Convert 35 mi/h to (a) km/h, (b) m/s, and (c) ft/s

A water droplet of radius 0.018 mm remains stationary in the air. If the downward-directed electric field of the Earth is 150N/C, how many excess electron charges must the water droplet have?

An electron starts from rest 32.5 cm from a fixed point charge with Q = - 0.125C. How fast will the electron be moving when it is very far away?

An unstable atomic nucleus of mass 17.0 X 1027 kg initially at rest disintegrates into three particles. One of the particles, of mass 5.00 X 1027 kg, moves along the y axis with a speed of 6.00 X 106...

Calculate the torque (magnitude and direction) about point 0 due to the force F in each of the cases sketched in Fig. 10.37. In each case, the force F and the rod both lie in the plane of the page,...

A firehouse must be able to shoot water to the top of a building 35.0 m tall when aimed straight up. Water enters this hose at a steady rate of 0.500 m'/s and shoots out of a round nozzle. (a) What...

An ice-making machine operates in a Carnot cycle. It takes heat from water at 0.0oC and rejects heat to a room at 24.0oC. Suppose that 85.0 kg of water al 0.0oC are converted to ice at 00oC. (a) How...

Test Stokes' theorem for the function v = (xy) x + (2yz) y + (3zx) z, using the triangular shaded area of Fig. 1.34. N Perso wwwxch 2

In Figure (a) a block of mass m lies on a horizontal frictionless surface and is attached to one end of a horizontal spring (spring constant k) whose other end is fixed. The block is initially at...

Two horizontal metal plates, each 100 mm square, are aligned 10.0 mm apart, with one above the other. They are given equal-magnitude charges of opposite sign so that a uniform downward electric field...

In Figure, a constant force Fa of magnitude 82.0 N is applied to a 3.00 kg shoe box at angle = 53.0o, causing the box to move up a frictionless ramp at constant speed. How much work is done on the...

(a) Find the equivalent resistance between points a and b in Figure P28.6. (b) A potential difference of 34.0 V is applied between points a and b. Calculate the current in each resistor. 7.00 9.00 ...

A plastic film with index of refraction 1.85 is put on the surface of a car window to increase the reflectivity and thus to keep the interior of the car cooler. The window glass has index of...

A 12 N horizontal force F pushes a block weighing 5.0 N against a vertical wall (Fig. 6-26). The coefficient of static friction between the wall and the block is 0.60, and the coefficient of kinetic...

A singly charged positive ion has a mass of 3.20 x 10-26 kg. After being accelerated from rest through a potential difference of 833 V, the ion enters a magnetic field of 0.920 T along a direction...

An insulated wire with mass m = 5.40 X 10-5 kg is bent into the shape of an inverted U such that the horizontal part has a length I = 15.0 cm. The bent ends of the wire are partially immersed in two...

In an open U-tube, the pressure of a water column on one side is balanced by the pressure of a column of gasoline on the other side. (a) Compared to the height of the water column, the gasoline...

Microwave ovens can have cold spots and hot spots due to standing electromagnetic waves, analogous to standing wave nodes and antinodes in strings (Fig. 20.32). (a) The longer the distance between...

(a) Suppose the wire in Ex. 10.2 carries a linearly increasing current I(t) = kt, for t > 0. Find the electric and magnetic fields generated. (b) Do the same for the case of a sudden burst of...

(a) In an RLC circuit, can the amplitude of the voltage across an inductor be greater than the amplitude of the generator emf? (b) Consider an RLC circuit with m = 10 V, R = 10, L = 1.0 H, and C =...

The emissivity of tungsten is 0.350. A tungsten sphere with radius 1.50 cm is suspended within a large evacuated enclosure whose walls are at 290.0 K. What power input is required to maintain the...

A lighted candle is placed 33cm in front of a converging lens of focal length f1 = 15cm, which in turn is 55cm in front of another converging lens of focal length f2 = 12cm (see Fig./ 23-57). (a)...

At 7:14 A.M on June 30, 1908, a huge explosion occurred above remote central Siberia, at latitude 61 N and longitude 102 E; the fireball thus created was the brightest flash seen by anyone before...

1. The average velocity of a mini-bike is 15.0 km/h. How long does it take for the bike to go 35.0 m? 2. A sprinter starting from rest reaches a final velocity of 18.0 mi/h. What is her average...

1. How long does it take for a radio wave to travel 3000 mi across the United States? 2. How long does it take for a flash of light to travel 100 m? 3. How long does it take for a police radar beam...

A 5.80-F, parallel-plate, air capacitor has a plate separation of 5.00 mm and is charged to a potential difference of 400 V. Calculate the energy density in the region between the plates, in units of...

Redo Example 5-3, precisely this time, by not ignoring the weight of the ball which revolves on a string 0.600m long. In particular, find the magnitude of FT, and the angle it makes with the...

Using a rope that will snap if the tension in it exceeds 387N, you need to lower a bundle of old roofing material weighing 449 N from a point 6.1 m above the ground. (a) What magnitude of the...

The current density J inside a long, solid, cylindrical wire of radius a = 3.1 mm is in the direction of the central axis, and its magnitude varies linearly with radial distance r from the axis...

A 3.00-g lead bullet at 30.0C is fired at a speed of 240 m/s into a large block of ice at 0C, in which it becomes embedded. What quantity of ice melts?

A daredevil plans to bungee-jump from a balloon 65.0 m above a carnival midway (Figure P8.19). He will use a uniform elastic cord, tied to a harness around his body, to stop his fall at a point 10.0...

A concave mirror has a radius of curvature of 60.0 cm. Calculate the image position and magnification of an object placed in front of the mirror at distances of (a) 90.0 cm and (b) 20.0 cm. (c) Draw...

A projected space station consists of a circular tube that will rotate about its center (like a tubular bicycle tire (Fig. 5-42). The circle formed by the tube has a diameter of about 1.1 km. What...

A light beam strikes a piece of glass at a 60.00o incident angle. The beam contains two wavelengths, 450.0nm and 700.0nm, for which the index of refraction of the glass is 1.4742, respectively. What...

A disk of radius 25.0 cm is free to turn about an axle perpendicular to it through its center it has very thin but strong string wrapped around its rim, and the string is attached to a ball that is...

A 15.0-cm-Iong solenoid with radius 2.50 cm is closely wound with 600 turns of wire. The current in the windings is 8.00 A. Compute the magnetic field at a point near the center of the solenoid.

An airplane propeller of total length L rotates around its center with angular speed '" in a magnetic field that is perpendicular to the plane of rotation Modeling the propeller as a thin, uniform...

An air-filled toroidal solenoid has a mean radius of 15.0 cm and a cross-sectional area of 5.00 cm2. When the current is 120 A, the energy stored is 0.390 I. How many turns does the winding have?

The drinking fountain is designed such that the nozzle is located from the edge of the basin as shown. Determine the maximum and minimum speed at which water can be ejected from the nozzle so that is...

Suppose the point of insertion of the biceps muscle into the lower arm shown in Fig. 9-13a (Example 9-8) is 6.0 cm instead of 5.0 cm; how much mass could the person hold with a muscle exertion of 450...

A bird stands on a dc electric transmission line carrying 2800 A (Fig. 18-34). The line has 2.5 X 10-5 resistance per meter, and the birds feet are 4.0 cm apart. What is the potential difference...

A proton (mass m = 1.67 x 10-27 kg) is being accelerated along a straight line at 3.6 x 1015 m/s2 in a machine. If the proton has an initial speed of 2.4 x 107 m/s and travels 3.5 cm, what then is?...

An air wedge is formed between two glass plates separated at one edge by a very fine wire, as shown in Figure P37.39. When the wedge is illuminated from above by 600-nm light and viewed from above,...

A small sphere with mass 1.50 g hangs by a thread between two parallel vertical plates 5.00 cm apart (Fig). The plates are insulating and have uniform surface charge densities +σ and - σ....

In fig. 20-45, charged particles move in the vicinity of a current-carrying wire. For each charged particles, the arrow indicates the direction of motion of the particle, and the + or indicates the...

Figure shows a siphon, which is a device for removing liquid from a container. Tube ABC must initially be filled, but once this has been done, liquid will flow through the tube until the liquid...

Four identical point charges (q = +10.0 μC) are located on the corners of a rectangle as shown in Figure P23.57. The dimensions of the rectangle are L = 60.0 cm and W = 15.0 cm. Calculate the...

A liquid flowing from a vertical pipe has a definite shape as it flows from the pipe. To get the equation for this shape, assume that the liquid is in free fall once it leaves the pipe lust as it...

The electric field of a sinusoidal electromagnetic wave obeys the equation E = - (375 V/m) sin [(5.97 x 1015 rad/s)t +(1.99 x 107 rad/m)x]. (a) What are the amplitudes of the electric and magnetic...

In Anchorage, collisions of a vehicle with a moose are so common that they are referred to with the abbreviation MVC. Suppose a l000 kg car slides into a stationary 500 kg moose on a very slippery a...

Tarzan and Jane Tarzan, in one tree, sights Jane in another tree. He grabs the end of a vine with length 20 m that makes an angle of 45 with the vertical, steps off his tree limb, and swings down and...

A hollow sphere of inner radius 8.0 cm and outer radius 9.0 cm floats half-submerged in a liquid of density 800 kg/m3. (a) What is the mass of the sphere? (b) Calculate the density of the material of...

At a certain location in the Philippines, Earth's magnetic field of 39T is horizontal and directed due north. Suppose the net field is zero exactly 8.0 cm above a long, straight, horizontal wire that...

A Multi-stage Rocket In the first stage of a two-stage rocket, the rocket is fired from the launch pad starting from rest but with a constant acceleration of 3.50 m/s2 upward. At 25.0 s after launch,...

A cat usually lands on its feet regardless of the position from which it is dropped. A slow-motion film of a cat falling shows that the upper half of its body twists in one direction while the lower...

A particle of mass m has speed v = a/x, where x is its displacement. Find the force F(x) responsible.

Automotive Power It is not unusual for a 1000-kg car to get 30 mil gal when traveling at 60 mi/h on a level road. If this car makes a 200-km trip, (a) How many joules of energy does it consume, and...

A particle has charge - 3.00 nC. (a) Find the magnitude and direction of the electric field due to this particle at a point 0.250 m directly above it. (b) At what distance from this particle does its...

A flat, square surface with sides of length L is described by the equations (a) Draw this square and show the x-, y-, and z-axes. (b) Find the electric flux through the square due to a positive point...

A spherical capacitor contains a charge of 3.30 nC when connected to a potential difference of 220 V. If its plates are separated by vacuum and the inner radius of the outer shell is 4.00 cm,...

To get a flat, uniform cylindrical satellite spinning at the correct rate, engineers fire four tangential rockets as shown in Fig. 8-44. If the satellite has a mass of 3600 kg and a radius of 4.0m,...

A force F = (4.0 N)i + cj acts on a particle as the particle goes through displacement d = (3.0 m)i (2.0 -)i. (Other forces also act on the particle.) What is c if the work done on the particle by...

A flywheel turns through 40 rev as it slows from an angular speed of 1.5 rad/s to a stop. (a) Assuming a constant angular acceleration, find the time for it to come to rest. (b) What is its angular...

Figure shows an iron ball suspended by thread of negligible mass from an upright cylinder that floats partially submerged in water. The cylinder has a height of 6.00 cm, a face area of 12.0 cm2 on...

In exercise physiology studies it is sometimes important to determine the location of a persons center of mass. This can be done with the arrangement shown in Figure P12.63. A light plank rests on...

Youngs double-slit experiment underlies the Instrument Landing System used to guide aircraft to safe landings when the visibility is poor. Although real systems are more complicated than the example...

Moderators Canadian nuclear reactors use heavy Wafer moderators in which elastic collisions occur between the neutrons and deuterons of mass 2.0 u (see Example 8.11 in Section 8.4). (a) What is the...

A 392-N wheel comes off a moving truck and rolls without slipping along a highway. At the bottom of a hill it is rotating at 25.0 rad/s. The radius of the wheel is 0.600 m, and its moment of inertia...

A 40.0-N force stretches a vertical spring 0.250 m. (a) What mass must be suspended from the spring so that the system will oscillate with a period of 1.00 s? (b) If the amplitude of the motion is...

Two crates, of mass 75kg and 110kg, are in contact and at rest on a horizontal surface (Fig. 4-54). A 620-N force is exerted on the 75-kg crate. If the coefficient of kinetic friction is 0.15,...

A small ball of mass m is aligned above a larger ball of mass M = 0.63 kg (with a slight separation, as with the baseball and basketball of Figure a), and the two are dropped simultaneously from a...

A woman rides a carnival Ferris wheel at radius 1-5 m, completing five turns about its horizontal axis every minute. What are? (a) The period of the motion, the (b) Magnitude and (c) Direction of her...

An air-filled cylindrical inductor has 2800 turns, and it is 2.5cm in diameter and 28.2 cm long. (a) What is its inductance? (b) How many turns would you need to generate the same inductance if the...

A rocket of mass m traveling with speed vo along the x axis suddenly shoots out fuel, equal to one-third of its mass, parallel to the y axis (perpendicular to the rocket as seen from the ground) with...

An air puck of mass m1 is tied to a string and allowed to revolve in a circle of radius R on a frictionless horizontal table. The other end of the string passes through a hole in the center of the...

A semicircular conductor of radius R = 0.250 m is rotated about the axis AC at a constant rate of 120 rev/min (Fig. P31.40). A uniform magnetic field in all of the lower half of the figure is...

Tossing Your Lunch Henrietta is going off to her physics class, jogging down the sidewalk at 3.05 m/s. Her husband Bruce suddenly realizes that she left in such a hurry that she forgot her lunch of...

A satellite dish is about 0.5m in diameter. According to the users manual, the dish has to be pointed in the direction of the satellite, but an error of about 2o is allowed without loss of reception....

The chocolate crumb mystery (a) From the answer to part (a) Of that problem, find an expression for the electric potential as a function of the radial distance r from the center of the pipe. (The...

A basketball of mass 0.60 kg is dropped from rest from a height of 1.05 m. It rebounds to a height of 0.57 m. (a) How much mechanical energy was lost during the collision with the floor? (b) A...

The two blocks (m = 16 kg and M = 88 kg) in Fig. 6-39 are not attached to each other. The coefficient of static friction between the blocks is ? s = 0.38, but the surface beneath the larger block is...

A man stands on the roof of a 15.0-m-tall building and throws a rock with a velocity of magnitude 30.0 m/s at an angle of 33.0 above the horizontal. You can ignore air resistance. Calculate (a) The...

Estimate the radiation pressure due to a 100-W bulb at a distance of 8.0 cm from the center of the bulb. Estimate the force exerted on your fingertip if your place it at this point.

What potential difference is needed to give a helium nucleus (Q = 2e) 65.0 ke V of kinetic energy?

A fireworks rocket is fired vertically upward. At its maximum height of 80.0 m, it explodes and breaks into two pieces, one with mass 1.40 kg and the other with mass 0.28 kg. In the explosion, 860 J...

An electric fan is turned off, and its angular velocity decreases uniformly from 500 rev/min to 200 rev/min in 4.00 s. (a) Find the angular accelera1ion in rev/s' and the number of revolutions made...

Approximately how long should it take 11.0 kg of ice at 0oC to melt when it is placed in a carefully sealed Styrofoam ice chest of dimensions 25 cm X 35 cm X 55 cm whose walls are 1.5cm think? Assume...

Soft phonon mode consider a line of ions of equal mass but alternating in charge, with e p = e(?1) p as the charge on the pth ion the inter atomic potential is the sum of two contributions (1) a...

A hollow, circular, cast-iron pipe (Ec = 12,000 ksi) supports a brass rod (Eb 14,000 ksi) and weight W = 2 kips, as shown. The outside diameter of the pipe is dc = 6 in. (a) If the allowable...

A block slides down a curved frictionless track and then up an inclined plane as in Figure P8.48. The coefficient of kinetic friction between block and incline is μk. Use energy methods to show...

Figure shows four isotropic point sources of sound that are uniformly spaced on an x axis. The sources emit sound at the same wavelength and same amplitude sm, and they emit in phase. A point P is...

A charge Q is placed on a capacitor of capacitance C. The capacitor is connected into the circuit shown in Figure P27.55, with an open switch, a resistor, and an initially uncharged capacitor of...

An object with mass 0.200 kg is acted on by an elastic restoring force with force constant 10.0 N/m. (a) Graph elastic potential energy U as a function of displacement x over a range of x from -...

Long, straight conductors with square cross section, each carrying current I, are laid side by side to form an infinite current sheet with current directed out of the plane of the page (Fig. 28.65).A...

Figure shows an approximate plot of force magnitude F versus time t during the collision of a 58g super ball with a wall. The initial velocity of the ball is 34 m/s perpendicular to the wall; the...

(a) In a liquid with density 1300 kg/m3longitudinal waves with frequency 400 Hz are found to have wavelength 8.00 m. Calculate the bulk modulus of the liquid (b) A metal bar with a length of 1.50 m...

Electromagnetic waves propagate much differently in conductors than they do in dielectrics or in vacuum. If the resistivity of the conductor is sufficiently low (that is, if it is a sufficiently good...

The handle of a jackscrew is 60.0 cm long. (a) If the mechanical advantage is 78.0, what is the pitch? (b) How much weight can be raised by applying a force of 430 N to the jackscrew handle?

Figure shows a man sitting in a bosun's chair that dangles from a mass less rope, which runs over a mass less, frictionless pulley and back down to the man's hand. The combined mass of man and chair...

Calculate the torque about the front support post (B) of a diving board, Fig. 9-42, exerted by a 58-kg person 3.0 m from that post? A B 3.0 m 1.0 m