In the instant of Figure, two particles move in an xy plane. Particle P1 has mass 6.5 kg and speed v1 = 2.2 m/s and it is at distance d1 = 1.5 m from point O. Particle P2 has mass 3.1 kg and speed v2...

In a constant-volume gas thermometer, the pressure at 20.0C is 0.980 atm. (a) What is the pressure at 45.0C? (b) What is the temperature if the pressure is 0.500 atm?

A uniformly charged insulating rod of length 14.0 cm is bent into the shape of a semicircle as shown in Figure P23.33. The rod has a total charge of - 7.50 μC. Find the magnitude and direction of...

A person whose eyes are 1.68 m above the floor stands 2.20 m is front of a vertical plane mirror whose bottom edge is 43 cm above the floor, Fig. 23-48. What is supporting the mirror of the nearest...

A rifle is used to shoot twice at a target, using identical cartridges. The first time, the rifle is aimed parallel to the ground and directly at the center of the bull's-eye. The bullet strikes the...

A baseball player holds a 36-oz bat (weight θ 10.0 N) with one hand at the point O (Fig. P12.1). The bat is in equilibrium. The weight of the bat acts along a line 60.0 cm to the right of O....

A U-tube open at both ends is partially filled with water (Fig. P14.71a). Oil having a density of 750 kg/m3 is then poured into the right arm and forms a column L = 5.00 cm high (Fig. P14.71b) (a)...

A 0.500-kg block, attached to a spring with length 0.60 m and force constant 40.0 N/m, is at rest with the back of the block at point A on a frictionless, horizontal air table (Fig. 7.44). The mass...

A certain brand of freezer is advertised to use 730 kW .h of energy per year. (a) Assuming the freezer operates for 5 hours each day. How much power does it require while operating? (b) If the...

In Figure a block weighing 14.0 N, which can slide without friction on an incline at angle = 40.0o, is connected to the top of the incline by a massless spring of unstretched length 0.450 m and...

Suppose 200 J of work is done on a system and 70.0 cal is extracted from the system as heat. In the sense of the first law of thermodynamics, what are the values (including algebraic signs) of (a) W,...

Consider a system of two particles in the xy plane: m1 = 2.00 kg is at the location r1 = (1.00i + 2.00j) m and has a velocity of (3.00i + 0.500j) m/s; m2 = 3.00 kg is at r2 = (4.00i 3.00j) m and has...

A rod 14.0 cm long is uniformly charged and has a total charge of -22.0 C. Determine the magnitude and direction of the electric field along the axis of the rod at a point 36.0 cm from its center.

Giraffe bending to drink in a giraffe with its head 2.0 m above its heart, and its heart 2.0 m above its feet, the (hydrostatic) gauge pressure in the blood at its heart is 250 torr. Assume that the...

A grindstone in the shape of a solid disk with diameter 0.520 m, and a mass of 50.0 kg is rotating at 850 rev/min, you press an ax against the rim with a normal force of 160 N (Fig. 10.43), and the...

An electric turntable 0.750 m in diameter is rotating about a fixed axis with an initial angular velocity of 0.250 rev/s and a constant angular acceleration of 0.900 rev/s2, (a) Compute the angular...

Typical backyard ants often create a network of chemical trails for guidance. Extending outward from the nest, a trail branches (bifurcates) repeatedly, with 60o between the branches. If a roaming...

A large electroscope is made with leaves that are 78-cm-long wires with tiny 24-g spheres at the ends. When charged, nearly all the charge resides on the spheres. If the wires each make a 30o angle...

The mass of Venus is 81.5% that of the earth, and its radius is 94.9% that of the earth. (a) Compute the acceleration due to gravity on the surface of Venus from these data. (b) If a rock weighs 75.0...

A 0.0200-kg bolt moves with SHM that has amplitude of 0.240 m and a period of 1.500 s. The displacement of the bolt is +0.240 m when t = O. Compute (a) The displacement of the bolt when t = 0.500 s;...

A Uniformly Charged Slab A slab of insulating material has thickness 2d and is oriented so that its faces are parallel to the yz-plane and given by the planes x = d and x = -d. The y- and...

An air-conditioner with refrigerant-134a as the working fluid is used to keep a room at 23°C by rejecting the waste heat to the outdoor air at 34°C. The room gains heat through the walls and...

A laser beam is directed at the Moon, 380,000 km from Earth. The beam diverges at an angle θ (Fig. 837) of 1.4 x 10-5 rad. What diameter spot will it make on the Moon? Moon Earth Laser beam

A shortstop may leap into the air to catch a ball and throw it quickly. AS he throws the ball, the upper part of his body rotates. If you look quickly you will notice that his hips and legs rotate in...

In a two-slit interference pattern, the intensity at the peak of the central maximum is I0. (a) At a point in the pattern where the phase difference between the waves from the two slits is 60.0, what...

A 124-kg balloon carrying a 22-1

The pulley in Fig. 9.35 has radius R and a moment of inertia l. The rope does not slip over the pulley, and the pulley spins on a frictionless axle. The coefficient of kinetic friction between block...

A dentist wants a small mirror that, when 2.20 cm from a tooth, will produce a 4.5 x upright image. What kind of mirror must be used and what must its radius of curvature be?

In Figure, a force F of magnitude 12 N is applied to a FedEx box of mass m2 = 1.0 kg. The force is directed up a plane tilted by = 37o. The box is connected by a cord to a UPS box of mass m1 = 3.0...

A uniform rod of weight Fg and length L is supported at its ends by a frictionless trough as shown in Figure P12.52. (a) Show that the center of gravity of the rod must be vertically over point O...

Two infinite, non-conducting sheets of charge are parallel to each other, as shown in Figure P24.62. The sheet on the left has a uniform surface charge density a, and the one on the right has a...

Consider an electron near the Earths equator. In which direction does it tend to deflect if its velocity is directed? (a) Downward, (b) Northward, (c) Westward, or (d) Southeastward?

A convex spherical mirror with a focal length of magnitude 24.0cm is placed 20.0fm to the left of a plane mirror. An object 0.250cm tall is placed midway between the surface of the plane mirror and...

A flywheel with a radius of 0.300 m starts from rest and accelerates with a constant angular acceleration of 0.600 rad/s2, compute the magnitude of the tangential acceleration, the radial...

The two trees in Fig. 9-58 are 7.6m apart. A back packer is trying to lift his pack out of the reach of bears. Calculate the magnitude of the force F that he must exert downward to hold a 19-kg...

(a) In electron-volts, how much work does an ideal battery with a 12.0 V emf do on an electron that passes through the battery from the positive to the negative terminal? (b) If 3.40 x 1018 electrons...

Figure gives the path of a squirrel moving about on level ground, from point A (at time t = 0), to points B (at t = 5.00 min), C (at t =10.0 min), and finally D (at t = 15.0 min). Consider the...

For the data listed, tabulate cut, fill, and cumulative volumes in cubic yards between stations 10 + 00 and 20 + 00. Use an expansion factor of 1.30 for fills. End Area (ft) Station Cut Fill 10 + 00...

The Nobel laureate Richard Feynman once said that if two persons stood at arms length from each other and each person had 1% more electrons than protons, the force of repulsion between them would be...

A man is dragging a trunk up the loading ramp of a mover's truck. The ramp has a slope angle of 20.00, and the man pulls upward with a force F whose direction makes an angle of 30.0o with the ramp...

Two boxes, m1 = 1.0kg with a coefficient of kinetic friction of 0.10, and m2 = 2.0kg with a coefficient of 0.20, are placed on a plane inclined at 0 = 30o. (a) What acceleration does each box...

For the potential energy curve shown in Figure (a) Determine whether the force Fx is positive, negative, or zero at the five points indicated. (b) Indicate points of stable, unstable, and neutral...

Three identical point charges q are placed at each of three corners of a square of side L. Find the magnitude and direction of the net force on a point charge - 3q placed (a) At the center of the...

Figure shows a circuit of four resistors that are connected to a larger circuit. The graph below the circuit shows the electric potential V(x) as a function of position x along the lower branch of...

One pound-mass of water fills a 2.4264-ft3 weighted piston-cylinder device at a temperature of 600oF. The piston-cylinder device is now cooled until its temperature is 200oF. Determine the final...

A passenger with mass 85 kg rides in a Ferris wheel like that in Example 5.24 (Section 5.4). The seats travel in a circle of radius 35 m. The Ferris wheel rotates at constant speed and makes one...

The chocolate crumb mystery explosions ignited by electrostatic discharges (sparks) constitute a serious danger in facilities handling grain or powder. Such an explosion occurred in chocolate crumb...

A 8.00.kg block of ice, released from rest at the top of a 1.50-m-long frictionless ramp, slides downhill, reaching a speed of 2.50 m/s at the bottom. (a) What is the angle between the ramp and the...

On a very muddy football field, a 110-kg linebacker tackles an 85-kg halfback. Immediately before the collision, the linebacker is slipping with a velocity of 8.8 m/s north and the halfback is...

SHM in a Car Engine The motion of the piston of an automobile engine (Fig. 13.35) is approximately simple harmonic. (a) If the stroke of an engine (twice the amplitude) is 0.100 m and the engine runs...

A brass sleeve S is fitted over a steel bolt B (see figure), and the nut is tightened until it is just snug. The bolt has a diameter dB = 25 mm, and the sleeve has inside and outside diameters d1 =...

In a Fourth of July celebration, a firecracker is launched from ground level with an initial velocity of 25.0 m/s a! 30.00 From the vertical. At its maximum height it explodes in a starburst into...

A small glider is placed against a compressed spring at the bottom of an air track that slopes upward at an angle of 40.0o above the horizontal. The glider has mass 0.0900 kg. The spring has k = 640...

An 1150-kg car pulls a 450-kg trailer. The car exerts a horizontal force of 3.8 x 103 N against the ground in order to accelerate. What force does the car exert on the trailer? Assume an effective...

Static magneto conductivity tensor for the drift velocity theory of (51), show that the static current density can be written in matrix form as in the high magnetic field limit of w c ? >> 1, show...

A diffraction grating has 6.0 x 10-7m lines/m. Find the angular spread in the second-order spectrum between red light of wavelength 7.0 x 10-7 m and blue light of wave length 4.5 x 10-7m.

A projectile of mass m moves to the right with a speed vi (Fig. P11.50a). The projectile strikes and sticks to the end of a stationary rod of mass M, length d, pivoted about a frictionless axle...

An uncharged non-conducting hollow sphere of radius 10.0 cm surrounds a 10.0-%C charge located at the origin of a cartesian coordinate system. A drill with a radius of 1.00 mm is aligned along the z...

A beam of protons travelling at 1.20 km/s enters a uniform magnetic field, travelling perpendicular to the field. The beam exits the magnetic field, leaving the field in a direction perpendicular to...

A rigid ball traveling in a straight line (the x-axis) hits a solid wall and suddenly rebounds during a brief instant. The v,-t graph in Fig. 2.46 shows this hall's velocity as a function of time....

Displacement d1 is in the yz plane 63.0o from the positive direction of the y axis, has a positive z component, and has a magnitude of 4.50 m. Displacement d2 is in the xz plane 30.0o from the...

How many times will the incident beam shown in Figure P35.8 be reflected by each of the parallel mirrors? Mirror Mirror 1.00 m Incident beam 5.00 1.00 m

A particle is to move in an xy plane, clockwise around the origin as seen from the positive side of the z axis. In unit vector notation, what torque acts on the particle if the magnitude of its...

Repeat Problem 14 for the case when two of the positive charges, on opposite comers, are replaced by negative charges of the same magnitude (Fig. 16-51) -6.00 mC 0.100 m 6.00 mC 0.100 m 0.100 m 6.00...

Diffraction and Interference Combined. Consider the interference pattern produced by two parallel slits of width a and separation d, in which d = 3a. The slits are illuminated by normally incident...

A transparent rod 30.0 cm long is cut flat at one end and rounded to a hemispherical surface of radius 10.0 cm at the other end. A small object is embedded within the rod along its axis and halfway...

A Sand scorpion can detect the motion of a nearby beetle (its prey) by the waves the motion sends along the sand surface (Figure). The waves are of two types: transverse waves traveling at vt = 50m/s...

The pitcher in a slow-pitch softball game releases the ball at a point 3.0 ft above ground level. A stroboscopic plot of the position of the ball is shown in Figure, where the readings are 0.25 s...

John William Strutt, Lord Rayleigh (18421919), is known as the last person to understand all of physics and all of mathematics. He invented an improved foghorn. To warn ships of a coastline, a...

Spymaster Paul, flying a constant 215 km/h horizontally in a low-flying helicopter, wants to drop secret documents into his contacts open car which is traveling 155km/h on a level highway 78.0 below....

Figure 7 -30 shows an overhead view of three horizontal forces acting on a cargo canister that was initially stationary but now moves across a frictionless floor. The force magnitudes are F1 = 3.00...

A vertical electric field of magnitude 2.00 x 104 N/C exists above the Earths surface on a day when a thunderstorm is brewing. A car with a rectangular size of 6.00 m by 3.00 m is traveling along a...

Neutron Stars and Super nova Remnants the Crab Nebula is a cloud of glowing gas about 10 light-years across, located about 6500 light years from the earth (Fig. 9.39). It is the remnant of a star...

Apply Gauss's law to the Gaussian surfaces S2, S3, and S4 in Fig. 22.21b to calculate the electric field between and outside the plates.

Consider the two waves shown in Fig. 12-31. Each wave can be thought of as a superposition of two sound waves with slightly different frequencies of two sound waves with slightly different...

Microwave Oven, the microwaves in a certain microwave oven have a wavelength of 12.2cm. (a) How wide must this oven be so that it will contain five anti-nodal planes of the electric field along its...

Two 2.00 kg balls are attached to the ends of a thin rod of length 50.0 cm and negligible mass. The rod is free to rotate in a vertical plane without friction about a horizontal axis through its...

A place-kicker must kick a football from a point 36.0 m (about 40 yards) from the goal, and half the crowd hopes the ball will clear the crossbar, which is 3.05 m high. When kicked, the ball leaves...

Light Bulbs in Series and in Parallel Two light bulbs have resistances of 400 and 800 . If the two light bulbs are connected in series across a 120-V line, find (a) The current through each bulb; (b)...

A negative muon traveling at 33% the speed of light collides head on with a positive muon traveling at 50% the speed of light. The two muons (each of rest mass 105.7MeV/c2) Annihilate, and produce...

A rifle bullet with mass 8.00 g strikes and embeds itself in a block with mass 0.992 kg that rests on a frictionless, horizontal surface and is attached to a coil spring (Fig. 8.43). The impact...

A sinusoidal wave is described by y = (0.25 m) sin (0.30x 40t) where x and y are in meters and t is in seconds. Determine for this wave the (a) amplitude, (b) angular frequency, (c) angular wave...

Magnetic Balance The circuit shown in figure used to make a magnetic balance to weigh objects. The mass m to be measured is hung from the center of the bar that is in a uniform magnetic field of 1.50...

A model airplane of mass 0.750 kg flies in a horizontal circle at the end of a 60.0-m control wire, with a speed of 35.0 m/s. Compute the tension in the wire if it makes a constant angle of 20.0°...

The center of gravity of loaded truck depends on how the truck is packed. If it is 4.0 m high and 2.4 m wide, and its CG is 2.2m above the ground, how steep a slope be parked on without tipping over...

In Figure water flows steadily from the left pipe section (radius r1 = 2.00R), through the middle section (radius R), and into the right section (radius r3 = 3.00R). The speed of the water in the...

Determine flow rates in the branching pipe system depicted in Figure P4.3.2 given the following water surface (WS) elevation and pipe data (lengths and diameters): .. All of the pipes are lined...

A4.50-kg toy cart undergoes an acceleration in a straight line (the x-axis). The graph in Fig. 4.33 shows this acceleration as a function of time. (a) Find the maximum net force on this cart. When...

A spacecraft descends vertically near the surface of Planet X. An upward thrust of 25.0 kn from its engines slows it down at a rate of 1.20 m/S2, but it speeds up at a rate of 0.80 m}S2 with an...

An 8.0 kg object is moving in the positive direction of an x axis. When it passes through x = 0, a constant force directed along the axis begins to act on it. Figure gives its kinetic energy K versus...

A thrill-seeking cat with mass 4.00 kg is attached by a harness to an ideal spring of negligible mass and oscillates vertically in SHM. The amplitude is 0.050 m, and at the highest point of the...

A map suggests that Atlanta is 730 miles in a direction of 5.00 north of east from Dallas. The same map shows that Chicago is 560 miles in a direction of 21.0 west of north from Atlanta. Modeling the...

The speed of a moving bullet can be determined by allowing the bullet to pass through two rotating paper disks mounted a distance d apart on the same axle (Fig. P10.68). From the angular displacement...

A flexible chain weighing 40.0 N hangs between two hooks located at the same height (Fig. P12.19). At each hook, the tangent to the chain makes an angle θ= 42.0° with the horizontal. Find...

Figure shows an arrangement in which four disks are suspended by cords. The longer, top cord loops over a frictionless pulley and pulls with a force of magnitude 98 N on the wall to which it is...

A vacuum cleaner belt is looped over a shaft of radius 0.45 cm and a wheel of radius 2.00 cm. The arrangement of the belt, shaft, and wheel is similar to that of the chain and sprockets in Fig. 9.14....

The left end of a long glass rod 6.00cm in diameter has a convex hemispherical surface 3.00cm in radius. The refractive index of the glass is 1.60. Determine the position of the image if an object is...

Part of a single rectangular loop of wire with dimensions shown in Fig. 21-51 is situated inside a region of uniform magnetic field of 0.550 T. The total resistance of the loop is 0.230 Ω....

Two bumper cars in an amusement park ride collide elastically as one approaches the other directly from the rear (Fig. 7-34). Car A has a mass of 450 kg and car B 550kg, owing to differences in...

A railroad tie (or sleeper) is subjected to two rail loads, each of magnitude P = 175kN, acting as shown in the figure. The reaction of the ballast is assumed to be uniformly distributed over the...