a point located at an equal distance d from each wire?

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Light from a monochromatic source shines through a double slit onto a screen 5.00 m away.The slits are 0.180 mm apart.The dark bands on the screen are measured to be 1.70 cm apart.What is the wavelength of the incident light?

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How fast must a proton move so that its kinetic energy is 80% of its total energy?

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