Exam 1: A: Foundations

An infinitely long nonconducting cylinder of radius R = 2.00 cm carries a uniform volume charge density of 18.0 µC/m³. Calculate the electric field at distance r = 1.00 cm from the axis of the cylinder. (ε₀ = 8.85 × 10^-12 C²/N • m²)

An electrical motor spins at a constant 2857.0 rev/min. If the armature radius is 2.685 cm,what is the acceleration of the outer edge of the armature?

The compressor in a certain Carnot refrigerator performs 480 J of work to remove 150 J of heat from the interior of the refrigerator.How much heat must the coils behind the refrigerator discharge into the kitchen?

A star is moving towards the earth with a speed at 90% the speed of light.It emits light,which moves away from the star at the speed of light.Relative to us on earth,what is the speed of the light moving toward us from the star?

A particle in a 453 m-long linear particle accelerator is moving at 0.875c.How long does the particle accelerator appear to the particle?

If we double only the amplitude of a vibrating ideal mass-and-spring system,the mechanical energy of the system

The objective and the eyepiece of a refracting astronomical telescope have focal lengths of 320 cm and 4.0 cm,respectively.The telescope is used to view Neptune and the final image is set at infinity.The diameter of Neptune is 4.96 × 10⁷ m and the distance from the earth at the time of observation is 4)4 × 10¹² m.What is the angle (in mrad)subtended by the final telescopic image of Neptune?

A rope pulls on the lower block in the figure with a tension force of 20 N.The coefficient of kinetic friction between the lower block and the surface is 0.16.The coefficient of kinetic friction between the lower block and the upper block is also 0.16.The pulley has no appreciable mass or friction.What is the acceleration of the 2.0 kg block?

A series circuit consists of a 50-Hz ac source,a 40-Ω resistor,a 0.30-H inductor,and a 60-μF capacitor.The rms current in the circuit is measured to be 1.6 A.What is the power factor of the circuit?

Someone in Earth's rest frame says that a spaceship's trip between two planets took 10.0 y,while an astronaut on the space ship says that the trip took 6.27 y.Find the speed of the spaceship in terms of the speed of light.

A tennis ball bounces on the floor three times.If each time it loses 22.0% of its energy due to heating,how high does it rise after the third bounce,provided we released it 2.3 m from the floor?

Two long conducting cylindrical shells are coaxial and have radii of 20 mm and 80 mm.The electric potential of the inner conductor,with respect to the outer conductor,is +600 V.What is the maximum electric field magnitude between the cylinders? (k = 1/4πε₀ = 8.99 × 10⁹ N • m²/C²)

A fixed amount of ideal gas is held in a rigid container that expands negligibly when heated.At 20°C the gas pressure is p.If we add enough heat to increase the temperature from 20°C to 40°C,the pressure will be

Shock waves occur when

Two moons orbit a planet in nearly circular orbits. Moon A has orbital radius r,and moon B has orbital radius 4r. Moon A takes 20 days to complete one orbit. How long does it take moon B to complete an orbit?

How many nanoseconds does it take for a computer to perform one calculation if it performs 6.7 × 10⁷ calculations per second?

Arthur and Betty start walking toward each other when they are 100 m apart.Arthur has a speed of 3.0 m/s and Betty has a speed of 2.0 m/s.Their dog,Spot,starts by Arthur's side at the same time and runs back and forth between them at 5.0 m/s.By the time Arthur and Betty meet,what distance has Spot run?

There must be equal amounts of mass on both side of the center of mass of an object.

A system comprised blocks,a light frictionless pulley,and connecting ropes is shown in the figure.The 9.0-kg block is on a perfectly smooth horizontal table.The surfaces of the 12-kg block are rough,with μ_k = 0.30 between the block and the table.If the 5.0-kg block accelerates downward when it is released,find its acceleration.

A spherical,non-conducting shell of inner radius r₁ = 10 cm and outer radius r₂ = 15 cm carries a total charge Q = 15 μC distributed uniformly throughout the volume of the shell.What is the magnitude of the electric field at a distance r = 12 cm from the center of the shell? (k = 1/4πε₀ = 8.99 × 10⁹ N • m²/C²)