Exam 1: A: Foundations

A 120-V rms voltage at 1000 Hz is applied to an inductor,a 2.00-μF capacitor and a 100-Ω resistor,all in series.If the rms value of the current in this circuit is 0.680 A,what is the inductance of the inductor?

The average molecular kinetic energy of a gas can be determined by knowing

In a double-slit experiment,if the slit separation is increased,which of the following happens to the interference pattern shown on the screen?

The figure shows a 50-kg frictionless cylindrical piston that floats on 0.68 mol of compressed air at 30°C. How far does the piston move if the temperature is increased to 300°C?

What is the product of 11.24 and 1.95 written with the correct number of significant figures?

A certain Carnot heat pump transfers energy from the outside of a house,where the temperature is -15°C,to the inside of a room where the temperature is 21°C.If this heat pump runs off of electricity,what is the minimum rate at which it uses electrical energy to deliver 150 W to the inside room?

The International Space Station is orbiting at an altitude of about 370 km above the earth's surface. The mass of the earth is 5.97 × 10²⁴ kg,the radius of the earth is 6.38 × 10⁶ m,and G = 6.67 × 10^-11 N • m²/kg².Assuming a circular orbit, (a)what is the period of the International Space Station's orbit? (b)what is the speed of the International Space Station in its orbit?

As current flows through a uniform wire,the wire gets hotter because the electrons stop moving and therefore transform their lost kinetic energy into thermal energy in the wire.

Suppose you are playing hockey on a new-age ice surface for which there is no friction between the ice and the hockey puck.You wind up and hit the puck as hard as you can.After the puck loses contact with your stick,the puck will

A laser beam passes through a thin slit.When the pattern is viewed on a screen 1.25 m past the slit,you observe that the fifth-order dark fringes occur at ±2.41 cm from the central bright fringe.The entire experiment is now performed within a liquid,and you observe that each of the fifth-order dark fringes is 0.790 cm closer to the central fringe than it was in air.What is the index of refraction of this liquid?

A double slit illuminated with light of wavelength 588 nm forms a diffraction pattern on a screen 11.0 cm away.The slit separation is 2464 nm.What is the distance between the third and fourth bright fringes away from the central fringe?

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

A metal surface has a work function of 1.50 eV.Calculate the maximum kinetic energy,in eV,of electrons ejected from this surface by electromagnetic radiation of wavelength 311 nm.(c = 3.00 × 10⁸ m/s,h = 6.626 × 10^-34 J • s,e = - 1.60 × 10^-19 C,1 eV = 1.60 × 10^-19 J)

A block of mass m = 8.40 kg,moving on a horizontal frictionless surface with a speed 4.20 m/s,makes a perfectly elastic collision with a block of mass M at rest.After the collision,the 8.40 block recoils with a speed of 0.400 m/s. In the figure,the blocks are in contact for 0.200 s.The magnitude of the average force on the 8.40-kg block,while the two blocks are in contact,is closest to

The moons of Mars,Phobos (Fear)and Deimos (Terror),are very close to the planet compared to Earth's Moon.Their orbital radii are 9,378 km and 23,459 km respectively.What is the ratio of the period of revolution of Phobos to that of Deimos?

An object that weighs 2.450 N is attached to an ideal massless spring and undergoes simple harmonic oscillations with a period of 0.640 s.What is the spring constant of the spring?

A 1.0 m long piece of coaxial cable has a wire with a radius of 1.1 mm and a concentric conductor with inner radius 1.3 mm.The area between the cable and the conductor is filled with a dielectric.If the voltage drop across the capacitor is 6000 V when the line charge density is 8.8 μC/m,find the value of the dielectric constant.(k = 1/4πε₀ = 8.99 × 10⁹ N • m²/C²)

A 500-g particle is located at the point = 4m + 3m - 2m And is moving with a velocity = 5 m/s -2 ms + 4 m/s )What is the angular momentum of this particle about the origin?

A point charge Q is located a short distance from a point charge 3Q,and no other charges are present.If the electrical force on Q is F,what is the electrical force on 3Q?

The figure shows four Gaussian surfaces surrounding a distribution of charges. (a)Which Gaussian surfaces have an electric flux of +q/ε₀ through them? (b)Which Gaussian surfaces have no electric flux through them?