Exam 1: A: Foundations

The phase angle of an LRC series circuit with an inductive reactance of 200 Ω,a resistor of 200 Ω and a certain capacitor at 1000 Hz is 40.0°.What is the value of the capacitance in this circuit?

If the dot product of two nonzero vectors is zero,the vectors must be perpendicular to each other.

For the circuit shown in the figure,the current in the 8-Ω resistor is 0.50 A,and all quantities are accurate to 2 significant figures.What is the current in the 2-Ω resistor?

Which of the following statements about Gauss's law are correct? (There may be more than one correct choice.)

A conducting sphere is charged up such that the potential on its surface is 100 V (relative to infinity).If the sphere's radius were twice as large,but the charge on the sphere were the same,what would be the potential on the surface relative to infinity?

A ray of light strikes a boundary between two transparent materials,and there is no transmitted ray,as shown in the figure.What can you conclude about the indices of refraction of these two materials?

In the figure,point P is at rest when it is on the x-axis.The time t,when P returns to the original position on the x-axis,is closest to

An electron traveling toward the north with speed 4.0 × 10⁵ m/s enters a region where the Earth's magnetic field has the magnitude 5.0 × 10^-5 T and is directed downward at 45° below horizontal. What is the magnitude of the force that the Earth's magnetic field exerts on the electron? (e = 1.60 × 10^-19C)

Near the earth the intensity of radiation from the sun is 1.35 kW/m².What volume of space in this region contains 1.0 J of electromagnetic energy? (c = 3.0 × 10⁸ m/s,μ₀ = 4π × 10^-7 T • m/A, Ε₀ = 8.85 × 10^-12 C²/N • m²)

A small-sized 155-kg mass is located 1.50 m from a small-sized 275-kg mass,with both masses fixed in place.Where should you place a third small-sized mass so that the net gravitational force on it due to the original two masses is zero?

In the figure,point P is at rest when it is on the x-axis.The linear speed of point P when it reaches the y-axis is closest to

Vector has a magnitude 5.00 and points in a direction 40.0° clockwise from the negative y axis. What are the x and y components of vector .

The figure represents the position of a particle as it travels along the x-axis. Between t = 2 s and t = 4 s,what is (a)the average speed of the particle and (b)the average velocity of the particle?

Which statements are true about a VIRTUAL image? (There may be more than one correct choice.)

A uniform sign is supported against a wall at point P as shown in the figure.If the sign is a square 0.40 m on a side and its mass is 4.0 kg,what is the magnitude of the horizontal force that the wall at P experiences?

In the figure,two boxes,each of mass 24 kg,are at rest and connected as shown.The coefficient of kinetic friction between the inclined surface and the box is 0.31.Find the speed of the boxes just after they have moved 1.6 m.

An alternating current is supplied to an electronic component with a warning that the voltage across it should never exceed 12 V.What is the highest rms voltage that can be supplied to this component while staying below the voltage limit in the warning?

A stationary 1.67-kg object is struck by a stick.The object experiences a horizontal force given by F = at - bt²,where t is the time in milliseconds from the instant the stick first contacts the object. If a = 1500 N/(ms)and b = 20 N/(ms)²,what is the speed of the object just after it comes away from the stick at t = 2.74 ms?

A satellite is orbiting the earth.If a payload of material is added until it doubles the satellite's mass,the earth's pull of gravity on this satellite will double but the satellite's orbit will not be affected.

A 4.00-kg block rests on a 30.0° incline as shown in the figure. If the coefficient of static friction between the block and the incline is 0.700,what magnitude horizontal force F must act on the block to start it moving up the incline?