The star Rho1 Canori is 57 light-years from the earth and has a mass 0.85 times that of our sun. A planet has been detected in a circular orbit around Rho1 Cancri with an orbital radius equal to 0.11...

Is Ampere's law consistent with the general rule (Eq. 1.46) that divergence-of-curl is always zero? Show that Ampere's law cannot be valid, in general, outside magneto-statics. Is there any such...

Calculate the moment of inertia of a uniform solid cone about an axis through its center (Fig. 9.40). The cone has mass M and altitude h. The radius of its circular base is R. Axis

Calculate the mass defect, the binding energy (in MeV), and the binding energy per nucleon of (a) The nitrogen nucleus, 147N and (b) The helium nucleus, 42He. (c) How do the results of parts (a) and...

A circular loop of wire can be used as a radio antenna. If a 18.0-cm-diameter antenna is located 2.50 km from a 95.0-MHz source with a total power of 55.0 kW, what is the maximum emf induced in the...

A 5.0kg toy car can move along an x axis; Figure gives Fx of the force acting on the car, which begins at rest at time t = 0. The scale on the Fx axis is set by Fxs, = 5.0 N. In unit-vector notation,...

The position of a particle is given by the expression x = (4.00 m) cos (3.00)t % )), where x is in meters and t is in seconds. Determine (a) The frequency and period of the motion, (b) The amplitude...

A pair of long, rigid metal rods, each of length L, lies parallel to each other on a perfectly smooth table. Their ends are connected by identical, very light conducting springs of force constant k...

A 10.2-cm-diameter wire coil is initially oriented so that its plane is perpendicular to a magnetic field of 0.63 T pointing up. During the course of 0.15 s. the field is changed to one of 0.25 T...

A puck of mass m is attached to a cord passing through a small hole in a frictionless, horizontal surface (Fig. P11.49), the puck is initially orbiting with speed vi in a circle of radius ri. The...

A horizontal compass is placed 18cm due south from a straight vertical wire carrying a 35-A current downward. In what direction does the compass needle point at this location? Assume the horizontal...

A capacitor is constructed from two square plates of sides and separation d. A material of dielectric constant 1 is inserted a distance x into the capacitor, as shown in Figure P26.64. Assume that d...

A 500-W heating coil designed to operate from 110 V is made of Nichrome wire 0.500 mm in diameter. (a) Assuming that the resistivity of the Nichrome remains constant at its 20.0C value, find the...

In 2009, one of the U.S government's bailout packages was $700 billion when gold was worth $800 per ounce ($28.20 per gram). Calculate the mass in grams of $700 billion worth of gold. If this amount...

A 6.0-cmdiameter horizontal pipe gradually narrows to 4.0cm. When water flows through this pipe at a certain rate, the gauge pressure in these two sections is 32.0kPa and 24.0 kPa, respectively. What...

In Figure, a tin of antioxidants (m 1 = 1.0 kg) on a frictionless inclined surface is connected to a tin of corned beef (m 2 = 2.0 kg). The pulley is mass less and frictionless. An upward force of...

1-m3 of saturated liquid water at 200C is expanded isothermally in a closed system until its quality is 80 percent. Determine the total work produced by this expansion, in kJ.

A uniform, 0.0300-kg rod of length 0.400 m rotates in a horizontal plane about a fixed axis through its center and perpendicular to the rod. Two small rings, each with mass 0.0200 kg, are mounted so...

A shotgun fires a large number of pellets upward, with some pellets traveling very nearly vertically and others as much as 1.00 from the vertical. Assume that the initial speed of the pellets is...

The wavelength of red heliumneon laser light in air is 632.8 nm. (a) What is its frequency? (b) What is its wavelength in glass that has an index of refraction of 1.50? (c) What is its speed in the...

Varying Coefficient of Friction A box is sliding with a speed of 4.50 m/s on a horizontal surface when, at point P. it encounters a rough section. On the rough section, the coefficient of friction is...

A 20.0-kg box rests on a table. (a) What is the weight of the box and the normal force acting on it? (b) A 10.0-kg box is placed on top of the 20.0-kg box, as shown in Fig.4-38. Determine the normal...

Show that the time T required for a particle of charge q moving with constant speed v to make one circular revolution in a uniform magnetic field B ( v) is. 2am qB

Terminal Speed A conducting rod with length L, mass m, and resistance R moves without friction on metal rails. A uniform magnetic field B is directed into the plane of the figure. The rod starts from...

An automobile traveling at 80.0 km/h has tires of 75.0 cm diameter. (a) What is the angular speed of the tires about their axles? (b) If the car is brought to a stop uniformly in 30.0 complete turns...

In crystals of the salt cesium chloride, cesium ions Cs+ form the eight corners of a cube and a chlorine ion Cl?? is at the cube's center (Figure). The edge length of the cube is 0.40 nm. The Cs+...

Block A in Fig. 5.68 weighs 1.40 N, and block B weighs 4.20 N. The coefficient of kinetic friction between all surfaces is 0.30. Find the magnitude of the horizontal force F necessary to drag block B...

Block a in Fig. 5.69 has a mass of 4.00 kg, and block B has mass 12.0 kg. The coefficient of kinetic friction between block B and the horizontal surface is 0.25. (a) What is the mass of block C if...

Two springs, with force constants k1 = 150 N/m and k2 = 250 N/m, are connected in series, as shown in FIGURE 6-38. When a mass m = 0.90 kg is attached to the springs, what is the amount of stretch,...

A shaft is drilled from the surface to the center of the earth (Fig. 12.25). As in Example 12.10 (Section 12.6), make the unrealistic assumption that the density of the earth is uniform. With this...

A cube has sides of length L = 0.300 m. It is placed with one comer at the origin as shown in Fig. The electric field is not uniform but is given by E = (-5.00 N/C .m) xi + (3.00 N/C .m) zk. (a) Find...

Two cars approach a street corner at right angles to each other (Fig.3-41). Car 1 travels at a speed relative to Earth vIE = 35km/h, and car 2 at v2E = 55km/h. What is the relative velocity of car 1...

Figure shows a small light bulb suspended at distance d1 = 250 cm above the surface of the water in a swimming pool where the water depth is d2 = 200 cm. The bottom of the pool is a large mirror. How...

A loaded elevator with very worn cables has a total mass of 2200 kg, and the cables can withstand a maximum tension of 28,000 N. (a) Draw the free-body force diagram for the elevator. In terms of the...

A 330-kg piano slide 3.6m down a 28o incline and is kept from accelerating by a man who is pushing back on it parallel to the incline (Fig. 6-36). The effective coefficient of kinetic friction is...

A uniform meter stick with a mass of 180 g is supported horizontally by two vertical strings, one at the 0-cm mark and the other at the 90-cm mark (Fig 9-57). What is the tension in the string? (a)...

Inside a NASA test vehicle, a 3.50-kg ball is pulled along by a horizontal ideal spring fixed to a friction-free table. The force constant of the spring is 225 N/m. The vehicle bas a steady...

In the following three arrangements each resistor has the same resistance R. Rank the equivalent resistances of the arrangements in descending order (largest first). (a) A, B, C (b) B, A, C (c) B, C,...

A 0.100-A current is charging a capacitor that has square plates 5.00 cm on each side. The plate separation is 4.00 mm. Find (a) The time rate of change of electric flux between the plates and (b)...

An electron (mass = 9.11 X 10-31 kg) leaves one end of a TV picture tube with zero initial speed and travels in a straight line to the accelerating grid, which is 1.80 cm away. It reaches the grid...

When cars are equipped with flexible bumpers, they will bounce off each other during low-speed collisions, thus causing less damage. In one such accident, a 1750-kg car traveling to the right at...

Before going in for his annual physical, a 70.0-kg man whose body temperature is 37.0C consumes an entire 0.355-L can of a soft drink (mostly water) at 12.0C. (a) What will his body temperature be...

A 25-g bullet strikes and becomes embedded in a 1.35-kg block of wood placed on a horizontal surface just in front of the gun. If the coefficient of kinetic friction between the block and the surface...

A block of mass m1 = 3.70 kg on a frictionless plane inclined at angle = 30.0o is connected by a cord over a mass less, frictionless pulley to a second block of mass m2 = 2.30 kg (Figure). What are?...

A 2100 kg truck traveling north at 41 km/h turns east and accelerates to 51 km/h. (a) What is the change in the truck's kinetic energy? What are the (b) Magnitude and (c) Direction of the change in...

1. A cart on wheels weighs 2400 N. The coefficient of rolling friction between the wheels and floor is 0.16. What force is needed to keep the cart rolling uniformly? 2. A wooden crate weighs 780 lb....

The following measurements were made on a Thyrite resistor: (a) Graph V ab as a function of I. (b) Does Thyrite obey Ohm's law? How can you tell? (c) Graph the resistance R = Vab/I as a function of...

A magnifying glass with a focal length of 8.5 cm is used to read print placed at a distance of 7.5 cm. calculate (a) The position of the image; (b) The angular magnification.

Cohesive energy of free electron Fermi gas, we define the dimensionless length r 1 , as r 0 /a H , where r 0 is the radius of a sphere that contains one electron, and a H is the bohr radius h 2 /e 2...

Figure shows a 0.300 kg baseball just before and just after it collides with a bat. Just before, the ball has velocity v1 of magnitude 12.0 m/s and angle ?1 = 35.0o. Just after, it is traveling...

A wire 30.0 cm long is held parallel to and 80.0 cm above a long wire carrying 200 A and resting on the floor (Fig. P31.70). The 30.0-cm wire is released and falls, remaining parallel with the...

An alpha particle (a He nucleus, containing two protons and two neutrons and having a mass of 6.64 X 10-27 kg) traveling horizontally at 35.6 km/s enters a uniform, vertical, 1.10-T magnetic field....

A car salesman claims that a souped-up 300-hp engine is a necessary option in a compact car, in place of the conventional 130-hp engine. Suppose you intend to drive the car within speed limits ((65...

Using astronomical data from Appendix F, along with the fact that the earth spins on its axis once per day, calculate (a) The earth's orbital angular speed (in rad/s) due to its motion around the...

A target in a shooting gallery consists of a vertical square wooden board, 0.250 m on a side and with mass 0.750 kg that pivots on a horizontal axis along its top edge. The board is struck face-on at...

A conducting rod of length moves on two horizontal, frictionless rails, as shown in Figure P31.20. If a constant force of 1.00 N moves the bar at 2.00 m/s through a magnetic field B that is directed...

A uniform drawbridge 8.00 m long is attached to the roadway by a frictionless hinge at one end, and it can be raised by a cable attached to the other end. The bridge is at rest, suspended at 60.0...

The drawing shows an adiabatically isolated cylinder that is divided initially into two identical parts by an adiabatic partition. Both sides contain one mole of a monatomic ideal gas ( = 5/3), with...

In Figure P23.15, determine the point (other than infinity) at which the electric field is zero. 1.00 m -2.50 : 6.00 C

(a) Show that the kinetic energy K and the momentum magnitude p of a particle with mass m are related by K = p2/2m. (b) A 0.040-kg cardinal (Richmondena cardinalis) and a 0.145-kg baseball have the...

A + 35 C point charge is placed 32 cm from an identical + 35 C charge. How much work would be required to move a + 0.50C test charge from a point midway between them to a point 12cm closer to either...

Force on a Current Loop in a Nonuniform Magnetic Field, It was shown in Section 21.7 that the net force on a cur rent loop in a uniform magnetic field is zero. But what if B is not uniform Figure...

One type of capillary-tube viscometer is shown in Fig.?PI.41. For this device the liquid to be tested is drawn into the tube to a level above the top etched line. The time is then obtained for the...

In Figure a 10 kg sphere is supported on a frictionless plane inclined at angle = 45? from the horizontal. Angle is 25. Calculate the tension in the cable. Cable-

A uniform layer of water (n = 1.33) lies on a glass plate (n = 1.52). Light shines perpendicularly on the layer. Because of constructive interference, the layer looks maximally bright when the...

The human brain and spinal cord are immersed in the cerebrospinal fluid. The fluid is normally continuous between the cranial and spinal cavities. It normally exerts a pressure of 100 to 200 mm of...

Sand from a stationary hopper falls onto a moving conveyor belt at the rate of 5.00 kg/s as in Figure P9.72 The conveyor belt is supported by frictionless rollers and moves at a constant speed of...

Figure shows a ring of outer radius R = 13.0 cm, inner radius r = 0.200R, and uniform surface charge density = 6.20pC/m2. With V - 0 at infinity, find the electric potential at point P on the...

Consider the CuAu crystal structure. It can b e described as a simple cubic lattice with a basis of Cu (0, 0, 0), Cu (1/2, 1/2, 0), Au (1/2, 0, 1/2), and Au (0, 1/2, 1/2). (a) How many atoms of each...

A crane of mass 3 000 kg supports a load of 10 000 kg as in Figure P12.47, the crane is pivoted with a frictionless pin at A and rests against a smooth support at B. Find the reaction forces at A and...

Three forces are applied to a wheel of radius 0.350 m, as shown in Fig. 10.40. One force is perpendicular to the rim, one is tangent to it, and the other one makes a 40.00 angle with the radius. What...

An object is undergoing SHM with period 0.300 s and amplitude 6.00 cm. At t = 0 the object is instantaneously at rest at x = 6.00 cm. Calculate the time it takes the object to go from x = 6.00 cm to...

Two point charges q1 and q2 are held in place 4.50 cm apart. Another point charge Q = -1.75µC of mass 5.00 g is initially located 3.00 cm from each of these charges (Fig. 21.45) and released...

A hammer thrower accelerates the hammer (mass = 7.30kg) from rest within four full turns (revolution) and releases it at a speed of 28.0m/s. Assuming a uniform rate of increase in angular velocity...

A car is traveling at 50.0 mi/h on a horizontal highway. (a) If the coefficient of static friction between road and tires on a rainy day is 0.100, what is the minimum distance in which the car will...

Two blocks, each of mass M, are connected by an extension less, uniform string of length l. One block is placed on a smooth horizontal surface, and the other block hangs over the side, the string...

Figure is a section of a conducting rod of radius R 1? = 1.30 mm and length L = 11.00 m inside a thin-walled coaxial conducting cylindrical shell of radius R 2 = 10.0R 1 and the (same) length L. The...

A 0.142-kg baseball has a terminal speed of 42.5 m/s (95 mi/h). (a) If a baseball experiences a drag force of magnitude R = Cv2, what is the value of the constant C? (b) What is the magnitude of the...

A screen is placed 50.0 cm from a single slit, which is illuminated with 690-nm light. If the distance between the first and third minima in the diffraction pattern is 3.00 mm, what is the width of...

Figure 3.26 shows the first five peaks of the x-ray diffraction pattern for tungsten (W), which has a BCC crystal structure; monochromatic x-radiation having a wavelength of 0.1542 nm was used. (a)...

Two conducting spheres with diameters of 0.400 m and 1.00 m are separated by a distance that is large compared with the diameters. The spheres are connected by a thin wire and are charged to 7.00 %C....

A ball is thrown straight up from the edge of the roof of a building. A second ball is dropped from the roof 1.00 s later. You may ignore air resistance. (a) If the height of the building is 20.0 m,...

Figure shows three circular arcs centered on the origin of a coordinate system. On each arc, the uniformly distributed charge is given in terms of Q = 2.00?C. The radii are given in terms of R = 10.0...

A 12.0-kg bucket is lowered vertically by a rope in which there is 163 N of tension at a given instant. What is the acceleration of the bucket? Is it up or down?

A point charge (m = 1.0g) at the end of an insulating string of length 55cm is observed to be in equilibrium in a uniform horizontal electric field of 12,000N/C, when the pendulums position is as...

In Figure two isotropic point sources S1 and S2 emit light in phase at wavelength A and at the same amplitude. The sources are separated by distance 2d = 6.00. They lie on an axis that is parallel to...

A model of a helicopter rotor has four blades, each 3.40 m long from the central shaft to the blade tip. The model is rotated in a wind tunnel at 550 rev/min (a) What is the linear speed of the blade...

Concentric Spherical Shells A small conducting spherical shell with inner radius a and outer radius b is concentric with a larger conducting spherical shell with inner radius c and outer radius d...

A 25.0- bulb is connected across the terminals of a 12.0-V battery having 3.50 of internal resistance. What percentage of the power of the battery is dissipated across the internal resistance and...

Two concentric metal spherical shells, of radius a and b, respectively, are separated by weakly conducting material of conductivity (Fig. 7.4a).? (a) If they are maintained at a potential difference...

In Figure what is the net electric potential at the origin due to the circular arc of charge Q1 = + 7.21pC and the two particles of charges Q2 = 4.00Q1 and Q3 = ?? 2.00Q1? The arc's center of...

A crate of mass 10.0 kg is pulled up a rough incline with an initial speed of 1.50 m/s. The pulling force is 100 N parallel to the incline, which makes an angle of 20.0 with the horizontal. The...

A square object of mass m is constructed of four identical uniform thin sticks, each of length L, attached together. This object is hung on a hook at its upper comer (Fig. 13.37). If it is rotated...

A symmetric, double-convex, thin lens made of glass with index of refraction 1.52 has a focal length in air of 40.0cm. The lens is sealed into an opening in the left-hand end of a tank filled with...

A particle moves in the xy-plane. Its coordinates are given as functions of time by x(t) = R (wt sin wt) y(t) = R (1 cos wt) where Rand", are constants. (a) Sketch the trajectory of the particle....

Positive charge Q is distributed uniformly along the x-axis from x = 0 to x = a. A positive point charge q is located on the positive x-axis at x = a + r, a distance, to the right of the end of Q...

An old oaken bucket of mass 6.75 kg hangs in a well at the end of a rope. The rope passes over a frictionless pulley at the top of the well, and you pull horizontally on the end of the rope to raise...

(a) What angle in radians is subtended by an arc 1.50 m long on the circumference of a circle of radius 2.50 m? What is this angle in degrees? (b) An arc 14.0 cm long on the circumference of a circle...

A 25-g glass tumbler contains 200 mL of water at 24oC. If two 15-g ice cubes each at a temperature of 3oC are dropped into the tumbler, what is the final temperature of the drink? Neglect thermal...

A plane truss is subjected to loads 2P and P at joints B and C, respectively, as shown in the figure part (a). The truss bars are made of two L102 Ã 76 Ã 6.4 steel angles [see Table...