Exam 1: A: Foundations

The phase angle of an LRC series circuit with a capacitive reactance of 40 Ω,a resistor of 100 Ω and a certain inductor at 1000 Hz is 40.0°.What is the value of the inductance in this circuit?

What is the result of 1.58 ÷ 3.793 written with the correct number of significant figures?

A small sphere with a mass of 441 g is moving upward along the vertical +y-axis when it encounters an electric field of 5.00 N/C . If,due to this field,the sphere suddenly acquires a horizontal acceleration of 13.0 m/s² ,what is the charge that it carries?

A convex lens has focal length f.If an object is located extremely far from the lens (at infinity),the image formed is located what distance from the lens?

To determine the height of a flagpole,Abby throws a ball straight up and times it.She sees that the ball goes by the top of the pole after 0.50 s and then reaches the top of the pole again after a total elapsed time of 4.1 s.How high is the pole above the point where the ball was launched? (You can ignore air resistance.)

Two concentric spheres are shown in the figure.The inner sphere is a solid nonconductor and carries a charge of +5.00 µC uniformly distributed over its outer surface.The outer sphere is a conducting shell that carries a net charge of -8.00 µC.No other charges are present.The radii shown in the figure have the values R₁ = 10.0 cm,R₂ = 20.0 cm,and R₃ = 30.0 cm.(k = 1/4πε₀ = 8.99 × 10⁹ N • m²/C²) (a)Find the total excess charge on the inner and outer surfaces of the conducting sphere. (b)Find the magnitude and direction of the electric field at the following distances r from the center of the inner sphere: (i)r = 9.5 cm,(ii)r = 15.0 cm,(iii)r = 27.0 cm,(iv)r = 35.0 cm.

What is the maximum current that can be drawn from a 1.50-V battery with an internal resistance of 0.30 ohm?

If = -4 - 2 - 3 ,what is × ?

An electric dipole is made of two charges of equal magnitudes and opposite signs.The positive charge,q = 1.0 μC,is located at the point (x,y,z)= (0.00 cm,1.0 cm,0.00 cm),while the negative charge is located at the point (x,y,z)= (0.00 cm,-1.0 cm,0.00 cm).How much work will be done by an electric field = (3.0 × 10⁶ N/C) To bring the dipole to its stable equilibrium position?

When adding two numbers,the number of significant figures in the sum is equal to the number of significant figures in the least accurate of the numbers being added.

An electron is released from rest at a distance of 9.00 cm from a proton.If the proton is held in place,how fast will the electron be moving when it is 3.00 cm from the proton? (m_el = 9.11 × 10^-31 kg, E = 1.60 × 10^-19 C,k = 1/4πε₀ = 8.99 × 10⁹ N • m²/C²)

A ray of light goes from one transparent material into another,as shown in the figure.What can you conclude about the indices of refraction of these two materials?

A parallel-plate capacitor has plates of area 0.40 m² and plate separation of 0.20 mm.The capacitor is connected across a 9.0-V potential source.(ε₀ = 8.85 × 10^-12 C²/N • m²) (a)What is the magnitude of the electric field between the plates? (b)What is the capacitance of the capacitor? (c)What is the magnitude of the charge on each plate of the capacitor?

The voltage and power ratings of a particular light bulb,which are its normal operating values,are 110 V and 60 W.Assume the resistance of the filament of the bulb is constant and is independent of operating conditions.If the light bulb is operated at a reduced voltage and the power drawn by the bulb is 36 W,what is the operating voltage of the bulb?

A frictionless pendulum released from 65 degrees with the vertical will vibrate with the same frequency as if it were released from 5 degrees with the vertical because the period is independent of the amplitude and mass.

Three spaceships A,B,and C are in motion as shown in the figure.The commander on ship B observes ship C approaching with a relative velocity of 0.83c.The commander also observes ship A,advancing in the rear,with a relative velocity of 0.48c.As measured by commander on ship B,at what speed is ship A approaching ship C?

Consider a solenoid of length L,N windings,and radius b (L is much longer than b).A current I is flowing through the wire.If the radius of the solenoid were doubled (becoming 2b),and all other quantities remained the same,the magnetic field inside the solenoid would

Because the earth's orbit is slightly elliptical,the earth actually gets closer to the sun during part of the year.When the earth is closer to the sun its orbital speed is

An object is moving with constant non-zero acceleration along the +x-axis.A graph of the velocity in the x direction as a function of time for this object is

A car enters a 300-m radius horizontal curve on a rainy day when the coefficient of static friction between its tires and the road is 0.600. What is the maximum speed at which the car can travel around this curve without sliding?