A projectile is fired up an incline (incline angle ) with an initial speed vi at an angle i with respect to the horizontal (i > ), as shown in Figure P4.50. (a) Show that the projectile travels a...

In Fig the battery branch of the circuit is very far from the two horizontal segments containing two resistors. These horizontal segments are separated by 5.00 cm, and they are much longer than 5.00...

A ring of matter is a familiar structure in planetary and stellar astronomy. Examples include Saturns rings and a ring nebula. Consider a uniform ring of mass 2.36 X 1020 kg and radius 1.00 X 108 m....

An electromagnetic standing wave in air has frequency 75.0 MHz. (a) What is the distance between nodal planes of the E field? (b) What is the distance between a nodal plane of E and the closest nodal...

In an electric shaver, the blade moves back and forth over a distance of 2.0 mm in simple harmonic motion with frequency 120Hz find? (a) The amplitude, (b) The maximum blade speed, and (c) The...

A particle moves along a line where the potential energy of its system depends on its position r as graphed in Figure P8.46. In the limit as r increases without bound, U(r) approaches %1 J. (a)...

If the end of the cable at A is pulled down with a speed of 2 m/s, determine the speed at which block B rises. 2 m/s

An object is placed 18.0cm from a screen. (a) At what two points between object and screen may a converging lens with a 3.00-cm focal length be placed to obtain an image on the screen? (b) What is...

Two blocks of masses M and 3M are placed on a horizontal, frictionless surface. A light spring is attached to one of them, and the blocks are pushed together with the spring between them (Fig. P9.4)....

A 30.0-m steel wire and a 20.0-m copper wire both with 1.00-mm diameters, are connected end to end and stretched to a tension of 150 N. How long does it take a transverse wave to travel the entire...

Two radio antennas separated by 300 m as shown in Figure P37.3 simultaneously broadcast identical signals at the same wavelength. A radio in a car traveling due north receives the signals. (a) If the...

Stopping Distance a car is traveling on a level road with speed Vo at the instant when the brakes lock, so that the tires slide rather than roll. (a) Use the work-energy theorem to calculate the...

A small insect is placed 5.55 cm from a +6.00-cm focal-length lens. Calculate (a) The position of the image, and (b) The angular magnification.

Suppose our Sun eventually collapses into a white dwarf, losing about half its mass in the process, and winding up with a radius 1.0% of its existing radius. Assuming the lost mass carries away no...

A particle at rest is attracted toward a center of force according to the relation F = mk2/x3. Show that the time required for the particle to reach force center from a distance d is d2/k.

In Figure a uniform beam with a weight of 60 N and a length of 3.2m is hinged at its lower end, and a horizontal force F of magnitude 50 N acts at its upper end. The beam is held vertical by a cable...

Completed pass at Enormous State University (ESU), the football team records its plays using vector displacements, with the origin taken to be the position of the ball before the play starts. In a...

A 950-kg car strikes a huge spring at a speed of 22m/s (Fig. 11-54), compressing the spring 5.0 m. (a) What is the spring stiffness constant of the spring? (b) How long is the car in contact with the...

1. A metal casting displaces 327 cm3 of water. Find the buoyant force of the water. 2. A piece of metal displaces 657 cm3 of water. Find the buoyant force of the water. 3. A metal casting displaces...

A +6.00-C point charge is moving at a constant 8.00 X 106 m/s in the +y-direction, relative to a reference frame. At the instant when the point charge is at the origin of this reference frame. What...

A quartz sphere is 8.75 cm in diameter. What will be its change in volume if it is heated from 30oC to 200oC?

A backpack full of books weighing 52.0 N rests on a table in a physics laboratory classroom. A spring with a force constant of 150 N/m is attached to the backpack and pulled horizontally, as...

A 2.50-kg mass is pushed against a horizontal spring of force constant 25.0 N/cm on a frictionless air table. The spring is attached to the tabletop, and the mass is not attached to the spring in any...

One end of an insulated metal rod is maintained at 100.0oC, and the other end is maintained at 0.00oC by an ice-water mixture. The rod is 60.0 cm long and has a cross-sectional area of 1.25 cm2. The...

Lurking alligators an alligator waits for prey by floating with only the top of its head exposed, so that the prey cannot easily see it. One way it can adjust the extent of sinking is by controlling...

Earth's atmosphere is constantly bombarded by cosmic ray protons that originate somewhere in space. If the protons all passed through the atmosphere, each square meter of Earth's surface would...

An electron is moved from point A to point B and then to point C along two legs of an equilateral triangle with sides of length 0.25 m (Fig. 16.23). If the horizontal electric field is 15 V/m, (a)...

Two workers poll horizontally on a heavy box, but one pulls twice as hard as the other. The larger pull is directed at 25.0 west of north, and the resultant of these two pulls is 350.0 N directly...

A 15.0- resistor and a coil are connected in series with a 6.30-V battery with negligible internal resistance and a closed switch. (a) At 200 ms after the switch is opened the current has decayed to...

Gold has 5.82 108 vacancies/cm3 at equilibrium at 300 K. What fraction of the atomic sites is vacant at 600 K?

Knowing that the pulley has a radius of 75 mm, determine the components of the reactions at A and B. 125 mm C 75 mm 300 mm300 mm 240 N

In Figure a 15 kg block is held in place via a pulley system. The person's upper arm is vertical; the forearm is at angle 0 = 30? with the horizontal. Forearm and hand together have a mass of 2.0 kg,...

Two blocks connected by a cord passing over a small, frictionless pulley rest on frictionless planes (Fig. 5.70). (a) Which way will the system move when the blocks are released from rest? (b) What...

Two positive point charges, each of magnitude q, are fixed on the y-axis at the points y = +a and y = -a. Take the potential to be zero at an infinite distance from the charges. (a) Show the...

In the circuit in Fig. the capacitors are all initially uncharged, the battery has no internal resistance, and the ammeter is idealized. Find the reading of the ammeter (a) Just after the switch S is...

Figure employs a convention often used in circuit diagrams. The battery (or other power supply) is not shown explicitly. It is understood that the point at the top, labeled 36.0 V, is connected to...

Calculate the pressure drop per cm along the aorta using the data of Example 10-11 and Table 10-3.

X rays with initial wavelength 0.0665 nm undergo Compton scattering. What is the longest wavelength found in the scattered x rays? At which scattering angle is this wavelength observed?

A diver of weight 580 N stands at the end of a diving board of length L = 4.5 m and negligible mass (Figure). The board is fixed to two pedestals separated by distance d = 1.5 m. Of the forces acting...

(a) A uniformly charged cylindrical shell has total charge Q, radius R, and height h. Determine the electric potential at a point a distance d from the right end of the cylinder, as shown in Figure...

Four identical masses of 800 kg each are placed at the corners of a square whose side length is 10.0 cm. What is the net gravitational force (magnitude and direction) on one of the masses, due to the...

Four electrons are located at the comers of a square 10.0 nm on a side, with an alpha particle at its midpoint. How much work is needed to move the alpha particle to the midpoint of one of the sides...

Police investigators, examining the scene of and accident involving two cars, measure 72-m-long skid marks of one of the cars, which nearly came to a stop before colliding the coefficient of kinetic...

A + 33 μC point charge is placed 36cm from an identical + 33μC charge. A 1.5μC charge is moved from point a to point b in Fig. 17-34. What is the change in potential energy? 14 em 24 cm 12 cm

A firefighter who weighs 712 N slides down a vertical pole with an acceleration of 3.00 m/s2, directed downward. What are the (a) Magnitude and (b) Direction (up or down) of the vertical force on the...

A big olive (m = 0.50 kg) lies at the origin of an xy coordinate system, and a big Brazil nut (M = 1.5 kg) lies at the point (1.0, 2.0) m. At t = 0, a force Fo = (2.0i + 3.0j) N begins to act on the...

In Figure two isotropic point sources of light (S1 and S2) are separated by distance 2.70 m along a y axis and emit in phase at wavelength 900 nm and at the same amplitude. A light detector is...

A village maintains a large tank with an open top, containing water for emergencies. The water can drain from the tank through a hose of diameter 6.60 cm. The hose ends with a nozzle of diameter 2.20...

An airplane pilot wishes to fly due west. A wind of80.0 km/h (about 50 mi/h) is blowing toward the south. (a) If the airspeed of the plane (its speed in still air) is 320.0 km/h (about 200 mi/h), in...

Determine the direction and magnitude of the electric field at the point P shown in Fig. 16-59. The two charges are separated by a distance of 2a. Point P is on the perpendicular bisector of the line...

A helicopter lifts a72 kg astronaut 15 m vertically from the ocean by means of a cable. The acceleration of the astronaut is g/10. How much work is done on the astronaut by? (a) The force from the...

A 700 g block is released from rest at height h0 above a vertical spring with spring constant k = 400 N/m and negligible mass. The block sticks to the spring and momentarily stops after compressing...

A 60-kg house painter stands on a 15-kg aluminum platform. The platform is attached to a rope that passes through an overhead pulley, which allows the painter to raise herself and the platform...

A 40.0-mA current is carried by a uniformly wound air-core solenoid with 450 turns, a 15.0-mm diameter, and 12.0-cm length. Compute (a) The magnetic field inside the solenoid, (b) The magnetic flux...

A 1.80-kg connecting rod from a car engine is pivoted about a horizontal knife edge as shown in Fig. 13.33. The center of gravity of the rod was located by balancing and is 0.200 m from the pivot....

The inner cylinder of a long, cylindrical capacitor has radius ra and linear charge density + . It is surrounded by a coaxial cylindrical conducting shell with inner radius rb and linear charge...

Two blocks of mass 3.50 kg and 8.00 kg are connected by a Mass less string that passes over a frictionless pulley (Fig.P5.68). The inclines are frictionless. Find (a) the magnitude of the...

A constant friction force of 25N acts on a 65-kg skier for 20s. What is the skiers change in velocity?

Two slits spaced 0.260 mm apart are placed 0.700 m from a screen and illuminated by coherent light with a wavelength of 660mm. The intensity at the center of the central maximum ( = 0o) is I0. (a)...

(a) Draw the shear and bending-moment diagrams for beam AB, (b) Determine the magnitude and location of the maximum absolute value of the bending moment. 300 lb/ft 300 lb

Use the methods of Challenge Problem 8.113 to calculate the x- and y-coordinates of the center of mass of a semicircular metal plate with uniform density p and thickness t. Let the radius of the...

Calculate the moments of inertia I1, I2, and I3, for a homogeneous ellipsoid of mass M with axes lengths 2a > 2b > 2c.

A garden hose with an internal diameter of 1.9 cm is connected to a (stationary) lawn sprinkler that consists merely of a container with 24 holes, each 0.13 cm in diameter. If the water in the hose...

(a) If the maximum acceleration that is tolerable for passengers in a subway train is 1.34 m/s2 and subway stations are located 806 m apart, what is the maximum speed a subway train can attain...

For the spring assemblage shown in Figure P2-2, determine the displacement at node 2 and the forces in each spring element. Also determine the force F3. Given: Node 3 displaces an amount...

A uniform marble rolls without slipping down the path shown in Fig. 10.59, starting from rest. (a) Find the minimum height h required for the marble not to fall into the pit. (b) The moment of...

A professional diver performs a dive from a platform 10 m above the water surface. Estimate the order of magnitude of the average impact force she experiences in her collision with the water. State...

Traffic Court you are called as an expert witness in the trial of a traffic violation. The facts are these: A driver slammed on his brakes and came to a stop with constant acceleration. Measurements...

Asteroid Collision Two asteroids of equal mass in the asteroid belt between Mars and Jupiter collide with a glancing blow. Asteroid A, which was initially traveling at 40.0 m/s, is deflected 30.0"...

Holding Up Under Stress. A string or rope will break apart if it is placed under too much tensile stress [Eq. (11.8)]. Thicker ropes can withstand more tension without breaking because the thicker...

A rectangular plate has a length of (21.3 0.2) cm and a width of (9.8 0.1) cm. Calculate the area of the plate, including its uncertainty.

In Figure, a block of mass m = 5.00kg is pulled along a horizontal frictionless floor by a cord that exerts a force of magnitude F = 12.0 N at an angle = 25.0o. (a) What is the magnitude of the...

A child whose weight is 267 N slides down a 6.1 m playground slide that makes an angle of 20 o with the horizontal. The coefficient of kinetic friction between slide and child is 0.10. (a) How much...

Consider a conical pendulum with an 80.0-kg bob on a 10.0-m wire making an angle of 5.00° with the vertical (Fig. P6.9). Determine (a) the horizontal and vertical components of the force exerted...

A non-uniform magnetic field exerts a net force on a magnetic dipole. A strong magnet is placed under a horizontal conducting ring of radius r that carries current I as shown in Figure P29.17. If the...

(a) If the position of a particle is given by x - 20t - 5t3, where x is in meters and t is in seconds, when, if ever, is the particle's velocity zero? (b) When is its acceleration a zero? (c) For...

The chocolate crumb mystery. This story begins with Problem 60 in Chapter 23. As part of the investigation of the biscuit factory explosion, the electric potentials of the workers were measured as...

A solid cylinder (radius = 0.150 m, height = 0.120 m) has a mass of 7.00 kg. This cylinder is floating in water. Then oil ( = 725 kg/m3) is poured on top of the water until the situation shown in the...

A simple beam AB is loaded by two segments of uniform load and two horizontal forces acting at the ends of a vertical arm (see figure). Draw the shear-force and bending-moment diagrams for this beam....

Calculate the capacitor voltage for t 0 for each of the circuits in Fig. 7.106. (a) (b) 4 2 20 V 2 F 2 A 12 V 3

An earth satellite of mass 700 kg is launched into a free-flight trajectory about the earth with an initial speed of vA = 10 km/s when the distance from the center of the earth is tA = 15 Mm. if the...

You are designing a diving bell to withstand the pressure of seawater at a depth of 250 m. (a) What is the gauge pressure at this depth? (You can ignore changes in the density of the water with...

Two stationary point charges +3.00 nC and +2.00 nC are separated by a distance of 50.0 cm. An electron is released from rest at a point midway between the two charges and moves along the line...

A small city requires about 10 MW of power. Suppose that instead of suing high-voltage lines to supply the power, the power is delivered at 120V. Assuming a two wire line of 0.50-cm-diamter copper...

A small block on a frictionless, horizontal surface has a mass of 0.0250 kg. It is attached to a mass less cord passing through a bole in the surface (Fig. 10.48). The block is originally revolving...

Two 2.0kg bodies, A and B, collide. The velocities before the collision are vA = (15i + 30i) m/s and vA = (-10i + 5.0j) m/s. After the collision, vA = (-5.0i + 20j)m/s what are? (a) The final...

By injecting an electron beam normally to the plane edge of a uniform field Boaz, electrons can be dispersed according to their velocity as in figure.(a) Show that the electrons would be ejected out...

On planet Tehar, the free-fall acceleration is the same as that on Earth but there is also a strong downward electric field that is uniform close to the planets surface. A 2.00-kg ball having a...

A positive charge q is fixed at the point x = 0, y = 0, and a negative charge - 2q is fixed at the point x = a, y = 0. (a) Show the positions of the charges in a diagram. (b) Derive an expression for...

The wings of a certain beetle have a series of parallel lines across them. When normally incident 460-nm light is reflected from the wing, the wing appears bright when viewed at an angle of 51o. How...

Curvature of the Cornea In a simplified model of the human eye, the aqueous and vitreous humors and the lens all have a refractive index of 1.40, and all the refraction occurs at the Exercises 1201...

The positive muon (+), an unstable particle, lives on average 2.20 x 10-6 s (measured in its own frame of reference) before decaying. (a) If such a particle is moving, with respect to the laboratory,...

In Figure, a box of Cheerios (mass m C? = 1.0kg) and a box of Wheaties (mass m W ? = 3.0kg) are accelerated across a horizontal surface by a horizontal force f applied to the Cheerios box. The...

In Figure two radio-frequency point sources S1 and S2, separated by distance d = 2.0m, are radiating in phase with = 0.50 m. A detector moves in a large circular path around the two sources in a...

An ideal gas is enclosed in a cylinder that has a movable piston on top. The piston has a mass m and an area A and is free to slide up and down, keeping the pressure of the gas constant. How much...

An 8.00-kg point mass and a 15.0-kg point mass are held in place 50.0 cm apart. A particle of mass m is released from a point between the two masses 20.0 cm from the 8.00-kg mass along the line...

What error results if the curvature and refraction correction is neglected in trigonometric leveling for sights? (a) 3000 ft long (b) 500 m long (c) 5000 ft long

A 3.0 kg body is at rest on a frictionless horizontal air track when a constant horizontal force F acting in the positive direction of an x axis along the track is applied to the body. A stroboscopic...

Find the force exerted on the strut by the hinge at A for the arrangement in Figure if (a) The strut is weightless, and (b) The strut weighs 20N. 45 60 N

A ball having mass m is connected by a strong string of length L to a pivot point and held in place in a vertical position. A wind exerting constant force of magnitude F is blowing from left to right...