A rectangular loop of area A is placed in a region where the magnetic field is perpendicular to the plane of the loop. The magnitude of the field is allowed to vary in time according to B =...

A vacuum tube diode (see Exercise 23.27) consists of concentric cylindrical electrodes, the negative cathode and the positive anode. Because of the accumulation of charge near the cathode, the...

Figure shows a particle A that can be moved along a y axis from an infinite distance to the origin. That origin lies at the midpoint between particles B and C, which have identical masses, and the y...

A rigid bar of weight W = 800 N hangs from three equally spaced vertical wires (length L = 150 mm, spacing a = 50 mm): two of steel and one of aluminum. The wires also support a load P acting on the...

The ball B has a weight of 5 lb and is originally rotating in a circle. As shown, the cord AB has a length of 3 ft and passes through the hole A, which is 2 ft above the plane of motion. If 1.5 ft of...

Two square reflectors, each 1.50 cm on a side and of mass 4.00 g, are located at opposite ends of a thin, extremely light, 1.00-m rod that can rotate without friction and in a vacuum about an axle...

Zoom Lens Consider the simple model of the zoom lens shown in Fig. 34.43a The converging lens has focal length f1, = 12cm, and the diverging lens has focal length f1 = - 12cm. The lenses are...

A tall, cylindrical chimney falls over when its base is ruptured. Treat the chimney as a thin rod of length 55.0 m. At the instant it makes an angle of 35.0

In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression x = (5.00 cm) cos (2t + /6) where x is in centimeters and t is in seconds. At t =...

A large block P executes horizontal simple harmonic motion as it slides across a frictionless surface with a frequency f = 1.50 Hz. Block B rests on it, as shown in Figure P15.53, and the coefficient...

At the equator, near the surface of the Earth, the magnetic field is approximately 50.0 +T northward, and the electric field is about 100 N/C downward in fair weather. Find the gravitational,...

Halleys Comet orbits the Sun roughly once every 76 years. It comes very close to the surface of the Sun on its closest approach (Fig. 5-39). Estimate the greatest distance of the comet from the Sun....

Two identical hard spheres, each of mass m and radius r, are released from rest in otherwise empty space with their centers separated by the distance R. They are allowed to collide under the...

During an action potential, Na+ ions move into the cell at a rate of about 3 X 10-7 mol/m2 s. How much power must be produced by the active Na+ pumping system to produce this flow against a+ 30-mV...

A toy chest and its contents have a combined weight of 180N. The coefficient of static friction between toy chest and floor is 0.42.The child in Figure attempts to move the chest across the floor by...

A tennis player receives a shot with the ball (0.060 0 kg) traveling horizontally at 50.0 m/s and returns the shot with the ball traveling horizontally at 40.0 m/s in the opposite direction. (a) What...

Brake or turn? Figure 6-45 depicts an overhead view of a car's path as the car travels toward a wall. Assume that the driver begins to brake the car when the distance to the wall is d = 107 m, and...

A particle of mass m moves in a potential given by V (r) = rk. Let the angular momentum be L. (a) Find the radius, r0, of a circular orbit. (b) If the particle is given a tiny kick so that the radius...

Two slits are separated by 0.180 mm. An interference pattern is formed on a screen 80.0 cm away by 656.3-nm light. Calculate the fraction of the maximum intensity 0.600 cm above the central maximum.

A door 2.30 m high an 1.30 m wide has a mass of 13.0kg. A hinge 0.40m from the top and another hinge 0.40 m from the bottom each support half the doors weight (Fig. 9-59). Assume that the center of...

A series of parallel linear water wave fronts are traveling directly toward the shore at 15.0 cm/s on an otherwise placid lake. A long concrete barrier that runs parallel to the shore at a distance...

A beam of light of a single wavelength is incident perpendicularly on a double-slit arrangement, as in Figure. The slit widths are each 46m and the slit separation is 0.30 mm. How many complete...

If the coefficient of static friction between your coffee cup and the horizontal dashboard of your car is s = 0.800, how fast can you drive on a horizontal roadway around a right turn of radius 30.0...

A toroidal solenoid (see Example 28.10) has inner radius r1 = 15.0 cm and outer radius r2 = 18.0 cm. The solenoid has 250 turns and carries a current of 8.50 A. What is the magnitude of the magnetic...

In SI units, the electric field in an electromagnetic wave is described by Ey = 100 sin (1.00 x 107 x wt). Find (a) The amplitude of the corresponding magnetic field oscillations, (b) The wavelength...

A small marble rolls horizontally with speed Vo off the top of a platform 2.75 m tall and feels no appreciable air resistance. On the level ground, 2.00 m from the base of the platform, there is a...

Three 100-Ω resistors are connected as shown in Figure P28.11. The maximum power that can safely be delivered to any one resistor is 25.0 W. (a) What is the maximum voltage that can be applied...

World-class sprinters can accelerate out of the starting blocks with an acceleration that is nearly horizontal and has magnitude 15 m/s2. How much horizontal force must a 55-kg sprinter exert on the...

Two circular rods, one steel and the other copper, are joined end to end. Each rod is 0.750 m long and 1.50 cm in diameter. The combination is subjected to a tensile force with magnitude 4000 N. For...

A small solid ball is released from rest while fully submerged in a liquid and then its kinetic energy is measured when it has moved 4.0 cm in the liquid. Figure gives the results after many liquids...

A disk of radius R rolls without slipping inside the parabola y = ax2. Find the equation of constraint. Express the condition that allows the disk to roll so that I contact the parabola at one and...

Three children, each of weight 356 N make a log raft by lashing together logs of diameter 0.30 m and length 1.80 m. How many logs will be needed to keep them afloat in fresh water? Take the density...

A conductor suspended by two flexible wires as shown in Figure P29.14 has a mass per unit length of 0.040 0 kg/m. What current must exist in the conductor in order for the tension in the supporting...

Two cars, A and B, travel in a straight line. The distance of A from the starting point is given as a function of time by >At) = at + pt, with a = 2.60 m/s and p = 1.20 m/s. The distance of B from...

A cylindrical conductor with a circular cross section bas a radius a and a resistivity p and carries a constant current. (a) What arc the magnitude and direction of the electric-field vector E at a...

A Magnetic Exercise Machine you have designed a new type of exercise machine with an extremely simple mechanism (Fig. 29.36). A vertical bar of silver (chosen for its low resistivity and because it...

The average coefficient of volume expansion for carbon tetrachloride is 5.81 X 10-4 (C)-1. If a 50.0-gal steel container is filled completely with carbon tetrachloride when the temperature is 10.0C,...

A toy cannon uses a spring to project a 5.30-g soft rubber ball. The spring is originally compressed by 5.00 cm and has a force constant of 8.00 N/m. When the cannon is fired the ball moves 15.0 cm...

Protons are projected with an initial speed vi = 9.55 x 103 m/s into a region where a uniform electric field E = -720j N/C is present, as shown in Figure P23.49. The protons are to hit a target that...

A barrel contains a 0.120-m layer of oil floating on water that is 0.250 m deep. The density of the oil is 600 kg/m. (a) What is the gauge pressure at the oil-water interface? (b) What is the gauge...

Jean camps beside a wide river and wonders how wide it is, She spots a large rock on the bank directly across from her. She then walks upstream until she judges that the angle between her and the...

A bottle has a mass of 35.00g when empty and 98.44g when filled with water. When filled with another fluid, the mass is 88.78g. What is the specific gravity of this other fluid?

Two blocks with masses 4.00 kg and 8.00 kg are connected by a string and slide down a 30.0 inclined plane (Fig. 5.74). The coefficient of kinetic friction between the 4.0Q.kg block and the plane is...

Three positive particles of equal charge, + 11.0μC, are located at the corners of an equilateral triangle of side 15.0cm (Fig. 16-50). Calculate the magnitude and direction of the net force on...

Figure shows a section of a cable-car system. The maximum permissible mass of each car with occupants is 2800 kg. The cars, riding on a support cable, are pulled by a second cable attached to the...

A230 kg crate hangs from the end of a rope of length L = 12.0 m. You push horizontally on the crate with a varying force F to move it distance d = 4.00 m to the side (Figure). (a) What is the...

In Figure two tiny conducting balls of identical mass m and identical charge q hang from non-conducting threads of length L. Assume that is so small that tan can be replaced by its approximate...

Compute the order of magnitude of the mass of a bathtub half full of water. Compute the order of magnitude of the mass of a bathtub half full of pennies. In your solution list the quantities you take...

A Honda Civic travels in a straight line along a road. Its distance x from a stop sign is given as a function of time t by the equation x (t} = at2 - pt', where a = 1.50m/S2 and p = 0.0500 m/s'....

Consider the glider of Example 7.7 (Section 7.2) and Fig. 7.16. As in the example, the glider is released from rest with the spring stretched 0.100 m. What is the displacement x of the glider from...

Waves on a Stick a flexible stick 2.0 m long is not fixed in any way and is free to vibrate. Make clear drawings of this stick vibrating in its first three harmonics, and then use your drawings to...

Ferrari with a mass of 1400 kg approaches a freeway underpass that is 10m across. At what speed must the car be moving, in order for it to have wavelength such that it might somehow diffract after...

An aluminum ring of radius 5.00 cm and resistance 3.00 x 10-4 Ω is placed on top of a long air-core solenoid with 1 000 turns per meter and radius 3.00 cm, as shown in Figure P31.7. Over the...

A thin, taut string tied at both ends and oscillating in its third harmonic has its shape described by the equation y(x, t) = (S.60 cm) sin [(0.0340 rad/cm) x] sin [(50.0rad/s) t], where the origin...

(a) If the resistance of the resistor in Fig. 21-48 is slowly increased, what is the direction of the current induced in the small circular loop inside the larger loop? (b) What would it be if the...

(a) Find the excitation energy from the ground level to the third excited level for an electron confined to a box that has a width of 0.125 nm. (b) The electron makes a transition from the n = 1 to n...

In Figure, a cylinder having a mass of 2.0 kg can rotate about its central axis through point O. Forces are applied as shown: F1 = 6.0 N, F2 = 4.0 N, F3 = 2.0 N, and F4 = 5.0 N. Also, r = 5.0 cm and...

Underwater illusion one clue used by your brain to determine the direction of a source of sound is the time delay ?t between the arrival of the sound at the ear closer to the source and the arrival...

In an insulated vessel, 250 g of ice at 0C is added to 600 g of water at 18.0C. (a) What is the final temperature of the system? (b) How much ice remains when the system reaches equilibrium?

What is the momentum of a proton traveling at v = 0.85c?

(a) In Figure what does the ammeter read if ? = 5.0 V (ideal battery), R 1 = 2.0?, R 2 = 4.0?, and R 3 = 6.0?? (b) The ammeter and battery are now interchanged. Show that the ammeter reading is...

Consider a fictitious one-dimensional system with one electron. The wave function for the electron, drawn at the top of the next page, is Ï(x) = sin x from x = 0 to x = 2Ï. (a) Sketch the...

Attention! About face! Compute an order-of-magnitude estimate for the moment of inertia of your body as you stand tall and turn about a vertical axis through the top of your head and the point...

You are asked to design spring bumpers for the walls of a parking garage. A freely rolling 1200-kg car moving at 0.65 m/s is to compress the spring no more than 0.070 m before stopping. What should...

A 5.00-pF, parallel-plate, air-filled capacitor with circular plates is to be used in a circuit in which it will be subjected to potentials of up to 1.00 X 102 V. The electric field between the...

An 88-g arrow is fired from a bow whose string exerts an average force of 110N on the arrow over a distance of 78cm. What is the speed of the arrow as it leaves the bow?

A 1.5-V dry cell can be tested by connecting it to a low-resistance ammeter. It should be able to supply at least 22 A. what is the internal resistance of the cell in this case, assuming it is much...

Two plane mirrors face each other 2.0m apart as in Fig. 23-53. You stand 1.5m away from one of these mirrors and look into it. You will see multiple images of yourself. (a) How far away from you are...

If 1 cup of cream having a density of 1005 kg/m 3 is turned into 3 cups of whipped cream, determine the specific gravity and specific weight of the whipped cream.

A block of mass m = 2.0 kg is dropped from height h = 40 cm onto a spring of spring constant k = 1960 N/m (Figure). Find the maximum distance the spring is compressed. peced ll

What is the apparent weight of a 75-kg astronaut 4200km from the center of the Earths Moon in a space vehicle? (a) Moving at constant velocity, and (b) Accelerating toward the Moon at 2.9m/s2? State...

Light of wavelength 480nm in air falls on two slits 6.00 x 10-2, apart. The slits are immersed in water, as is a viewing screen 40.0cm away. How far apart are the fringes on the screen?

What is the index of refraction of a clear material if a minimum of 150 nm thickness of it, when laid on glass, is needed to reduce reflection to nearly zero when light of 600nm is incident normally...

A student with mass 45 kg jumps off a high diving board. Using 6.0 X l024 kg for the mass of the earth, what is the acceleration of the earth toward her as she accelerates toward the earth with an...

What fraction of the total kinetic energy is rotational for the following objects rolling without slipping on a horizontal surface? (a) A uniform solid cylinder; (b) A uniform sphere; (c) A...

Your starship, the Aimless Wanderer, lands on the mysterious planet Mongo. As chief scientist-engineer, you make the following measurements: A 2.50-kg stone thrown upward from the ground at 12.0 m/s...

A bar of mass m, length d, and resistance R slides without friction in a horizontal plane, moving on parallel rails as shown in Figure P31.52. A battery that maintains a constant emf Є is...

The y- and z-axes, respectively, carry filamentary currents 10 A along ay and 20 A along az. Find H at ( 3, 4, 5).

A food particle from your breakfast takes a circuitous path through your digestive system. Suppose its motion over a period of time can be represented by the four displacement vectors depicted in...

A tuning fork vibrating at 512 Hz falls from rest and accelerates at 9.80 m/s2. How far below the point of release is the tuning fork when waves of frequency 485 Hz reach the release point? Take the...

A 1.5 kg box is initially at rest on a horizontal surface n at t = 0 a horizontal force F = (1.8t)i N (with t in seconds) is applied to the box. The acceleration of the box as a function of time t is...

As the people sing in church, the sound level everywhere inside is 101 dB. No sound is transmitted through the massive walls, but all the windows and doors are open on a summer morning. Their total...

The index of refraction of diamond is 2.42. Construct the graph analogous to Fig. 9.16 for the air/diamond interface. (Assume ?1 = ?2 = ?0.) In particular, calculate (a) The amplitudes at normal...

(a) In the circuit in Fig. 4.71, calculate vo and Io when vs = 1 V. (b) Find vo and io when vs = 10 V. (c) What are vo and Io when each of the 1-Ω resistors is replaced by a...

Four identical particles, each having charge +q, are fixed at the corners of a square of side L. A fifth point charge -Q lies a distance z along the line perpendicular to the plane of the square and...

A 3.30-mm-wide beetle is viewed with a 9.50-cm-focal-length lens. A normal eye views the image at its near point. Calculate (a) The angular magnification, (b) The width of the image, and (c) The...

A convex mirror and a concave mirror are placed on the same optic axis, separated by a distance L = 0.600 m. The radius of curvature of each mirror has a magnitude of 0.360 m. A light source is...

A certain particle has a weight of 22 N at a point where g = 9.8 m/s2. What are its (a) Weight and (b) Mass at a point where g = 4.9 m/s2? What are its (c) Weight and (d) Mass if it is moved to a...

To crack a certain nut in a nutcracker, forces with magnitudes of at least 40 N must act on its shell from both sides. For the nutcracker of Figure with distances L = 12 cm and d = 2.6 cm, what are...

A double-slit arrangement produces interference fringes for sodium light ( = 589 nm) that have an angular separation of 3.50 x 10-3 rad. For what wavelength would the angular separation be 10.0%...

Find vo, and io in the circuit of Fig. 3.108. Figure 3.108 50 10 10 44, 100 V (+ 2 A

A contact lens is made of plastic with an index of refraction of 1.50. The lens has an outer radius of curvature of +2.00 cm and an inner radius of curvature of +2.50 cm. What is the focal length of...

How many kernels of corn does it take to fill a 2-L soft drink bottle?

A track meet is held on a planet in a distant solar system. A shot-putter releases a shot at a point 2.0 m above ground level. A stroboscopic plot of the position of the shot is shown in Figure,...

The flywheel of an engine has moment of inertia 2.50 kg m2 about its rotation axis. What constant torque is required to bring it up to an angular speed of 400 rev/min in 8.00 S, starting from rest?

Three students derive the derive the following equations in which x refers to distance traveled, v the speed, a the acceleration (m/s2), and t the time, and the subscript (0) means a quantity at time...

If the apex angle of a prism is θ = 72o (see Fig. 23-56), what is the minimum incident angle for a ray if it is to emerge from the opposite side (i.e., not be totally internally reflected),...

A 40 kg girl and an 8.4 kg sled are on the frictionless ice of a frozen lake, 15 m apart but connected by u rope of negligible mass. The girl exerts a horizontal 5.2N force on the rope. What are the...

Explain how the tube in Fig. 10-45, known as a siphon, can transfer liquid from one container to a lower one ever though the liquid must flow uphill for part of its journey.

(a) What is the angular momentum of a 2.8-kg uniform cylindrical grinding wheel of radius 18cm when rotating at 1500 rpm? (b) How much torque is required to stop it in 6.0s?