Exam 1: A: Foundations

Two small forward-facing speakers are 2.50 m apart.They are both emitting,in phase with each other,a sound of frequency 1100 Hz in a room where the speed of sound is 344 m/s.A woman is standing opposite the midpoint between the speakers and is initially 35.0 m from the midpoint.As she slowly walks parallel to the line connecting the speakers,at what angle θ (relative to the centerline coming outward from the midpoint between the speakers)will she first hear no sound?

A 2.25-kg object is attached to a horizontal an ideal massless spring on a frictionless table.What should be the spring constant of this spring so that the maximum acceleration of the object will be g when it oscillates with amplitude of 4.50 cm?

A capacitor is charging in a simple RC circuit with a dc battery.Which one of the following statements about this capacitor is accurate?

In the figure,determine the character of the collision.The masses of the blocks,and the velocities before and after are given,and no other unbalanced forces act on these blocks.The collision is

Determine the scalar product of = 6.0 + 4)0 - 2)0 And = 5)0 - 6)0 - 3)0 .

A convex spherical mirror with a focal length of magnitude 25 cm has a 4.0-cm tall flower placed 100 cm in front of it. What is the height of the image of the flower?

Salt water is more dense than fresh water.A ship floats in both fresh water and salt water.Compared to the fresh water,the volume of salt water displaced by the ship is

An ac series circuit consists of a voltage source of frequency 60 Hz and voltage amplitude V,a 533-Ω resistor,and a capacitor of capacitance 6.4 µF.What must be the source voltage amplitude V for the average electrical power consumed in the resistor to be 989 W? There is no inductance in the circuit.

You are seated in a bus and notice that a hand strap that is hanging from the ceiling hangs away from the vertical in the backward direction.From this observation,you can conclude that

A dipole with a positive charge of 2.0 μC and a negative charge of -2.0 μC is centered at the origin and oriented along the x-axis with the positive charge located to the right of the origin.The charge separation is 0.0010 m.Find the electric field due to this dipole at the point x = 4.0 m,y = 0.0 m. (k = 1/4πε₀ = 8.99 × 10⁹ N • m²/C²)

A 7.0-kg object is acted on by two forces. One of the forces is 10.0 N acting toward the east. Which of the following forces is the other force if the acceleration of the object is 1.0 m/s² toward the east?

A carousel that is 5.00 m in radius has a pair of 600-Hz sirens mounted on posts at opposite ends of a diameter.The carousel rotates with an angular velocity of 0.800 rad/s. A stationary listener is located at a distance from the carousel.The speed of sound is 350 m/s.The longest wavelength reaching the listener from the sirens is closest to

A 50-cm³ block of wood is floating partially submerged in water,and a 50-cm³ block of iron is totally submerged in water.Which block has the greater buoyant force on it?

A multiloop circuit is shown in the figure.It is not necessary to solve the entire circuit.Compared to the polarity shown in the figure,the emf ε₁ is closest to

A 1.2-kg spring-activated toy bomb slides on a smooth surface along the x-axis with a speed of 0.50 m/s.At the origin 0,the bomb explodes into two fragments.Fragment 1 has a mass of 0.40 kg and a speed of 0.90 m/s along the negative y-axis.In the figure,the energy released by the explosion is closest to

Under electrostatic conditions,the electric field just outside the surface of any charged conductor

A microwave oven operates with sinusoidal microwaves at a frequency of 2400 MHz.The height of the oven cavity is 25 cm and the base measures 30 cm by 30 cm.Assume that microwave energy is generated uniformly on the upper surface of the cavity and propagates directly downward toward the base.The base is lined with a material that completely absorbs microwave energy.The total microwave energy content of the cavity is 0.50 µJ.What is the amplitude of the electric field? (c = 3.00 × 10⁸ m/s, Μ₀ = 4π × 10^-7 T • m/A,ε₀ = 8.85 × 10^-12 C²/N • m²)

For the circuit shown in the figure,what is the current through resistor R₃?

Three resistors having resistances of 4.0 Ω,6.0 Ω,and 10.0 Ω are connected in parallel. If the combination is connected in series with an ideal 12-V battery and a 2.0-Ω resistor,what is the current through the 10.0-Ω resistor?

A 400-W computer (including the monitor)is turned on for 8.0 hours per day. If electricity costs 10¢ per kWh,how much does it cost to run the computer annually for a typical 365-day year?