A roller coaster at the Six Flags Great America amusement park in Gurnee, IL, incorporates some clever design technology and some basic physics. Each vertical loop, instead of being circular, is...

An astronaut wishes to visit the Andromeda galaxy, making a one-way trip that will take 30.0 yr in the spacecrafts frame of reference. Assume that the galaxy is 2.00 x 106 ly away and that the...

Jonathan and Jane are sitting in a sleigh that is at rest on frictionless ice. Jonathan's weight is 800 N, Jane's weight is 600 N, and that of the sleigh is 1000 N. They see a poisonous spider on the...

A large tank of water has a hose connected to it, as shown in Fig. 18.29. The tank is sealed at the top and has compressed air between the water surface and the top. When the water height h has the...

An elastic cord is 65 cm long when a weight of 75 N hangs from it but is 85 cm long when a weight of 180N hangs from it. What is the spring constant k of this elastic cord?

In Figure, a baseball is hit at a height h = 1.00m and then caught at the same height. It travels alongside a wall, moving up past the top of the wall 1.00 s after it is hit and then down past the...

One of the most efficient heat engines ever built is a steam turbine in the Ohio valley, operating between 430C and 1 870C on energy from West Virginia coal to produce electricity for the Midwest....

Mammals that depend on being able to run fast have slender lower legs with flesh and muscle concentrated high, close to the body (Fig. 8-34) On the basis of rotational dynamics, explain why this...

(a) Show that the density of nuclear matter is essentially the same for all nuclei. (b) What would be the radius of the Earth if it had its actual mass but had the density of nuclei? (c) What would...

A bimetallic strip is made of two ribbons of dissimilar metals bonded together. (a) First assume the strip is originally straight. As they are heated, the metal with the greater average coefficient...

An apple weighs 1.00 N. When you hang it from the end of a long spring of force constant 1.50 N/m and negligible mass, it bounces up and down in SHM. If you stop the bouncing and let the apple swing...

(a) On January 22, 1943, the temperature in Spearfish, South Dakota, rose from -4.0F to 45.0F in just 2 minutes. What was the temperature change in Celsius degrees? (b) The temperature in Browning,...

Consider a sinusoidal electromagnetic wave with fields E = Emax j sin (kx wt) and B = Bmax k sin (kx wt + Ф), with < Ф < . Show that if E and B are to satisfy Eqs. (32.12) and (32.14),...

The magnitude of the magnetic dipole moment of Earth is 8.0 x 1022 J/T. (a) If the origin of this magnetism were a magnetized iron sphere at the center of Earth, what would be its radius? (b) What...

When a large star becomes a supernova, its core may be compressed so tightly that it becomes a neutron star, with a radius of about 20 km (about the size of the San Francisco area). If a neutron star...

If you were to travel to a star 125 light-years from earth at a speed of 2.50 X 108 m/s, what would you measure this distance to be?

A movie star catches a reporter shooting pictures of her at home. She claims the reporter was trespassing. To prove her point, she gives as evidence the film she seized. Her 1.75-m height is 8.25 mm...

As a particle moves along an x axis, a force in the positive direction of the axis acts on it. Figure shows the magnitude F of the force versus position x of the particle. The curve is given by F =...

When the temperature of a copper coin is raised by 100 C o , its diameter increases by 0.18% to two significant figures, give the percent increase in (a) The area of a face, (b) The thickness, (c)...

In Figure a "semi-infinite" non-conducting rod (that is, infinite in one direction only) has uniform linear charge density , Show that the electric field Ep at point P makes an angle of 45o with the...

Suppose a heat engine is connected to two energy reservoirs, one a pool of molten aluminum (660C) and the other a block of solid mercury ("38.9C). The engine runs by freezing 1.00 g of aluminum and...

Getting back an explorer in the dense jungles of equatorial Africa leaves his hut. He takes 40 steps northeast, then 80 steps 60 north of west, then 50 steps due south. Assume his steps all have...

A gardener feels it is taking him too long to water a garden with a 3/8-in diameter hose. By what factor will his time be cut if he uses a 3/8-in diameter hose? Assume nothing else is change?

Eight point charges, each of magnitude q, are located on the corners of a cube of edge s, as shown in Figure P23.69. (a) Determine the x, y, and z components of the resultant force exerted by the...

(a) How much heat does it take to increase the temperature of 2.50 mol of a diatomic ideal gas by 30.0 K near room temperature if the gas is held at constant volume? (b) What is the answer to the...

Liquid-cooled systems have high heat transfer coefficients associated with them, but they have the inherent disadvantage that they present potential leakage problems. Therefore, air is proposed to be...

(a) Determine the classical turning points for the potential U(x) = A| x | and for an energy E.(b) Carry out the above integral and show that the allowed energy levels in the WKB approximation are...

Determine the minimum gauge pressure needed in the water pipe leading into a building if water is to come out of a faucet on the twelfth floor, 38m above that pipe.

Radio Interference. Two radio antennas A and B radiate in phase. Antenna B is 120 m to the right of antenna A. Consider point Q along the extension of the line connecting the antennas, a horizontal...

A solid sphere of radius 40.0 cm has a total positive charge of 26.0 %C uniformly distributed throughout its volume. Calculate the magnitude of the electric field (a) 0 cm, (b) 10.0 cm, (c) 40.0 cm,...

A hollow conducting sphere is surrounded by a larger concentric spherical conducting shell. The inner sphere has charge -Q, and the outer shell has net charge +3Q. The charges are in electrostatic...

A conducting rod of length = 35.0 cm is free to slide on two parallel conducting bars as shown in Figure P31.50. Two resistors R1 = 2.00 Ω and R2 = 5.00 Ω are connected across the ends of...

A capacitor C has been charged up to potential V0; at time t = 0 it is connected to a resistor R, and begins to discharge (Fig. 7.5a). (a) Determine the charge 0n the capacitor as a function of time,...

There are two horizontal forces on the 2.0 kg box in the overhead view of Figure but only one (of magnitude F1 = 20 N) is shown. The box moves along the x axis. For each of the following values for...

In Figure a 49 kg rock climber is climbing a "chimney." The coefficient of static friction between her shoes and the rock is 1.2; between her back and the rock is 0.80. She has reduced her push...

Suppose the electric field between the electric plates in the mass spectrometer of Fig. 20-39 is 2.48 X 104 V/m and the magnetic field B = B = 0.68 T. The source contains carbon isotopes of mass...

A certain spring is found not to conform to Hooke's law. The force (in Newtons) it exerts when stretched a distance x (in meters) is found to have magnitude 52.8x + 38.4x 2 in the direction opposing...

Two masses m1 and m2 (m1 m2) are connected by a rigid rod of length d and of negligible mass. An extension less string of length l1 is attached to m1 and connected to a fixed point of support P....

A 9300-kg boxcar traveling at 15.0 m/s strikes a second boxcar at rest. The two stick together and move off with a speed of 6.0m/s. What is the mass of the second car?

An 85 kg worker at a breeder reactor plant accidentally ingests 2.5 mg of 239Pu, dust. This isotope has a half-life of 24 100 y, decaying by alpha decay. The energy of the emitted alpha particles is...

The field just outside 3.50-cm-radius metal ball is 2.75 X 102 N/C and points toward the ball. What charge resides on the ball?

A point mass m slides without friction on a horizontal table at one end of a mass less spring of natural length a and spring constant k as shown in Figure 3-C. The spring is attached to the table so...

To suck lemonade of density 1000 kg/m3 up a straw to a maximum height of 4.0 cm, what minimum gauge pressure (in atmospheres) must you produce in your lungs?

A young boy with a broken leg is undergoing traction. (a) Find the magnitude of the total force of the traction apparatus applied to the leg, assuming the weight of the leg is 22 N and the weight...

A heliumneon laser (A = 632.8 nm) is used to calibrate a diffraction grating. If the first-order maximum occurs at 20.5, what is the spacing between adjacent grooves in the grating?

Two charges are placed as shown in Fig. 21.53. The magnitude of q1 is 3.00 µC, but its sign and the value of the charge q2 are not known. The direction of the net electric field E at point P is...

An automobile with a mass of 1000 kg, including passengers, settles 1.0 cm closer to the road for every additional 100kg of passengers. It is driven with a constant horizontal component of speed...

A drowsy cat spots a flowerpot that sails first up and then down past an open window. The pot is in view for a total of 0.50 s, and the top-to-bottom, height of the window is 2.00 m. How high above...

A warehouse worker pushes a crate along the floor, as shown in Fig. 4.31, with a force of 10 N that points downward at an angle of 450 below the horizontal. Find the horizontal and vertical...

The total electric flux from a cubical box 28.0 cm on a side is 1.45 X 103 N m2/C. What charge is enclosed by the box?

When an alpha particle collides elastically with a nucleus, the nucleus recoils. Suppose a 5.00MeV alpha particle has a head-on elastic collision with a gold nucleus that is initially at rest. What...

1. The torque on a shaft of radius 3.00 cm is 12.0 N m. What force is being applied to the shaft? 2. An engine bolt is torqued to 30.0 N m. If the length of the wrench is 29.0 cm, what force is...

The block has a mass of 0.5 kg and moves within the smooth vertical slot. If the block starts from rest when the attached spring is in the unstretched position at A, determine the constant vertical...

For the situation shown in Figure P31.32, the magnetic field changes with time according to the expression B = (2.00t 3 - 4.00t 2 + 0.800)T, and r2 = 2R = 5.00 cm. (a) Calculate the magnitude and...

A 10.0-mH inductor carries a current I = I max sin 1t, with I max = 5.00 A and 1/2) = 60.0 Hz. What is the back emf as a function of time?

(a) What is the magnitude of the momentum of a 10,000-kg truck whose speed is 12.0 m/s? (b) What speed would a 2,000-kg SUV have to attain in order to have (i) the same moment? (ii) the same kinetic...

A rock with mass m = 3.00 kg is suspended from the roof of an elevator by a light cord. The rock is totally immersed in a bucket of water that sits on the floor of the elevator, but the rock doesn't...

The variable capacitor in the tuner of an AM radio has a capacitance of 2800 pF when the radio is tuned to a station at 580 kHz. (a) What must be the capacitance for a station at 1600 kHz? (b) What...

How long does it take the Sun to melt a block of ice at 0oC with a flat horizontal area 1.0m2 and thickness 1.0cm? Assume that the Suns rays make an angle of 30o with the vertical and that the...

Because the Earth rotates about its axis, a point on the equator experiences a centripetal acceleration of 0.033 7 m/s2, while a point at the poles experiences no centripetal acceleration. (a) Show...

Two spheres having masses M and 2M and radii R and 3R, respectively, are released from rest when the distance between their centers is 12R. How fast will each sphere be moving when they collide?...

A geologist finds that a Moon rock whose mass is 9.28kg has an apparent mass of 6.18 kg when submerged in water. What is the density of the rock?

A generator at one end of a very long string creates a wave given by y = (6.0 cm) cos /2 [(2.00m-1) x + (8.00 s-1)t], and a generator at the other end creates the wave y = (6.0 cm) cos /2 [(2.00...

A box contains N identical gas molecules equally divided between its two halves. For N = 50, what are? (a) The multiplicity W of the central configuration, (b) The total number of microstates, and...

In the circuit in Fig. 26.47, a 20.0-Ω resistor is inside 100 g of pure. Water that is surrounded by insulating styrofoam. If the water is initially at 10.0°C, how long will it take for its...

Two blocks each of mass m, are attached to the ends of a mass less rod which pivots as shown in Fig.8-40. Initially the rod is held in the horizontal position and then released. Calculate the...

A 20.0-F capacitor is charged by a 150.0-V power sopply, then disconnected from the power and connected in series with a 0.280-mH inductor. Calculate: (a) The oscillation frequency of the circuit;...

In the circuit shown in Fig. 30.26, switch S has been closed for a long enough time so that the current reads a steady 3.50 A. Suddenly, switch S2 is closed and S1 is opened at the same instant.(a)...

A series circuit has an impedance of 60.0 and a power factor of 0.720 at 50.0 Hz. The source voltage lags the current. (a) What circuit element, an inductor or a capacitor, should be placed in series...

You are standing on a sheet of ice that covers the football stadium parking lot in Buffalo; there is negligible friction between your feet and the ice. A friend throws you a 0.400-kg ball that is...

A sphere of radius 20.0 cm and mass 1.80 kg starts from rest and rolls without slipping down a 30.0o incline that is 10.0 m long. (a) Calculate its translational and rotational speeds when it reaches...

A small blob of putty of mass m falls from the ceiling and lands on the outer rim of a turntable of radius R and moment of inertia I0 that is rotating freely with angular speed i about its vertical...

A three-span continuous beam ABCD with three equal spans supports a uniform load of intensity q (see figure). Determine all reactions of this beam and drawn the shear-force and bending-moment...

A 6 12-in. plate is subjected to four loads as shown. Find the resultant of the four loads and the two points at which the line of action of the resultant intersects the edge of the plate. 50 lb 20...

(a) If it has enough kinetic energy, a molecule at the surface of the Earth can escape the Earths gravitation, in the sense that it can continue to move away from the Earth forever, as discussed in...

One person drops a ball from the top of a building while another person at the bottom observes its motion. Will these two people agree on the value of the gravitational potential energy of the...

Calculate the electric field at one corner of a square 1.00m on a side if the other three corners are occupied by 2.25 X 10-6 C charges.

What is the diameter of a 1.00-m length of tungsten wire whose resistance is 0.32?

Determine Vo and Io in the circuit of Fig. 10.80 using mesh analysis. j4 4-30 A

A test driver at Incredible Motors, Inc., is testing a new model car with a speedometer calibrated to read m/s rather than mi/h. The following series of speedometer readings was obtained during a...

The fundamental frequency of a pipe that is open at both ends is 594 Hz. (a) How long is this pipe? If one end is now closed, find (b) The wavelength and (c) The frequency of the new fundamental.

A monatomic ideal gas is taken around the cycle shown in Fig. 20.29 in the direction shown in the figure. The path for process c → a is a straight line in the pV-diagram. (a) Calculate Q, W, and...

Two concentric spherical conducting shells of radii a = 0.400 m and b = 0.500 m are connected by a thin wire as shown in Figure Q25.15. If a total charge Q = 10.0 +C is placed on the system, how much...

A steel rod is 3.000 cm in diameter at 25.00 o C. A brass ring has an interior diameter of 2.992cm at 25.00 o C. At what common temperature will the ring just slide onto the rod?

A flat sheet is in the shape of a rectangle with sides of lengths 0.400 m and 0.600 m. The sheet is immersed in 8 uniform electric field of magnitude 75.0 N/C that is directed at 20o from the plane...

A record turntable is rotating at 33 1/3 rev/min. A watermelon seed is on the turntable 6.0 cm from the axis of rotation. (a) Calculate the acceleration of the seed, assuming that it does not slip....

A coil of inductance 88 mH and unknown resistance and a 0.94F capacitor are connected in series with an alternating emf of frequency 930 Hz. If the phase constant between the applied voltage and the...

People who ride motorcycles and bicycles learn to look out for bumps in the road, and especially for wash boarding, a condition in which many equally spaced ridges are worn into the road. What is so...

An electric dipole with dipole moment p = (3.00i + 4.00j) (1.24 x 1030 C m) in an electric field E = (4000 N/C)i. (a) What is the potential energy of the electric dipole? (b) What is the torque...

Consider an Al-12% Mg alloy (Figure 11-29). During solidification, determine (a) The composition of the first solid to form; (b) The liquidus temperature, solidus temperature, solvus temperature, and...

A rock tied to a rope moves in the xy-plane. Its coordinates are given as functions of time by s(t) = R cos wt y(t) = R sin wt where R and", are constants. (a) Show that the rock's distance from the...

Obviously, we can make rockets to go very fast, but what is a reasonable top speed? Assume that a rocket is fired from rest at a space station in deep space, where gravity is negligible. (a) If the...

The rate at which radiant energy from the sun reaches the earth's upper atmosphere is about 1.50 kW /m2 The distance from the earth to the sun is 1.50 X 1011 m, and the radius of the sun is 6.96 X...

A diesel engine performs 2200 J of mechanical work and discards 4300 J of heat each cycle. (a) How much heat must be supplied to the engine in each cycle? (b) What is the thermal efficiency of the...

A wheel 33 cm in diameter accelerates uniformly from 240 rpm to 360 rpm in 6.5s. How far will a point on the edge of the wheel have traveled in this time?

An ideal monatomic gas initially has a temperature of 330 K and a pressure of 6.00 atm. It is to expand from volume 500 cm3 to volume 1500 cm3. If the expansion is isothermal, what are? (a) The final...

Two smooth disks A and B have the intial velocities shown just before they collide at O. If they have masses mA = 8 kg and mg = 6 kg, determine their speeds just after impact. The coefficient of...

In a photocell, ultraviolet (UV) light provides enough energy to some electrons in barium metal to eject them from a surface at high speed. See Fig. 17-33. To measure the maximum energy of the...

On his honeymoon James Joule traveled from England to Switzerland. He attempted to verify his idea of the interconvertibility of mechanical energy and internal energy by measuring the increase in...

A ladder of uniform density and mass m rests against a frictionless vertical wall, making an angle of 60.0 with the horizontal. The lower end rests on a flat surface where the coefficient of static...