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Physics Questions and Answers October 24, 2019

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What is the difference in energy E E between the n = 0 n = 0 and n = 1 n = 1 vibrational states for diatomic hydrogen? The effective force constant kk for diatomic hydrogen is 5 7 6 N / m 5 7 6 N / m .

An electron ( charge = - 1 . 6 1 0 - 1 9 C ) is moving at 3 . 0 1 0 5 m s in the positive x direction. A magnetic field of 0 . 8 0 T is in the positive z direction. The force on the electron is: ON 3 . 8 4 1 0 - 1 4 N in the positive y direction 3 . 8 4 1 0 - 1 4 N in the negative y direction 4 . 5 1 0 - 1 4 N in the positive y direction 4 . 5 1 0
An electron ( charge = - 1 . 6 1 0 - 1 9 C ) is

When an object of unknown mass is attached to an ideal spring with force constant 1 1 0 N / mN / m , it is found to vibrate with a frequency of 7 . 5 0 HzHz . Find the period of the motion.

Ramon has contact lenses with the prescription + 1 . 5 D . What eye condition does Ramon have? What is his near point without the lenses?

Question 1 2 1 pts The refractive power of a lens of focal length 4 . 4 0 am is + 2 . 5 D + 0 . 4 0 D - 2 5 D $ 4 . 0 D + 0 . 1 6 D
Question 1 2 1 pts The refractive power of a lens

The atomic mass of carbon - 1 2 is 1 2 . 0 0 0 0 0 0 u

A 1 4 A current is charging a 1 . 4 cm - diameter parallel - plate capacitor. Part A What is the magnetic field strength at a point 1 . 7 mm radially from the center of the wire leading to the capacitor?

the intensity of an electronagnective wave having an intensity of 4 x 1 0 ^ - 9 is

A proton starts from the left of the screen and moves to the right of the screen and moves through an area of the screen such that an uniform magnetic field is pointing into the screen. Which path in the image below does the proton follow? B C A None of the paths
A proton starts from the left of the screen and

what is the angle for the first order maximum of 6 8 0 nm

A magnetic field of magnitude 0 . 4 4 0 T is oriented perpendicular to the plane of a circular loop.

When 1 kg of steam at 1 0 0 degrees celcius condenses to water at 1 0 0 degrees celsius, what is the change in entropy of the steam. The latent heat of vaporization of water is 2 2 . 6 x 1 0 ^ 5 J / kg

1 7 5 0 0 + ( 0 . 1 4 M ) + ( 3 3 3 . 7 7 M ( / 3 3 ) ) = 2 0 0 0 0 + ( 0 . 0 8 M ) + ( 3 5 3 . 7 7 M ( / 3 3 ) )

In a simple harmonic oscillator consisting of a block attached to a spring and set in motion, when the block is at x = A , what can we determine about the velocity of the block? Assume fully stretched is a positive displacement and fully compressed is a negative displacement.

1 0 0 g of water starts at 1 7 degrees Celsius within an enclosed container. How much heat is required to raise the temperature of the water to 2 0 0 degrees Celsius? The specific heat of water is 4 . 1 8 J / gC and the latent heat of vaporization is 2 . 2 6 J / g .

explain work - kinetic energy theorem in physics

An electric turntable 0 . 7 4 0 mm in diameter is rotating about a fixed axis with an initial angular velocity of 0 . 2 6 0 rev / srev / s . The angular acceleration is 0 . 9 0 6 rev / s 2 rev / s 2 .

The graph below represents the motion of a block moving back and forth. What is the frequency of the oscillation.
The graph below represents the motion of a block

7 . 4 . 1 2 A hoop of mass m = 7 kg and radius r is projected along a rough horizontal surface with a speed of v _ o = 6 m / s . The hoop's forward motion is resisted by a horizontal wind that can be modeled as a time - varying force

After exercising, your body and its radiation with a peak frequency of 1 . 8 2 ^ 1 3 Hz . The Temperature of your body when it emits this radiation

The electric field of an electromagnetic wave traveling in the vacuum of space is described by E = ( 6 . 1 7 1 0 3 ) sin ( kx t ) V / m . ( a ) What is the maximum value of the associated magnetic field for this electromagnetic wave? ( b ) What is the average energy density of the wave?

Timothy's power nuclear power plant works so well that General Electric asks him to design a much larger next generation power plant in Antarctica! ( And they pay him so well that he doesn't mind the hate mail he gets from her environmentalist former friends. ) Timothy's nuclear power plant uses water that is pressurized and heated so much that it

View Policies Current Attempt in Progress The figure shows wire 1 in cross section; the wire is long and straight, carries a current of 4 . 2 5 mA out of the page, and is at distance d 1 = 2 . 5 4 c m from a surface. Wire 2 , which is parallel to wire 1 and also long, is at horizontal distance d 2 = 5 . 1 9 c m from wire 1 and carries a current of
View Policies Current Attempt in Progress The

Calculate the pressure at an ocean depth of 1 2 1 0 m . The acceleration of gravity is 9 . 8 m / s 2 , atmospheric pressure is 1 . 0 1 1 0 5 Pa , and the density of the sea water is 1 0 2 4 kg / m 3 . Answer in units of Pa .

use the Heisenberg uncertainty principle to show that an electron cannot be confined within a nucleus. Repeat the calculation for a proton. Assume the radius of a nucleus to be 1 x 1 0 ^ - 1 5 m

A long horizontal wire carries 2 6 . 0 AA of current due north. What is the net magnetic field 2 5 . 0 cmcm due west of the wire if the Earth's field there points downward, 4 4 below the horizontal, and has magnitude 5 . 0 1 0 5 T 5 . 0 1 0 5 T ?

( a ) How much heat ( in J ) must be added to raise the temperature of 2 . 4 0 mol of air from 1 9 . 0 C to 2 9 . 0 C at constant volume? Assume air is completely diatomic. J ( b ) Repeat the problem for the same number of moles of helium, He . ( Enter your answer in J . ) J

After parachuting out of California Screamin, Elisa gets her annual pass to Disney Land and California Adventure revoked and is banned from all Disney properties. So Elisa goes next door to Knott's Berry Farm and gets on Hang Time, which starts from a height of 1 5 0 feet ( 4 6 m ) before dropping and going into a vertical loop that has a radius

Wien's Displacement Law: m a x = 2 8 9 8 m T ( K ) Constants: The speed of light ( c ) is 3 1 0 8 meters per second. The solar sphere of our Solar System has a radius of 6 . 9 6 1 0 8 meters. The distance from the center of our sun to the Earth is approximately 1 . 5 1 0 1 1 meters. The surface irradiance of the Sun is 6 . 3 2 1 0 7 W m - 2 . The

A beam of electrons with kinetic energy 3 6 keV is shot through two narrow slits in a barrier. The slits are a distance 2 . 1 1 0 6 m apart. If a screen is placed 4 1 . 0 cm behind the barrier, calculate the spacing between the "bright" fringes of the interference pattern produced on the screen.

An ideal monatomic gas with N particles undergoes an expansion ( process A - B ) from a volume V 0 to V = 2 V 0 such that its pressure is given by p = p 0 * V / V 0 during the expansion ( with p 0 , V 0 constant ) . Then the gas pressure is reduced, at constant volume, until it reaches p 0 ( process B - C ) . The gas then undergoes an isobaric

At point AA , 4 . 0 0 mm from a small source of sound that is emitting uniformly in all directions, the intensity level is 5 7 . 0 dBdB . What is the intensity of the sound at AA ?

Some of the energy states of a hypothetical atom, in units of electron volts, are E 1 E 1 = - 3 1 . 5 0 , E 2 E 2 = - 1 2 . 0 0 , E 3 E 3 = - 5 . 2 0 , E 4 E 4 = - 3 . 6 0 . Part A Determine the energy of the least energetic photon that can be absorbed by these atoms when initially in their ground state. Express your answer in electron volts.

A 1 0 - kg package drops from chute into a 2 5 - kg cart with a velocity of 5 m / s . The cart is initially moving toward package at a speed of 1 . 0 m / s and can roll freely with no friction. Determine: a ) the final velocity of the cart, b ) the impulse exerted by the cart on the package, c ) the fraction of the initial energy lost in the impact

A canister of gas is at a pressure of 1 0 1 , 3 2 5 Pa and a temperature of 2 9 . 4 C . A ) If the gas is heated at constant volume until the pressure triples, what is the final temperature in C ? T = B ) If the gas is heated so that both the pressure and volume are doubled, what is the final temperature in C ? Assume the same starting temperature

1 . I apply a pushing force to a block on the floor. The force I apply to the block is at an angle to the horizontal, downward and to the left. ( a ) Is the normal force on the block... ( check one ) o Greater than the block s weight o Less than the block s weight o Equal to the block s weight ( b ) Explain how it is possible for the block to move

5 . The primary coil of a transformer has 1 0 0 0 turns, and its secondary coil has 4 0 0 turns. If the AC voltage amplitude applied to the primary coil is 1 2 0 V , and the current drawn by the electronic components connected to the secondary coil is 2 A , how much power is being used? ( Assume perfect efficiency and current and voltage are in

Part A What is the cone of acceptance of an optical fiber for which the index of refraction of the core is 1 . 3 5 while that of the cladding is 1 . 2 5 ? You can model the fiber as a cylinder with a flat entrance face.
Part A What is the cone of acceptance of an

A 2 0 - kg cabinet is mounted on casters that allow it to move freely ( = 0 ) on the floor. If a 1 6 0 - N force is applied as shown, determine the acceleration of the cabinet?
A 2 0 - kg cabinet is mounted on casters that

a stone is dropped at t = 0 . a second stone with 6 times the mass of the first is dropped from the same point at t = 1 6 0 ms . How far below the release point is the center of mass of the two stones at t = 4 1 0 ms ? ( neither stone has yet reached the ground. ) How fast is the center of mass of the two - stone system moving at that time?

Assuming there is no friction, calculate the minimum speed, in meters per second, required to take a 9 7 . 5 m 9 7 . 5 m radius curve banked at 1 2 . 7 1 2 . 7 so that you don't slide inwards. vminvmin = 1 4 . 5 0 1 4 . 5 0 m / sm / s Correct ! Part ( b ) What is the minimum coefficient of friction needed for a frightened driver to take the same

An object is attached to a vertical spring and bobs up and down between points A and B . Where is the object located when its kinetic energy is a minimum? at either A or B midway between A and B one - third of the way between A and B at none of the above points
An object is attached to a vertical spring and

1 8 . Three children are spinning on a merry - go - round and sit on the outside edge. To go faster ( increase angular velocity ) , they decide to sit closer to the center. Does this choice make sense? Why? A . Yes, this makes sense. They have increased the mass of the system. B . No , this does not make sense. They have increased the mass of the
1 8 . Three children are spinning on a merry - go

A simple pendulum makes 1 4 1 complete oscillations in 3 . 1 0 min at a location where g = 9 . 8 0 m / s 2 . ( a ) Find the period of the pendulum. ( b ) Find the length of the pendulum.

L 1 0 - 2 [ 1 0 marks ] A person standing still on a train holds a rod of length \ ( l \ ) ( length at rest ) . The rod leans at an angle \ ( \ theta \ ) with respect to the horizontal direction. The train is moving with speed \ ( v \ ) relative to the ground. According to an observer on the ground, ( a ) what is the projected length of the rod
L 1 0 - 2 [ 1 0 marks ] A person standing still

A person in a boat sees a fish in the water of index 1 . 3 3 at an angle of 5 5 relative to the water's surface. What is the true angle relative to the water's surface? Answer in units of .
A person in a boat sees a fish in the water of

I have fixed a typo in final exam question 8 . The latest version of the final reflects this change. The problem should read as follows. 8 . ( 3 0 pts ) Two cars, a red one and a blue one, start from rest and race down a flat level road for a distance of 2 0 0 0 m . The blue car's driver has the fastest reaction time and when the starting flag
I have fixed a typo in final exam question 8 .

A plastic hemisphere floats like a boat in a tank of fresh water. The hemisphere has a mass of 2 1 grams and a diameter of 8 . 0 centimeters. What is the mass of the heaviest object that, in perfectly still water, won't sink the plastic boat?
A plastic hemisphere floats like a boat in a tank

Pofiles Tab Window Help 6 2 ed Assignments sments / assignments / 6 2 4 3 1 1 1 5 Statistics AP PHYSICS Explore Opportuni... Ladder Internships S 0 1 1 0 4 0 7 0 8 _ 2 0 0 1 1 Mark for Review A cylinder rolling across a horizontal surface travels up a ramp without slipping. The cylinder momentarily comes to rest at a height h 0 above the
Pofiles Tab Window Help 6 2 ed Assignments sments

Oil of density 8 5 0 kg / m 3 flows into a level tube of 0 . 0 2 0 m in diameter at a gauge pressure of 0 . 6 0 x 1 0 5 Pa . At a constriction, the tube diameter reduces to 0 . 0 0 8 m in diameter and the gauge pressure goes to 0 . 1 0 x 1 0 5 Pa .

Two protons, each having a speed of 0 . 9 4 0 c in the laboratory, are moving toward each other. Part A Determine the momentum of each proton in the laboratory. Enter your answers numerically separated by a comma. Request Answer Part B Determine the total momentum of the two protons in the laboratory. | p 1 + p 2 | = G e V c Request Answer Part C
Two protons, each having a speed of 0 . 9 4 0 c

A ? 6 1 3 C isotope is isolated from a lab sample. ( a ) What is the nuclear radius ( in fm ) ? fm ( b ) If a hypothetical isotope with quadruple the radius ( found in part ( a ) ) were isolated from the sample, what would its mass number be ?
A ? 6 1 3 C isotope is isolated from a lab

An object is shot vertically mpward into the atr whth a positive initiol relocit! What correctly describes the velocity and acceleration of the object at its maximum elevation? Velocity Aeceleration
An object is shot vertically mpward into the atr

If the pressure of the gas changes from 0 . 5 0 atm to 1 . 0 0 atm while the temperature is maintained at 3 0 0 K , occupied by the gas? Choose one: A . It increases by a factor of 2 . B . It decreases by a factor of 2 . C . It remains constant. D . There is no way to tell.
If the pressure of the gas changes from 0 . 5 0

[ - / 4 Points ] long. Determine the distance the swimmer traveled, the total displacement of the swimmer, the swimmer's average velocity, and the swimmer's average speed. a . ) Distance km b . ) Displacement q , km c . ) Average velocity k m h d . ) Average speed k m h
[ - / 4 Points ] long. Determine the distance the

Suppose a photon has a momentum of 4 . 6 1 0 2 9 kg m / s 4 . 6 1 0 2 9 kg m / s . What is the wavelength of such a photon in micrometers? Find its energy in electron volts.

An insulating hollow sphere has inner radius a and outer radius b . Within the insulating material the volume charge density is given by ( r ) = r , where is a positive constant. In terms of and a , what is the magnitude of the electric field at a distance r from the center of the shell, where a 1 - ( a r ) 2 0 2 a 1 - ( a r ) 2 0 a 1 - ( a r ) 2
An insulating hollow sphere has inner radius a

A light beam has a wavelength of 3 6 0 nm in a material of refractive index 1 . 5 0 . Part A In a material of refractive index 3 . 0 0 , its wavelength will be 5 4 0 nm . 3 6 0 nm . 2 4 0 nm . 1 8 0 nm . 1 2 0 nm .
A light beam has a wavelength of 3 6 0 nm in a

consider a purely capacitance circuit with c = 1 0 and the rms voltage is equal 1 5 0 B

What is the total force ( in N ) on the nut? (

The neutron has a mean life of about 1 5 minutes. ( a ) What is the intrinsic uncertainty, , in its rest energy? Two of its decay products are the proton and the electron. B ) What else is produced in the decay?

Question 1 1 . 5 pts If Olivia ran a distance of 1 0 0 m and her displacement is also 1 0 0 m , what can you deduce? Olivia ran 1 0 0 m in a circle Olivia ran 1 0 0 m in a straight line Olivia ran 1 0 0 m in a curvilinear path Need more information to answer
Question 1 1 . 5 pts If Olivia ran a distance of

Which particle has exactly one quantum unit of charge?

QUESTION 1 1 1 PTS A 1 . 0 C POINT CHARGE IS 1 5 M FROM A SECOND. POINT CHARGE, AND THE ELECTRIC FORCE ON ONE OF THEM DUE TO THE OTHER IS 1 . 0 N . WHAT IS THE MAGNITUDE OF THE SECOND CHARGE? 1 0 NC 2 5 NC 1 . 0 NC 2 5 C 0 . 0 2 5 NC
QUESTION 1 1 1 PTS A 1 . 0 C POINT CHARGE IS 1 5

What is the wavelength of a 1 . 1 0 kHz electromagnetic wave?

Which aortic valve cusp is the bottom one ( touching the septum ) ?

A 1 1 8 gram apple falls from a branch that is 2 . 5 meters above the ground. ( a ) How much time elapses before the apple hits the ground? s ( b ) Just before the impact, what is the speed of the apple? m / s

A spaceship is moving away from Earth at a speed of 0 . 2 5 c . A light source on the rear of the ship emits a light with wavelength 4 2 6 nm according to passengers on the ship. What wavelength is detected by someone on Earth watching the ship?

1 . ( Ch 1 4 P 1 6 ) A spring is hanging from the ceiling. Attaching a 5 0 0 g physics book to the spring causes it to stretch 2 0 cm in order to come to equilibrium.a . What is the spring constant?b . From equilibrium, the book is pulled down 1 0 cm and released. What is the period of oscillation?c . What is the books maximum speed?

In which direction inside the wire loop will the resulting induced magnetic field be as a result of encountering this external magnetic field.

A metal rod conducts a power P from one end held at 3 8 9 K to the other end held at 2 5 8 K . What power is conducted through a metal rod of half the length and with half the diameter? A ) 4 P B ) 2 P C ) P D ) P /

6 . A 4 8 N cart is pulled across a concrete path at a constant speed. A 4 2 N force is required to keep the cart moving. What is the coefficient of kinetic friction between the path and the cart?

The electron drift speed in a 3 . 0 0 - mm - diameter gold wire is 5 . 5 0 1 0 5 m / s .

Two slits spaced 0 1 3 0 mm apart are placed 9 0 cm from a screen and illuminated by coherent light of wavelength 5 5 0 . ( a . ) What is the distance in millimeters on the screen between the center of the central maximum and the center of the third - order maximum? ( b . ) Whatis the distance in millimeters on the screen between the center of the

The electric flux through a sphere of radius r surrounding a point charge q is . The electric flux through a sphere of radius 2 r surrounding the same point charge is q , 4 2 4
The electric flux through a sphere of radius r

A spring is stretched 1 9 0 mmmm by a 1 7 kgkg block. Part A If the block is displaced 1 2 0 mmmm downward from its equilibrium position and given a downward velocity of 0 . 7 0 m / sm / s , determine the equation which describes the motion. Assume that positive displacement is downward. y = 9 . 7 4 1 0 2 sin 7 . 1 9 t + 0 . 1 2 0 cos 7 . 1 9 ty =

In a double - slit experiment, let d = 9 . 5 0 D = 5 0 . 0 . Compare ( as a ratio ) the intensity of the third - order interference maximum with that of the zero - order maximum.

A 1 0 0 0 kg satellite and a 2 0 0 0 kg satellite follow exactly the same orbit around the earth. what is the ratio F 1 / F 2 of the force on the first satellite to that on the second satellite? what is the ratio a 1 / a 2 of the acceleration of the first satellite to that of the second satellite?

If the linear mass density of a string is 0 . 0 0 6 kg / m and the wavelength and frequency of the string are 1 . 3 m and 8 2 Hz respectively, what is the tension in the string?

When a slice of buttered toast is accidentally pushed over the edge of a counter, it rotates as it falls. If the distance to the floor is 5 4 cm and for rotation less than 1 rev, what are the ( a ) smalle and ( b ) largest angular speeds that cause the toast to hit and then topple to be butter - side down? Assume free - fall acceleration to be

The electric field of an electromagnetic wave in a vacuum is Ey = ( 1 6 . 0 V / m ) cos ( ( 9 . 0 8 1 0 8 ) x t ) , where x is in mm and t is in s . What s the wave's wavelength? What is the wave's frequency? What is the wave's magnetic field amplitude?

Which of the following statements describe the conditions necessary for a motion to be classified as simple harmonic motion ( SHM ) ? Group of answer choices Its period and frequency of motion are independent of its amplitude. The motion repeats in a regular, periodic manner. The restoring force acting on the object is proportional to the

What is the total translational kinetic energy of the air in an empty room that has dimensions 7 . 0 0 m 1 2 . 0 m 5 . 0 0 m 7 . 0 0 m 1 2 . 0 m 5 . 0 0 m if the air is treated as an ideal gas at 1 . 0 0 atmatm? What is the speed of a 2 0 0 0 kgkg automobile if its kinetic energy equals the translational kinetic energy calculated in part A ?

A distance of 3 . 2 0 cm is measured between two adjacent nodes of a standing wave on a 1 6 . 0 cm - long string. HINT ( a ) In which harmonic number n is the string vibrating? ( b ) Find the frequency ( in Hz ) of this harmonic if the string has a mass of 1 . 4 5 1 0 2 kg and a tension of 8 3 5 N . Hz

An earth satellite is observed at perigee to be 2 5 0 km above the earth's surface and traveling at about 8 5 0 0 m / s . Find the eccentricity of its orbit and its height above the earth at apogee. [ Hint: The earth's radius is Re ' , - z = 6 . 4 x 1 0 6 m . You will also need to know GMe, but you can find this if you remember that GMe / RZ = g .

A glass windowpane in a home is 0 . 6 2 cm thick and has dimensions of 1 . 2 m 1 . 8 m . On a certain day, the indoor temperature is 2 0 C and the outdoor temperature is 0 C . ( a ) What is the rate at which energy is transferred by heat through the glass? W ( b ) How much energy is lost through the window in one day, assuming the temperatures

In one cycle, a heat engine absorbs 1 . 7 3 kJ from a hot reservoir at 2 7 7 C and expels 1 . 1 8 kJ to a cold reservoir at 2 7 C . ( a ) What is the engine's thermal efficiency ( in percent ) ? ( b ) How much work is done by the engine ( in J ) in each cycle? ( c ) What is the engine's power output ( in kW ) if each cycle lasts 0 . 2 9 9 s ?

Refraction at a curved surface: A swimming pool is filled to a depth of 2 . 0 m . How deep does the pool appear to be from above the water, which has an index of refraction of 1 . 3 3 ? A ) 1 . 5 m B ) 1 . 3 3 m C ) 2 . 5 m D ) 3 . 0 m E ) 4 . 0 cm

The escaping speed formula is v e s c = 2 G M R 2 , M is the mass of the planet or the sun for a spaceship to scape from, R is the distance to the center of Earth or Sun from the initial position of the spaceship. a ) Prove this formula based on the class note and using algebra. b ) And find the escaping speed of the Earth. 2 pt
The escaping speed formula is v e s c = 2 G M R 2

Naif Alamri is preparing for his new career on the PGA tour. He wants to increase his driving distance by lengthening his driver. He decides to build a new driver that is identical to his old driver except for the fact that the new driver is six inches longer. The masses are the same ( 0 . 2 5 kg ) and the moment of inertia about the center of

Temperature Scales: The temperature in your classroom is closest to Select one: A . 6 8 K . B . 5 0 C . C . 6 8 C . D . 2 9 5 K .
Temperature Scales: The temperature in your

In terms of biological damage, how many rad of heavy ions is equivalent to 3 4 9 rad of x - rays?

A resistor with 9 0 0 . 0 is connected to the plates of a charged capacitor with capacitance 5 . 1 0 FF . Just before the connection is made, the charge on the capacitor is 8 . 6 0 mCmC . What is the energy initially stored in the capacitor? Express your answer in joules. What is the electrical power dissipated in the resistor just after the

A capacitor with a capacitance 5 . 0 0 1 0 5 F 5 . 0 0 1 0 5 F is charged by connecting it to a 1 5 . 0 VV battery. The capacitor is then disconnected from the battery and connected across an inductor with LL = 1 . 4 0 HH . What is the angular frequency of the electrical oscillations? What is the initial charge on the capacitor?

During an earthquake, a simple pendulum bob of mass m = 1 8 0 . m = 1 8 0 . [ g ] performs small oscillations about the vertical. What is the frequency of the bob's oscillation if it is suspended by a taut and massless string of length L = 1 2 . 5 L = 1 2 . 5 [ cm ] ? 8 . 8 6 8 . 8 6 [ Hz ] 0 . 0 1 8 0 0 . 0 1 8 0 [ Hz ] 1 . 4 1 1 . 4 1 [ Hz ] 0 .

assuming an idealized parallel plate capacitor, relate the uniform field inside the capacitor to the charge density on the plates, and then show that the total displacement current

A 3 0 0 g object attached to a horizontal spring moves in simple harmonic motion with a period of 0 . 2 3 0 s . The total mechanical energy of the spring object system is 3 . 0 0 J . ( a ) What is the spring constant ( in N / m ) ? How is angular frequency related to the spring constant and mass? How is angular frequency related to the period? N /

What is the wheel's moment of inertia ( in kg m 2 ) ? kg m 2 ( b ) What is the magnitude of the torque caused by friction ( in N m ) ? N m ( c ) From the time the directed force is initially applied, how many revolutions does the wheel go through? revolutions

( I ) The field just outside a 3 . 5 0 - cm - radius metal ball is 6 . 2 5 * 1 0 2 N / C and points toward the ball. What charge resides on the ball?

The critical angle for total internal reflection at a liquid - air interface is 4 5 . 0 . Part A If a ray of light traveling in the liquid has an angle of incidence at the interface of 3 3 . 5 , what angle does the refracted ray in the air make with the normal? Part B If a ray of light traveling in air has an angle of incidence at the interface of

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