Positive charge Q is distributed uniformly over each of two spherical volumes with radius R. One sphere of charge is centered at the origin and the other at x = 2R (Fig. 22.44). Find the magnitude...
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...
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...
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...
A uniform spherical shell of mass M = 4.5 kg and radius R = 8.5 cm can rotate about a vertical axis on frictionless bearings (Figure). A massless cord passes around the equator of the shell, over a...
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...
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
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...
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...
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 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 cylinder contains 0.100 mol of an ideal monatomic gas. Initially the gas is at a pressure of 1.00 X 105 Pa and occupies a volume of 2.50 X 10-3 m3. (a) Find the initial temperature of the gas in...
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.
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...
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+...
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)...
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 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...
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 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)...
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...
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...
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.
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...
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 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 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...
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 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...
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 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...
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....
Two blocks of unequal mass are connected by a string over a smooth pulley (Figure 2-B). If the coefficient of kinetic friction is μv what angle θ of the incline allows the masses to move at...
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...
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...
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 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...
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....
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...
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 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?...
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...
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) 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...
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
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 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-
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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 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...
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?
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 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...
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...
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...
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,...
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...
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...
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...
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 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 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...
(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 5.00-kg partridge is suspended from a pear tree by an ideal spring of negligible mass. When the partridge is pulled down 0.100 m below its equilibrium position and released, it vibrates with a...
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-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 uniformly charged thin ring has radius 15.0 cm and total charge +24.0 nC. An electron is placed on the ring's axis a distance 30.0 cm from the center of the ring and is constrained to stay on the...
Consider a sine wave traveling down the stretched two-part cord of Fig. 11-33. Determine a formula (a) For the ratio of the speeds of the wave in the heavy section versus that in the lighter section,...
(a) What is the potential difference between points a and d in Fig. 19-45 (same circuit as Fig. 19-13, Example 19-8), (b) What is the terminal voltage of each battery? 30 r= 62= 45 40 ww.gl - 80...
A 30-turn circular coil of radius 4.00 cm and resistance 1.00 is placed in a magnetic field directed perpendicular to the plane of the coil. The magnitude of the magnetic field varies in time...
(a) A luggage carousel at an airport has the form of a section of a large cone, steadily rotating about its vertical axis. Its metallic surface slopes downward toward the outside, making an angle of...
A spool of thread consists of a cylinder of radius R1 with end caps of radius R2 as in the end view shown in Figure P10.90. The mass of the spool, including the thread, is m and its moment of inertia...
In the arrangement shown in Figure P18.21, an object can be hung from a string (with linear mass density μ = 0.002 00 kg/m) that passes over a light pulley. The string is connected to a vibrator...
Three astronauts, propelled by jet backpacks, push and guide a 120 kg asteroid toward a processing dock, exerting the forces shown in Figure, with F1 = 32N, F2 = 55N, F3 = 41N, 1 = 30o, and 3 = 60o....
A particle starts from the origin at t = 0 and moves along the positive x axis. A graph of the velocity of the particle as a function of the time is shown in Figure; the v-axis scale is set by vs =...
A plastic bar ACB having two different solid circular cross sections is held between rigid supports as shown in the figure. The diameters in the left- and right-hand parts are 50 mm and 75 mm,...
Leg Presses. As part of your daily workout, you lie on your back and push with your feet against a platform attached to two stiff springs arranged side by side so that they are parallel to each...
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...
Weightiess Ant. An ant with mass m is standing peacefully on top of a horizontal. stretched rope. The rope has mass per unit length and is under tension F. Without warning, Cousin Throckmorton...
During a test dive in 1939, prior to being accepted by the U.S. Navy, the submarine Squalus sank at a point where the depth of water was 73.0 m. The temperature at the surface was27.0oC, and at the...
A Carnot engine whose high-temperature reservoir is at 620 K takes in 550 J of heat at this temperature in each cycle and gives up 335 J to the low-temperature reservoir. (a) How much mechanical work...
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 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 cyclist intends to cycle up a 7.8o hill whose vertical height is 150m. Assuming the mass of bicycle plus cyclist is 75kg, (a) Calculate how much work must be done against gravity. (b) If each...
A fire helicopter carries a 620-kg bucket at the end of a cable 20.0 m long as in Figure P6.36. As the helicopter flies to a fire at a constant speed of 40.0 m/s, the cable makes an angle of 40.0...
In Figure a car is driven at constant speed over a circular hill and then into a circular valley with the same radius. At the top of the hill, the normal force on the driver from the car seat is 0....
The water in a river flows uniformly at a constant speed of 2.50 m/s between parallel banks 80.0 m apart. You are to deliver a package directly across the river, but you can swim only at 1.50 m/s....
A thin film of oil (n = 1.25) is located on a smooth wet pavement. When viewed perpendicular to the pavement, the film reflects most strongly red light at 640 nm and reflects no blue light at 512 nm....