A 650-kg elevator starts from rest. It moves upward for 3.00 s with constant acceleration until it reaches its cruising speed of 1.75 m/s. (a) What is the average power of the elevator motor during...

Assume Eq. 6-14 gives the drag force on a pilot plus ejection seat just after they are ejected from a plane traveling horizontally at 1300 km/h. Assume also that the mass of the seat is equal to the...

Two thermally insulated vessels are connected by a narrow tube fitted with a valve that is initially closed. One vessel, of volume 16.8 L, contains oxygen at a temperature of 300 K and a pressure of...

A piano string having a mass per unit length equal to 5.00 x 103 kg/m is under a tension of 1 350 N. Find the speed of a wave traveling on this string.

A 140-mH inductor and a 4.90-Ω resistor are connected with a switch to a 6.00-V battery as shown in Figure P32.27. (a) If the switch is thrown to the left (connecting the battery), how much...

You are standing on a large sheet of frictionless ice and holding a large rock. In order to get off 1he ice, you throw 1he rock so it bas velocity 12.0 m/s relative to 1he earth a1 an angle of 35.0...

In Figure P29.18, the cube is 40.0 cm on each edge. Four straight segments of wireab, bc, cd, and daform a closed loop that carries a current I = 5.00 A, in the direction shown. A uniform magnetic...

The Farmyard Gate A gate 4.00 m wide and 2.00 m high weighs 500 N. Its center of gravity is at its center, and it is hinged at A and B. To relieve the strain on the top hinge, a wire CD is connected...

A typical coal-fired power plant generates 1000 MW of usable power at an overall thermal efficiency of 40%. (a) What is the rate of heat input to the plant? (b) The plant bums anthracite coal, which...

When you ascend or descend a great deal when driving in a car, your ears pop, which means that the pressure behind the endure is being equalized to that outside. If this did not happen, what would be...

A steel ball of mass 0.500 kg is fastened to a cord that is 70.0 cm long and fixed at the far end. The ball is then released when the cord is horizontal (Figure). At the bottom of its path, the ball...

A Carnot engine is set up to produce a certain Work W per cycle. In each cycle, energy in the form of heat QH is transferred to the working substance of the engine from the higher-temperature thermal...

Ten days after it was launched toward Mars in December 1998, the Mars Climate Orbiter spacecraft (mass 629 kg) was 2.87 X 106 k/n from the earth and traveling at 1.20 X 104 km/h restive to the earth....

(a) In 1975 the roof of Montreal's Velodrome, with a weight of 360kN, was lifted by 10 cm so that it could be centered. How much work was done on the roof by the forces making the lift? (b) In 1960 a...

A 65-kg trampoline artist jumps vertically upward from the top of a platform with speed of 5.0 m/s. (a) How fast is he going as he lands on the trampoline, 3.0m below (Fig. 6-38)? (b) If the...

A 70-cm-diameter wheel accelerates uniformly about its center from 130 rpm to 280 rpm in 4.0s. Determine (a) Its angular acceleration, and (b) The radial and tangential components of the linear...

An 8.00-kg ball, hanging from the ceiling by a light wire 135 cm long, is struck in an elastic collision by a 2.00-kg ball moving horizontally at 5.00 m/s just before the collision. Find the tension...

A ball of mass 0.440 kg moving east( + x direction) with a speed of 3.30m/s collides head-on with a 0.220-kg ball at rest. If the collision is perfectly elastic, what will be the speed and direction...

Jane, whose mass is 50.0 kg, needs to swing across a river (having width D) filled with man-eating crocodiles to save Tarzan from danger. She must swing into a wind exerting constant horizontal force...

One of the brightest comets of the 20th century was Comet Hyakutake, which passed close to the sun in early 1996. The orbital period of this comet is estimated to be about 30,000 years. Find the...

Engine oil (assume SAE 10, Table 10.3) passes through a 1.80-mm-diameter tube in a prototype engine. The tube is 5.5 cm long. What pressure difference is needed to maintain a flow rate of 5.6 mL/min?

A source of sinusoidal electromagnetic waves radiates uniformly in all directions. At 10.0 m from this source, the amplitude of the electric field is measured to be 1.50 N/C. What is the electric...

A 0.12 kg body undergoes simple harmonic motion of amplitude 8.5 cm and period 0.20 s. (a) What is the magnitude of the maximum force acting on it? (b) If the oscillations are produced by a spring,...

Romeo is chucking pebbles gently up to Juliets window, and he wants the pebbles to hit the window with only a horizontal component of velocity. He is standing at the edge of a rose garden 4.5 m below...

Suppose two boxes on a frictionless table are connected by a heavy cord of mass 1.0kg. Calculate the acceleration of each box and the tension at each end of the cord, using the free-body diagrams...

The three balls in the overhead view of Figure are identical. Balls 2 and 3 touch each other and are aligned perpendicular to the path of ball L. The velocity of ball t has magnitude v0 = 10 m/s and...

A gas thermometer registers an absolute pressure corresponding to 325 mm of mercury when in contact with water at the triple point. What pressure does it read when in contact with water at the normal...

While painting the top of an antenna 225 m in height, a worker accidentally lets a 1.00-L water bottle fall from his lunchbox. The bottle lands in some bushes at ground level and does not break. If a...

Estimate the net force between the CO group and the HN group shown in Fig. 16-62 The C and O have charges ± 0.40e, and the H and N have charges ± 0.20e, where e = 1.6 X 10-10C. H EN -N-...

An interference pattern is produced by light of wavelength 580 nm from a distant source incident on two identical parallel slits separated by a distance (between centers) of 0.530 mm. (a) If the...

A student sits on a freely rotating stool holding two weights, each of mass 3.00 kg (Figure P11.30). When his arms are extended horizontally, the weights are 1.00 m from the axis of rotation and he...

Four capacitors are connected as shown in Figure P26.21. (a) Find the equivalent capacitance between points a and b. (b) Calculate the charge on each capacitor if Vab = 15.0 V. 15.0 F 3.00 F 6.00 F

Because g varies so little over the extent of most structures, any structure's center of gravity effectively coincides with its center of mass. Here is a fictitious example where g varies more...

A charged particle is held at the center of a spherical shell. Figure gives the magnitude E of the electric field versus radial distance r. The scale of the vertical axis is set by Es = 10.0 x 107...

A cylinder is closed by a piston connected to a spring of constant 2.00 X 103 N/m (see Fig. P19.50). with the spring relaxed, the cylinder is filled with 5.00 L of gas at a pressure of 1.00 atm and a...

A uniform board of length L is sliding along a smooth (frictionless) horizontal plane as in Figure P8.39a. The board then slides across the boundary with a rough horizontal surface. The coefficient...

A simple pendulum is 5.00 m long. (a) What is the period of small oscillations for this pendulum if it is located in an elevator accelerating upward at 5.00 m/s2? (b) What is its period if the...

While riding a multi speed bicycle, the rider can select the radius of the rear sprocket that is fixed to the rear axle. The front sprocket of a bicycle has radius 12.0 cm. If the angular speed of...

A twirler's baton is made of a slender metal cylinder of mass M and length L. Each end has a rubber cap of mass m, and you can accurately treat each cap as a particle in this problem. Find the total...

A cardboard tube is wrapped with two windings of a insulated wire wound in opposite directions, as shown in Fig. 29.34. Terminals a and b of winding A may be connected to a battery through a...

A traditional unit of length in Japan is the ken (1 ken = 1.97m). What are the ratios of? (a) Square kens to square meters and (b) Cubic kens to cubic meters? What is the volume of a cylindrical...

A circular bar AB of length L is fixed against rotation at the ends and loaded by a distributed torque t(x) that varies linearly in intensity from zero at end A to t0 at end B (see figure). Obtain...

Two semi-infinite grounded conducting planes meet at right angles. In the region between them, there is a point charge q, situated as shown in Fig. 3.15. Set up the image configuration, and calculate...

The steel plane truss shown in the figure is loaded by three forces P, each of which is 490 kN. The truss members each have a cross-sectional area of 3900 mm2 and are connected by pins each with a...

An amusement park ride consists of a large vertical cylinder that spins about its axis fast enough such that any person inside is held up against the wall when the floor drops away (Fig. P6.65). The...

Electrostatic precipitators use electric forces to remove pollutant particles from smoke, in particular in the smokestacks of coal-burning power plants. One form of precipitator consists of a...

A 68.5-kg astronaut is doing a repair in space on the orbiting space station. She throws a 2.25-kg tool away from her at 3.20 m/s relative to the space station. With what speed and in what direction...

A diving board 3.00 m long is supported at a point 1.00 m from the end, and a diver weighing 500 N stands at the free end (Fig. 11.24). The diving board is of uniform cross section and weighs 280 N....

A 28.0-kg block is connected to an empty 1.35-kg bucket by a cord running over a frictionless pulley (Fig. Fig 4-59). The coefficient of static friction between the table and the block is 0.450 and...

Two thin lenses with focal lengths of magnitude 15.0 cm, the first diverging and the second converging, are placed 12.00 cm apart. An object 4.00 mm tall is placed 5.00 cm to the left of the first...

Figure shows a cross section of a hollow cylindrical conductor of radii a and b, carrying a uniformly distributed current t. (a) Show that the magnetic field magnitude B(r) for the radial distance r...

(a) What is the resistance of a lightbulb that uses an average power of 75.0 W when connected to a 60.0-Hz power source having a maximum voltage of 170 V? (b) What If? What is the resistance of a...

Two crates, A and B, sit at rest side by side on a frictionless horizontal surface. The crates have masses mA and mB. A horizontal force F is applied to crate A and the two crates move off to the...

A 5.00-kg package slides 1.50 m down a long ramp that is inclined at 12.0 below the horizontal. The coefficient of kinetic friction between the package and the ramp is k = 0.310. Calculate (a) The...

A salamander of the genus Hydro-mantes captures prey by launching its tongue as a projectile: The skeletal part of the tongue is shot forward, unfolding the rest of the tongue, until the outer...

A plane flies from base camp to lake A, 280 km away, in a direction of 20.0 north of east. After dropping off supplies it flies to lake B, which is 190 km at 30.0 west of north from lake A....

A very long, thin rod carries electric charge with the linear density 35.0 nC/m. It lies along the x axis and moves in the x direction at a speed of 15.0 Mm/s. (a) Find the electric field the rod...

Cell Membranes Cell membranes (the walled enclosure around a cell) are typically about 7.5 nm thick. They are partially permeable to allow charged material to pass in and out, as needed. Equal but...

A long pair of wires conducts 25.0A of dc current to, and from, an instrument. If the insulated wires are of negligible diameter but are 2.8mm apart, what is the magnetic field 10.00cm from their...

If 26.0 V is applied across the whole network of Fig. 19-52, calculate the voltage across each capacitor.

Check the fundamental theorem for gradients, using T = x2 + 4xy + 2yz3, the points a = (0, 0, 0), b = (1, 1, 1), and the three paths in Fig. 1.28:? (a) (0,0.0) ??? (1.0, 0) ??? (1, 1,0) ??? (1,...

Block B in Figure weighs 711 N. The coefficient of static friction between block and table is 0.25; angle is 30 o ; assume that the cord between B and the knot is horizontal. Find the maximum weight...

A block of mass 0.250 kg is placed on top of a light vertical spring of force constant 5 000 N/m and pushed downward so that the spring is compressed by 0.100 m. After the block is released from...

A 28-g rifle bullet traveling 230 m/s buries itself in a 3.6-kg pendulum hanging on a 2.8-m-long string, which makes the pendulum swing upward in a an are. Determine the vertical and horizontal...

A very long insulating cylindrical shell of radius 6.00 cm carries charge of linear density 8.50 C/m spread uniformly over its outer surface. What would a voltmeter read if it were connected between...

A skier leaves the ramp of a ski jump with a velocity of 10.0 m/s, 15.0° above the horizontal, as in Figure P4.67. The slope is inclined at 50.0°, and air resistance is negligible. Find (a)...

A cassette player is said to have a signal-to-noise ratio of 58 dB, whereas for a CD player it is 95 dB. What is the ratio of intensities of the signal and the background noise for each device?

A slit 0.240 mm wide is illuminated by parallel light rays of wavelength 540 nm. The diffraction pattern is observed on a screen that is 3.00 m from the slit. The intensity at the center of the...

In fighting forest fires, airplanes work in support of ground crews by dropping water on the fires. A pilot is practicing by dropping a canister of red dye, hoping to hit a target on the ground...

The Vomit Comet In zero-gravity astronaut training and equipment testing, NASA flies a KC135A aircraft along a parabolic flight path. As shown in Figure P4.47, the aircraft climbs from 24 000 ft to...

Air that initially occupies 0.140 m3 at a gauge pressure of 103.0 kPa is expanded isothermally to a pressure of 101.3 kPa and then cooled at constant pressure until it reaches its initial volume....

At a certain instant, the earth, the moon, and a stationary 1250-kg spacecraft lie at the vertices of an equilateral triangle whose sides are 3.84 X 10' km in length. (a) Find the magnitude and...

Quark Model of the Neutron The neutron is a particle with zero charge. Nonetheless, it has a nonzero magnetic moment with z component 9.66 X 10-27 A. m2. This can be explained by the internal...

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...

Diffraction occurs for all types of waves, including sound waves. High-frequency sound from a distant source with wavelength 9.00 cm passes through a narrow slit 12.0 cm wide. A microphone is placed...

Redo Example 5, assuming that there is no upward lift on the plane generated by its wings. Without such lift, the guideline slopes downward due to the weight of the plane. For purposes of significant...

The Bernoulli effect can have important consequences for the design of buildings. For example, wind can blow around a skyscraper at remarkably high speed, creating low pressure. The higher...

Three solid plastic cylinders all have radius 2.50 cm and length 6.00 cm. One (a) Carries charge with uniform density 15.0 nC/m2 everywhere on its surface. Another (b) Carries charge with the same...

A 10.0-g piece of Styrofoam carries a net charge of '0.700 %C and floats above the center of a large horizontal sheet of plastic that has a uniform charge density on its surface. What is the charge...

The engine of a Ferrari F355 Fl sports car takes in air at 20.0C and 1.00 atm and compresses it adiabatically to 0.0900 times the original volume. The air may he treated as an ideal gas with Y =...

The Coaxial Cable A long coaxial cable consists of an inner cylindrical conductor with radius a and an outer coaxial cylinder with inner radius b and outer radius c. The outer cylinder is mounted on...

The magnetic field B in a certain region is 0.128 T, and its direction is that of the +z-axis in Fig. (a) What is the magnetic flux across the surface abed in the figure? (b) What is the magnetic...

A child with poor table manners is sliding his 250-g dinner plate back and forth in SHM with an amplitude of 0.100 m on a horizontal surface. At a point 0.060 m away from equilibrium the speed of the...

A beam of hydrogen molecules (H2) is directed toward a wall, at an angle of 55o with the normal to the wall. Each molecule in the beam has a speed of 1.0 km/s and a mass of 3.3 x 10-24 g. The beam...

A water hose is used to fill a large cylindrical storage tank of diameter D and height W. The hose shoots the water at 45° above the horizontal from the same level as the base of the tank and is...

Tsunami! On December 26, 2004, a great earthquake occurred off the coast of Sumatra and triggered immense waves (tsunami) that killed some 200,000 people. Satellites observing these waves from space...

A water wave traveling in a straight line on a lake is described by the equation Where y is the displacement perpendicular to the undisturbed surface of the lake? (a) How much time does it take for...

Two wires run from the top of a pole 2.6 m tall that supports a volleyball net. The two wires are anchored to the ground 2.0m apart, and each is 2.0m from the pole (Fig. 9-63). The tension in each...

A sma1l, circular ring is inside a larger loop that is connected to a battery and a switch, as shown in Fig. 29.35. Use Lenz's law to find the direction of the current induced in the small ring(a)...

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...

In a certain experiment, a radio transmitter emits sinusoidal electromagnetic waves of frequency 110.0 MHz in opposite directions inside a narrow cavity with reflectors at both ends, causing a...

An object 10.0 cm tall is placed at the zero mark of a meter stick. A spherical mirror located at some point on the meter stick creates an image of the object that is upright, 4.00 cm tall, and...

Hot Jupiters in 2004 astronomers reported the discovery of a large Jupiter-sized planet orbiting very close to the star HD 179949 (hence the term ''hot Jupiter"). The orbit was just the distance of...

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...

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...

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...

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) A yo-yo is made of two solid cylindrical disks, each of mass 0.050 kg and diameter 0.075m, joined by a (concentric) thin solid cylindrical hub of mass 0.0050 kg and diameter 0.010m. Use...

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...

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