You have two identical capacitors and an external potential source. (a) Compare the total energy stored in the capacitors when they are connected to the applied potential in series and in parallel....
Three point charges are located at the corners of an equilateral triangle as shown in Figure P23.7. Calculate the resultant electric force on the 7.00-μC charge. 7.00 uC 0.50 m 60 2.00
A person bending forward to lift a load with his back (Fig P12.51a) rather than with his knees can be injured by large forces exerted on the muscles and vertebrae, the spine pivots mainly at the...
A distortionless line operating at 120 MHz has R = 20 /m, L = 0.3H/m, and C = 63pF/m. (a) Determine , u, and Zo. (b) How far will a voltage wave travel before it is reduced to 20% of its initial...
The upper deck of a football stadium is supported by braces each of which transfers a load P = 160 kips to the base of a column [see figure part (a)]. A cap plate at the bottom of the brace...
Figure 11-50 shows two examples of SHM. Labeled A and B. For each, what is (a) The amplitude, (b) The frequency, and (c) The period? (d) Write the equations for both A and B in the form of a sine or...
A truck loaded with cannonball watermelons stops suddenly to avoid running over the edge of a washed-out bridge (Fig. P4.64). The quick stop causes a number of melons to fly off the truck. One melon...
The forearm if Fig. 8-45 accelerates a 3.6 kg ball at 7.0 m/s2 by means of the triceps muscle, as shown. Calculate (a) The torque needed, and (b) The force that must be exerted by the triceps muscle....
One application of an RL circuit is the generation of time varying high voltage from a low-voltage source, as shown in Figure P32.26. (a) What is the current in the circuit a long time after the...
The Achilles tendon is attached to the rear of the foot as shown in Fig. 9-66. When a person elevates himself just barely off the floor on the ball of one foot, estimate the tension FT in the...
A beam of Unpolarized sunlight strikes the vertical plastic wall of a water tank at an unknown angle. Some of the light reflects from the wall and enters the water (Fig. 33.60). The refractive index...
A Ferris wheel with radius 14.0 m is turning about a horizontal axis through its center (Fig. 3.42). The linear speed of a passenger on the rim is constant and equal to 7.00 m/s. What are the...
Two long, straight, parallel wires, 10.0 cm apart, carry equal 4.00-A currents in the same direction, as shown in Fig. Find the magnitude and direction of the magnetic field at (a) point P1 midway...
The electric field E in Hg. 22.35 is everywhere parallel to the x-axis, so the components Ey and Ez are zero. The x-component of the field Ex depends on x but not on y and Z. At points in the...
Calculate the current in the circuit of Fig. 19-43 and show that the sum of all voltage changes around the circuit is zero. r= 2.02 ww 9.0 V 8.0 2 12.0 2
Two pendulums have the same dimensions (length L) and total mass (m). Pendulum A is a very small ball swinging at the end of a uniform mass less bar. In pendulum B, half the mass is in the ball and...
Four particles, each of mass 0.20 kg, are placed at the vertices of a square with sides of length 0.50 m. The particles are connected by rods of negligible mass. This rigid body can rotate in a...
(a) Show that one British horsepower (550 ft lb/s) is equal to 746 W. (b) What is the horsepower rating of a 75-W lightbulb?
Table 5-3 gives the mass, period and mean distance for the four largest moons of Jupiter (those discovered by Galileo in 1609). (a) Determine the mass of Jupiter using the data for lo. (b) Determine...
(a) Using the law of cosines, show that Eq. 3.17 can be written as follows where r and are the usual spherical polar coordinates, with the z axis along the line through q. In this form it is obvious...
The upper edge of a gate in a dam runs along the water surface. The gate is 2.00 m high and 4.00 m wide and is hinged along a horizontal line through its center (Fig. 14.36). Calculate the torque...
In Fig. each capacitor has C = 4.00 µF and Vab = +28.0 V. Calculate (a) The charge on each capacitor; (b) The potential difference across each capacitor; (c) The potential difference between...
A 1.50-m-Iong metal bar is pulled to the right at a steady 5.0 m/s perpendicular to a uniform, 0.750-T magnetic field. The bar rides on parallel metal rails connected through a 25.0-n resistor, as...
A thin, uniform 3.80-kg bar, 80.0 cm long, has very small 2.50-kg balls glued on at either end (Fig. 10.52). It is supported horizontally by a thin, horizontal, frictionless axle passing through its...
Figure 2.34 shows the velocity of a solar-powered car as a function of time. The driver accelerates from a stop sign, cruises for 20 s at a constant speed of 60 km/h, and then brakes to come to a...
In Fig. 30.11, suppose that = 60.0 V, R = 240 and L = 0.160 H. Initially there is no current in the circuit. Switch S2 is left open, and switch S1 is closed. (a) Just after S1 is closed, what are the...
(a) Consider a uniformly charged thin-walled right circular cylindrical shell having total charge Q, radius R, and height h. Determine the electric field at a point a distance d from the right side...
How much energy is required to change a 40.0-g ice cube from ice at -10.0C to steam at 110C?
Coaxial cable. A solid conductor with radius a is supported by insulating disks on the axis of a conducting tube with inner radius b and outer radius c (Fig). The central conductor and tube carry...
A golf course sprinkler system discharges water from a horizontal pipe at the rate of 7200 cm'/s. At one point in the pipe, where the radius is 4.00 cm, the water's absolute pressure is 240 X 10' Pa....
Three sleds are being pulled horizontally on frictionless horizontal ice using horizontal ropes (Fig. 5.50). The pull is horizontal and of magnitude 125 N. Find (a) The acceleration of the system and...
The Tolman-Stewart experiment in 1916 demonstrated that the free charges in a metal have negative charge and provided a quantitative measurement of their charge-w-mass ratio, |q|/m. The experiment...
Positive point charges q = +8.00 μC and q' = +3.00 μC are moving relative to an observer at point p. as shown in Fig. The distance d is 0.120 m. u = 4.50 X 106 m/s. and u' = 9.00 X 106 m/s. (a)...
A Carnot device extracts 5.00 kJ of heat from a body at -10.0C. How much work is done if the device exhausts heat into the environment at? (a) 25.0C; (b) 0.0C; (c) - 25.0C; in each case, is the...
A long wire carrying 4.50 A of current makes two 90o bends, as shown in Fig. The bent part of the wire passes through a uniform 0.240-T magnetic field directed as shown in the figure and confined to...
Figure shows a stationary arrangement of two crayon boxes and three cords. Box A has a mass of 11.0 kg and is on a ramp at angle = 30.0?; box B has a mass of 7.00 kg and hangs on a cord. The cord...
A ball moves in a straight line (the x-axis). The graph in Fig. 2.33 shows this ball's velocity as a function of time. (a) What are the ball's average speed and average velocity during the first 3.0...
In Fig. 29.23 the capacitor plates have area 5.00 cm2 and separation 2.00 mm. The plates are in vacuum. The charging current ic has a constant value of 1.80mA. At t = 0 the charge on the plates is...
(a) Calculate the magnitude of the angular momentum of the earth in a circular omit around the sun. Is it reasonable to model it as a particle? (b) Calculate the magnitude of the angular momentum of...
In Figure a climber with a weight of 533.8 N is held by a belay rope connected to her climbing harness and belay device; the force of the rope on her has a line of action through her center of mass....
You open a restaurant and hope to entice customers by hanging out a sign (Fig. 11.37). The uniform horizontal beam supporting the sign is 1.50 m long, has a mass of 18.0 kg, and is hinged to the...
The Fastest (and Most Expensive) Car! The table shows test data for the Bugatti Veyron, the fastest car made. The car is moving in a straight line (the x-axis). (a) Make a v.-t graph of this car's...
A proton initially has v = 4.0i 2.0j + 3.0k and then 4 later has v = 2.0i 2.0j + 5.0k (in meters per second). For that 4.0 s, what are? (a) The proton's average acceleration aavg in unit-vector...
Figure shows an overhead view of a 0.0250 kg lemon half and two of the three horizontal forces that act on it as it is on a frictionless table. Force F1 has a magnitude of 6.00 N and is at 1 = 30.0o....
A 350-N, uniform, 1.50-m bar is suspended horizontally by two vertical cables at each end. Cable A can support a maximum tension of 500.0 N without breaking, and cable B can support up to 400.0 N....
(a) Oxygen (02) has a molar mass of 32.0 g/mol what is the average translational kinetic energy of an oxygen molecule at a temperature of 300 K? (b) What is the average value of the square of its...
A horizontal cylindrical tank 2.20 m in diameter is half full of water. The space above the water is filled with a pressurized gas of unknown refractive index. A small laser can move along the curved...
Calculate the moment of inertia of the array of point objects shown in Fig. 8-43 about (a) The vertical axis, and (b) The horizontal axis. Assume m = 1.8 kg. M = 3.1 kg, and the objects are wired...
A projectile is shot from the edge of a cliff 125m above ground level with an initial speed of 65.0m/s at and angle of 37/0o with the horizontal, as shown in Fig. 3-35. (a) Determine the time taken...
A 75.0-kg wrecking ball hangs from a uniform heavy-duty chain having a mass of 26.0 kg. (a) Find the maximum and minimum tension in the chain. (b) What is the tension at a point three fourths of the...
(a) If an area measured on the surface of a solid body is Ao at some initial temperature and then changes by M when the temperature changes by ΔT, show that Where a is the coefficient of linear...
Basilisk lizards can run across the top of a water surface (Figure). With each step, a hzard first slaps its foot against the water and then pushes it down into the water rapidly enough to form an...
A mountain climber wears a goose down jacket 3.5cm thick with total surface area 1.2m2. The temperature at the surface of the clothing is 20oC and at the skin is 34oC. Determine the rate of heat flow...
A 1750-N irregular beam is hanging horizontally by its ends from the ceiling by two vertical wires (A and B), each 1.25 m long and weighing 2.50 N. The center of gravity of this beam is one third of...
Stress on the Shin Bone. Compressive strength of our bones is important in everyday life. Young's modulus for bone is about 1.4 X 10 l0 Pa. Bone can take only about a 1.0% change in its length before...
A 65.0-kg bungee jumper steps off a bridge with a light bungee cord tied to herself and to the bridge (Figure P15.22). The unstretched length of the cord is 11.0 m. She reaches the bottom of her...
You are preparing some apparatus for a visit to a newly discovered planet Caasi having oceans of glycerin and a surface acceleration due to gravity of 4.15 rn/s2. If your apparatus floats in the...
A proton moves at 4.50 x 105 m/s in the horizontal direction. It enters a uniform vertical electric field with a magnitude of 9.60 x 103 N/C. Ignoring any gravitational effects, find (a) The time...
A uniform steel beam has a mass of 940 kg. On it is resting half of an identical beam, as shown in Fig. 9-44. What is the vertical support force at each end? M
How close to the edge of the 20.0-kg table shown in Fig. 9-47 can a 66.0-kg person sit without tipping it over? 2.20 m 0.80 m 1.20 m 0.50 m
A 2.20.kg hoop 1.20 m in diameter is rolling to the right without slipping on a horizontal floor at a steady 3.00 rad/s. (a) How fast is its center moving? (b) What is the total kinetic energy of the...
An ideal spring of negligible mass is 12.00 cm long when nothing is attached to it. When you hang a 3.15-kg weight from it, you measure its length to be 13.40 cm. If you wanted to store 10.0 J of...
A soccer ball with mass 0.420 kg is initially moving with speed 2.00 m/s. A soccer player kicks the ball, exerting a constant force of magnitude 40.0 N in the same direction as the ball's motion....
Figure P14.43 shows a stream of water in steady flow from a kitchen faucet. At the faucet the diameter of the stream is 0.960 cm. The stream fills a 125-cm3 container in 16.3 s. Find the diameter of...
Three negative point charges lie along a line as shown in Fig. 21.40. Find the magnitude and direction of the electric field this combination of charges produces at point P, which lies 6.00 cm. from...
A thin copper bar of length = 10.0 cm is supported horizontally by two (nonmagnetic) contacts. The bar carries current I1 = 100 A in the -x direction, as shown in Figure P30.52. At a distance h =...
A symmetrical framework consisting of three pin-connected bars is loaded by a force P (see figure). The angle between the inclined bars and the horizontal is α = 48°. The axial...
Given the circuit shown in Fig. 19-36, use the words increase, decrease, or stays the same to complete the following statement: (a) If R7 increases, the potential difference between A and E____....
(a) Figure a shows a nonconducting rod of length L = 6.00 cm and uniform linear charge density = +3.68 pC/m. Assume that the electric potential is defined to be V = 0 at infinity. What is V at point...
A 1200-kg car rolling on a horizontal surface has speed v = 65 km/h when it strikes a horizontal coiled spring and is brought to rest in a distance of 2.2m. What is the spring stiffness constant of...
A disk with radius R has uniform surface charge density (a) By regarding the disk as a series of thin concentric rings, calculate the electric potential V at a point on the disk's axis a distance x...
An air capacitor is made from two flat parallel plates 1.50 mm apart. The magnitude of charge on each plate is 0.0180C when the potential difference is 200 V. (a) What is the capacitance? (b) What is...
Find the current through section PQ of length a = 65.0 cm in Figure P31.11. The circuit is located in a magnetic field whose magnitude varies with time according to the expression B = (1.00 x 10-3...
A metal sign for a car dealership is a thin, uniform right triangle with base length b and height h. The sign has mass M. (a) What is the moment of inertia of the sign for rotation about the side of...
An 80.0-m-long brass rod is struck at one end. A person at b the other end hears two sounds as a result of two longitudinal waves, one traveling in the metal rod and the other traveling in the air....
An amusement park ride consists of airplane-shaped cars attached to steel rods (Fig. 11.63). Each rod has a length of 15.0 m and a cross sectional area of 8.00 cm2¢ (a) How much is the rod...
(a) Find the direction of the force on a proton (a positively charged particle) moving through the magnetic fields in figure as shown.(b) Repeat part (a), assuming the moving particle is an electron....
In working out his principle, Pascal showed dramatically how force can be multiplied with fluid pressure. He placed a long, thin tube of radius r = 0.30 cm vertically into a wine barrel of radius R =...
A certain spring is found not to obey Hooke's law; it exerts a restoring force Fx(x) = -ax _1Jx2 if it is stretched or compressed where a - 60.0 N/m and f3 - 18.0 N/m2. The mass of 1he spring is...
An enemy ship is on the east side of a mountain island, as shown in Figure P4.71. The enemy ship has maneuvered to within 2 500 m of the 1 800-m-high mountain peak and can shoot projectiles with an...
A picture window has dimensions of 1.40 m X 2.50 m and is made of glass 5.20 mm thick. On a winter day, the outside temperature is -20.0C, while the inside temperature is a comfortable 19.5C. (a) At...
A 25.0-g bullet strikes a 0.600-kg block attached to a fixed horizontal spring whose spring stiffness constant is 7.70 X 103 N/m. The block is set into vibration with and amplitude of 21.5cm. What...
The three pairs of metal same-size spheres have different charges on their surfaces, as indicated. Each pair is brought together, allowed to touch, and then separated. Rank from greatest to least the...
A wheel of diameter 40.0 cm starts from rest and rotates with a constant angular acceleration of 3.00 rad/s2. At the instant the wheel has computed its second revolution compute the radial...
Figure 6.40 shows the oxygen consumption rate of men walking and running at different speeds. The vertical axis shows the volume of oxygen (in cm3) that a man consumes per kilogram of body mass per...
(a) Calculate the theoretical efficiency for an Otto cycle engine with Y= 1.40 and r = 9.50. (b) If this engine takes in 10,000 J of heat from burning its fuel, how much heat does it discard to the...
A line of positive charge is formed into a semicircle of radius R = 60.0 cm as shown in Figure P23.63. The charge per unit length along the semicircle is described by the expression 3 = 30 cos +. The...
In a lecture demonstration, a professor pulls apart two hemispherical steel shells (diameter D) with ease using their attached handles. She then places them together, pumps out the air to an absolute...
A bowler holds a bowling ball (M = 7.2kg) in the palm of his hand (Figurer). His upper arm is vertical; his lower arm (1.8 kg) is horizontal. What is the magnitude of? (a) The force of the biceps...
The graph in Figure shows the velocity of a motorcycle police officer plotted as a function of time. (a) Find the instantaneous acceleration at t = 3 s, at t = 7 s, and at t = 11 s. (b) How far does...
A uniform 300-N trapdoor in a floor is hinged at one side. Find the net upward force needed to begin to open it and the total force exerted on the door by the hinges (a) If the upward force is...
Steel train rails are laid in 12.0-m-long segments placed end to end. The rails are laid on a winter day when their temperature is - 2.0C. (a) How much space must be left between adjacent rails if...
A slab of insulating material has a non-uniform positive charge density p = Cx2, where x is measured from the center of the slab as shown in Figure P24.71, and C is a constant. The slab is infinite...
Two ice skaters, Daniel (mass 65.0 kg) and Rebecca (mass 45.0 kg), are practicing. Daniel stops to tie his shoelace and, while at rest, is struck by Rebecca, who is moving at 13.0 m/s before she...
A long straight solid cylinder oriented with its axis in the z-direction, carries a current whose current density is 1. The current density, although symmetrical about the cylinder axis, is not...
A 12.0-g wad of sticky clay is hurled horizontally at a 100-g wooden block initially at rest on a horizontal surface. The clay sticks to the block. After impact, the block slides 7.50 m before coming...
Effect of a Window in a Door. A carpenter builds a solid wood door with dimensions 2.00 m X 0.95 m X 5.0 cm. Its thermal conductivity is k = 0.120 W/m K. The air films on the inner and outer surfaces...
A movie stuntwoman drops from a helicopter that is 30.0 m above the ground and moving with a constant velocity whose components are 10.0 m/s upward and 15.0 m/s horizontal and toward the south. You...
(a) The tube of a mercury thermometer has an inside diameter of 0.140mm. The bulb has a volume of 0.255cm3. How far will the thread of mercury move when the temperature changes from 11.5oC to 33.0oC?...
A 20-kg sphere rests between two smooth planes as shown in Fig. 9-85. Determine the magnitude of the force acting on the sphere exerted by each plane. 20 kg 70 30