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

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...

(a) Compute the rms speed of a nitrogen molecule at 20.0oC, the molar mass of nitrogen molecules (Nr) is given in Table 19-1 at what temperatures will the rms speed be (b) Half that value and (c)...

A ball is thrown directly downward, with an initial speed of 8.00 m/s, from a height of 30.0 m. After what time interval does the ball strike the ground?

(a) Calculate the energy released by the electron-capture decay of 5727Co (see Example 43. 7). (b) A negligible amount of this energy goes to the resulting ~e atom as kinetic energy. About 90% of the...

Figure gives, as a function of time t, the force component Fx that as a function of time t, the force acts on a 3.00 kg ice block that can move only along the x axis. At t = 0, the block is moving in...

A freight train starts from rest and travels with a constant acceleration of 0.5 ft/s2. After a time t it maintains a constant speed so that when t = 160s it has traveled 2000 ft. Determine the time...

A particle with charge 7.80 C is moving with velocity u = - (3.80 X l03 m/s) j. The magnetic force on the particle is measured to be F = + (7.60 X l0-3N) i - (5.20 X l0-3N) k. (a) Calculate all the...

At a depth of 10.9 km, the Challenger Deep in the Marianas Trench of the Pacific Ocean is the deepest site in any ocean. Yet, in 1960, Donald Walsh and Jacques Piccard reached the Challenger Deep in...

The common Eastern mole, a mammal, typically has a mass of 75 g, which corresponds to about 7.5 moles of atoms. (A mole of atoms is 6.02 1023 atoms.) In atomic mass units (u), what is the average...

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...

(a) Calculate the total rotational kinetic energy of the molecules in 1.00 mol of a diatomic gas at 300 K. (b) Calculate the moment of inertia of an oxygen molecule (O2) for rotation about either the...

The mass of the blue puck in Figure P9.31 is 20.0% greater than the mass of the green one. Before colliding, the pucks approach each other with moment of equal magnitudes and opposite directions, and...

The rotor in a certain electric motor is a flat rectangular coil with 80 turns of wire and dimensions 2.50 cm by 4.00 cm. The rotor rotates in a uniform magnetic field of 0.800 T. When the plane of...

In 2005 astronomers announced the discovery of a large black hole in the galaxy Mark Arian 766 having clumps of matter orbiting around once every 27 hours and moving at 30,000 km/s. (a) How far are...

A cylinder 1.00 m tall with inside diameter 0.120 m is used to hold propane gas (molar mass 44.1 g/mol) for use in a barbecue. It is initially filled with gas until the gauge pressure is 1.30 X 106...

A capstan is a rotating drum or cylinder over which a rope or cord slides in order to provide a great amplification of the rope's tension while keeping both ends free (Fig. 17.33). Since the added...

Suppose the hand in Problem 32 holds a 15-kg mass. What force, Fm, is required of the deltoid muscle, assuming the mass is 52cm from the shoulder joint?

The amplitude of a wave traveling through a lossy nonmagnetic medium reduces by 18% every meter. If the wave operates at 10 MHz and the electric field leads the magnetic field by 24, calculate: (a)...

A simple harmonic oscillator takes 12.0 s to undergo five complete vibrations. Find (a) The period of its motion, (b) The frequency in hertz, and (c) The angular frequency in radians per second.

A 5.00-g bullet is fired horizontally into a 1.20-kg wooden block resting on a horizontal surface. The coefficient of kinetic friction between block and surface is 0.20. The bullet remains embedded...

A steel ring with a 2.5000-in. inside diameter at 20.0C is to be warmed and slipped over a brass shaft with a 2.5020-in. outside diameter at 20.0C. (a) To what temperature should the ring be warmed?...

When 230-nm light falls on a metal the current through a photoelectric circuit (Fig 27-6) is brought to zero at a stopping voltage of 1.64V. What is the work function of the metal?

A resistance R, capacitance C, and inductance L are connected in series to a voltage source with amplitude V and variable angular frequency w. If w = w0 the resonance angu1ar frequency, find (a) The...

A Thermodynamic Process in a Liquid A chemical engineer is studying the properties of liquid methanol (CH3OH). She uses a steel cylinder with a cross-sectional area of 0.0200 m2 and containing 1.20 X...

In a physics lab, a cube slides down a frictionless incline as shown is Fig. 7.35 and elastically strikes another cube at the bottom that is only one-half its mass. IF the incline is 30cm high and...

At each corner of a square of side l there are point charges of magnitude Q, 2Q, 3Q and 4Q (Fig 16-52). Determine the force on? (a) The charge 2Q, and (b) The charge 3Q, due to the other three...

Dynamic magneto conductivity tensor for free electrons a metal with a concentration n of free electrons of charge e is in a static magnetic field B. The electric current density in the xy plane is...

Assume the intensity of sunlight is 1.00 kW/m2 at a particular location. A highly reflecting concave mirror is to be pointed toward the Sun to produce a power of at least 350 W at the image. (a) Find...

(a) Find the current in the large circuit 200?s after S is closed.(c) Find the direction of the current in the small circuit.(d) Justify why we can ignore the magnetic field from all the wires of the...

In Figure a box of ant aunts (total mass m 1 = 1.65 kg) and a box of ant uncles (total mass m 2 = 3.30 kg) slide down an inclined plane while attached by a mass less rod parallel to the plane. The...

A particle of mass m slides without friction inside a hemispherical bowl of radius R. Show that, if it starts from rest with a small displacement from equilibrium, the particle moves in simple...

Exactly one turn of a flexible rope with mass m is wrapped around a uniform cylinder with mass M and radius R. The cylinder rotates without friction about a horizontal axle along the cylinder axis....

A plastic ball has radius 12.0 cm and floats in water with 16.0% of its volume submerged. (a) What force must you apply to the ball to hold it at rest totally below the surface of the water? (b) If...

The 75 kg climber in Figure is supported in the chimney by the friction forces exerted on his shoes and back. The static coefficients of friction between his shoes and the wall, and between his back...

A scuba tank, when fully charged, has a pressure of 195 atm at 20oC. The volume of the tank is 11.3L. (a) What would the volume of the air be at 1.00 atm and at the same temperature? (b) Before...

At the Galaxy's Core Astronomers have observed a small, massive object at the center of our Milky Way galaxy (see Section 12.8). Airing of material orbits this massive object; the ring has a diameter...

A tightly coiled spring having 75 coils, each 3.50 cm in diameter, is made of insulated metal wire 3.25 mm in diameter. An ohmmeter connected across its opposite ends reads 1.74 . What is the...

A hydrogen atom in the 5g state is placed in a magnetic field of 0.600 T that is in the z-direction. (a) Into how many levels is this state split by the interaction of the atom's orbital magnetic...

A child at the beach digs a hole in the sand and uses a pail to fill it with water having a mass of 1.20 kg. The mass of one molecule of water is 18.0 u. (a) Find the number of water molecules in...

A line of charge with uniform density 35.0 nC/m lies along the line y = -15.0 cm, between the points with coordinates x = 0 and x = 40.0 cm. Find the electric field it creates at the origin.

A skier starts at the top of a very large, frictionless snowball, with a very small initial speed, and skis straight down 1he side (Fig. 7.38). At what point does she lose contact with the snowball...

A 60.0-kg painter is on a uniform 25-kg scaffold supported from above by ropes (Fig. 9-82). There is a 4.0-kg pail of paint to one side, as shown Can the painter walk safely to both ends of the...

The Zucchini family was renowned for their human cannonball act in which a family member was shot from a cannon using either elastic bands or compressed air. In one version of the act, Emanuel...

The displacement of an oscillating object as a function of time is shown in Fig. 13.30. What are (a) The frequency; (b) The amplitude; (c) The period; (d) The angu1ar frequency of this motion? x (cm)...

An electron and a positron, each moving at 1.0 x 105m/s, collide head on, disappear, and produce two photons, each with the same energy and momentum moving in opposite direction. What is the energy...

Figure shows a battery connected across a uniform resistor R 0 A sliding contact can move across the resistor from x = 0 at the left to x = 10 cm at the right. Moving the contact changes how much...

A skier of mass 65.0 kg is pulled up a snow-covered slope at constant speed by a tow rope that is parallel to the ground. The ground slopes upward at a constant angle of 26.0 above the horizontal,...

Automotive Power n (a) If 8.00 hp are required to drive a 1800-kg automobile at 60.0 km/h on a level road, what is the total retarding force due to friction, air resistance, and so on? (b) What power...

Calculate the gravitational field vector due to a homogeneous cylinder at exterior points on the axis of the cylinder. Perform the calculation (a) By computing the force directly and (b) By computing...

A square loop (side a) is mounted on a vertical shaft and rotated at angular velocity w (Fig. 7.18). A uniform magnetic field B points to the right. Find the (t) for thi, alternating current...

Hot chocolate effect tap a metal spoon inside a mug of water and note the frequency fi you hear. Then add a spoonful of powder (say, chocolate mix or instant coffee) and tap again as you stir the...

In Figure the fresh water behind a reservoir dam has depth D = 15 m. A horizontal pipe 4.0 cm in diameter passes through the dam at depth d = 6.0 m. A plug secures the pipe opening. (a) Find the...

A hollow, spherical shell with mass 2.00 kg rolls without slipping down a 38.0 slope. (a) Find the acceleration, the friction force, and the minimum coefficient of friction needed 10 prevent...

A hot-air balloon has a volume of 2200 m3. The balloon fabric (the envelope) weighs 900 N. The basket with gear and full propane tanks weighs 1700 N. If the balloon can barely lift an additional 3200...

A uniform solid sphere rolls down an incline. (a) What must be the incline angle if the linear acceleration of the center of the sphere is to have a magnitude of 0.109? (b) If a frictionless block...

A conical pendulum consists of a bob of mass m in motion in a circular path in a horizontal plane as shown in Figure P11.14. During the motion, the supporting wire of length l maintains the constant...

Expectant parents are thrilled to hear their unborn babys heartbeat, revealed by an ultrasonic motion detector. Suppose the fetuss ventricular wall moves in simple harmonic motion with amplitude of...

A scaffold of mass 60 kg and length 5.0 m is supported in a horizontal position by a vertical cable at each end. A window washer of mass 80 kg stands at a point l.5 m from one end. What is the...

A small sphere with a mass of 0.002 g and carrying a charge of 5.00 X 10-8 C hangs from a thread near a very large, charged conducting sheet, as shown in Fig. The charge density on the sheet is 2.50...

(a) A box sits at rest on a rough 30o inclined plane. Draw the free-body diagram, showing all the acting on the box. (b) How would the diagram change if the box were sliding down the plane? (c) How...

A 3800-kg open railroad car coasts along with a constant speed of 8.60 m/s on a level track. Snow begins to fall vertically and fills the car at a rate of3.50 kg/min ignoring friction with the tracks...

Stephen is pushing his sister Joyce in a wheelbarrow when it is stopped by a brick 8.00 cm high (Fig. P12.22). The handles make an angle of 15.0° below the horizontal. A downward force of 400 N...

A brass wire is to withstand a tensile force of 350 N without breaking. What minimum diameter must the wire have?

Weighing Astronauts this procedure has actually been used to ''weigh'' astronauts in space. A 42.5-kg chair is attached to a spring and allowed to oscillate. When it is empty, the chair takes 1.30 s...

The balance wheel of a watch vibrates with an angular amplitude e, angular frequency"', and phase angle'" = O. (a) Find expressions for the angular velocity d81dt and angular acceleration d 281dt2 as...

The string in Figure is L = 120 cm long, has a ball attached to one end, and is fixed at its other end. The distance d from the fixed end to a fixed peg at point P is 75.0 cm. When the initially...

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...

The distance from the Sun to the nearest star is about 4 x 1016 m. The Milky Way galaxy is roughly a disk of diameter ~1021 m and thickness ~1019. Find the order of magnitude of the number of stars...

A pyramid with horizontal square base, 6.00 m on each side, and a height of 4.00 m is placed in a vertical electric field of 52.0 N/C. Calculate the total electric flux through the pyramids four...

A small button placed on a horizontal rotating platform with diameter 0.320 m will revolve with the platform when it is brought up to a speed of 40.0 rev/min, provided the button is no more than...

Three dimensions three point particles are fixed in place in a xyz coordinate system. Particle A, at the origin, has mass mA. Particle B, at xyz coordinates (2.00d, 1.00d, 2.00d), has mass 2.00ma,...

What would be the height of the atmosphere if the air density (a) Were uniform and (b) Decreased linearly to zero with height? Assume that at sea level the air pressure is 1.0 atm and the air density...

The weight of a rectangular block of low-density material is 15.0 N. With a thin string, the center of the horizontal bottom face of the block is tied to the bottom of a beaker partly filled with...

In Figure, two 6.20 kg blocks are connected by a massless string over a pulley of radius 2.40 cm and rotational inertia 7.40 x 10-4 kg-m2. The string does not slip on the pulley; it is not known...

A torque T0 is transmitted between two flanged shafts by means of ten 20-mm bolts (see figure and photo). The diameter of the bolt circle is d = 250 mm. If the allowable shear stress in the bolts is...

The region between two concentric conducting spheres with radii a and b is filled with a conducting material with resistivity p. (a) Show that the resistance between the spheres is given by (b)...

(a) What is the maximum tension possible in a 1.00-mm-diameter nylon tennis racket string? (b) If you want tighter strings, what do you do to prevent breakage: use thinner or thicker strings? Why?...

A tank whose bottom is a mirror is filled with water to a depth of 20.0cm. A small fish floats motionless 7.0cm under the surface of the water. (a) What is the apparent depth of the fish when viewed...

A partially evacuated airtight container has a tight fitting lid of surface area 77 m2 and negligible mass. If the force required to remove the lid is 480 N and the atmospheric pressure is 1.0 x 105...

Figure P12.15 shows a claw hammer as it is being used to pull a nail out of a horizontal board. If a force of 150 N is exerted horizontally as shown, find (a) The force exerted by the hammer claws on...

A charge q1 = + 5.00 nC is placed at the origin of an x y coordinate system, and a charge q2 = - 2.00 nC is placed on the positive x-axis at x = 4.00 cm. (a) If a third charge q3 = +6.00 nC is now...

What is the angular momentum of a 0.210-kg ball rotating on the end of a thin string in a circle of radius 1.10 m at an angular speed of 10.4 rad/s?

In the product F = qv x B, take q = 2, v = 2.0i + 4.0j + 6.0k and F = 4.0i = 20j + 12k. What then is B in unit-vector notation if Bx = By?

A high-wire walker always attempts to keep his center of mass over the wire (or rope). He normally carries a long, heavy pole to help: If he leans, say to his right (his com moves to the right) and...

An airplane is flying with a velocity of 240 m/s at an angle of 30.0° with the horizontal, as the drawing shows. When the altitude of the plane is 2.4 km, a flare is released from the plane. The...

A block of ice with mass 2.00 kg slides 0.750 m down an inclined plane that slopes downward at an angle of 36.9 below the horizontal. If the block of ice starts from rest, what is its final speed?...

Two plane mirrors intersect at right angles. A laser beam strikes the first of them at a point 11.5cm from their point of inter-section, as shown in Fig. 3338 for what angle of incidence at the first...

A uniform line charge is placed on an infinite straight wire, a distance d above a grounded conducting plane. (Let's say the wire runs parallel to the x-axis and directly above it, and the...

A double Atwood's machine is shown in Fig., with masses m1, m2, and what are the accelerations of themasses? , .

A negatively charged rod of finite length carries charge with a uniform charge per unit length. Sketch the electric field lines in a plane containing the rod.

When a mass of 25 kg is hung from the middle of a fixed straight aluminum wire, the wire sags to make an angle of 12i with the horizontal as shown in Fig. 9-77. Determine the radius of the wire.

You look through a camera toward an image of a hummingbird in a plane mirror. The camera is 4.30 m in front of the mirror. The bird is at camera level, 5.00 m to your right and 3.30 m from the...

The Ferris wheel in Fig. 3.42, which rotates counterclockwise, is just starting up. At a given instant, a passenger on the rim of the wheel and passing through the lowest point of his circular motion...

A sample of an ideal gas goes through the process shown in Figure P20.32. From A to B, the process is adiabatic; from B to C, it is isobaric with 100 kJ of energy entering the system by heat. From C...

A Geiger tube is a radiation detector that essentially consists of a closed, hollow metal cylinder (the cathode) of inner radius ra and a coaxial cylindrical wire (the anode) of radius rb (Fig....

A small block with a mass of 0.120 kg is attached to a cord passing through a hole in a frictionless, horizontal surface (Fig. 6.34). The block is originally revolving at a distance of 0.40 m from...

Bouncing Ball A 650-gram rubber ball is dropped from an initial height of 250 m, and on each bounce it returns to 75% of its previous height (a) What is the initial mechanical energy of the ball,...

Figure shows a uniform disk that can rotate around its center like a merry-go-round. The disk has a radius of 2.00 cm and a mass of 20.0 grams and is initially at rest. Starting at time t = 0, two...

In 1816 Robert Stirling, a Scottish clergyman, patented the Stirling engine, which has found a wide variety of applications ever since. Fuel is burned externally to warm one of the engines two...