If the girl throws the ball with a horizontal velocity of 8 ft/s, determine the distance d so that the ball bounces once on the smooth surface and then lands in the cup at C. take e = 0.8 3 ft

A glass vial containing a 16.0-g sample of an enzyme is cooled in an ire bath. The bath contains water and 0.120 kg of ice. The sample has specific heat 2250J/kg' K; the glass vial has mass 6.00 g...

A proton (m = 1.67 X 10-27 kg) is suspended at rest in a uniform electric field E. Take into account gravity at the Earths surface, and determine E.

A series ac circuit contains a 250- resistor, a 15-mH inductor, a 3.5-F capacitor and an ac power source of voltage amplitude 45 V operating at an angular frequency of 360rad/s, (a) What is the power...

(a) Make a chart showing all the possible sets of quantum numbers I and m, for the states of the electron in the hydrogen atom when n = 5. How many combinations are there? (b) What are the energies...

A boat is traveling upstream in the positive direction of an x axis at 14 km/h with respect to the water of a river. The water is flowing at 9.0 km/h with respect to the ground. What are the (a)...

For the configuration shown in Figure P24.57, suppose that a = 5.00 cm, b = 20.0 cm, and c = 25.0 cm. Furthermore, suppose that the electric field at a point 10.0 cm from the center is measured to be...

The catapult of the aircraft carrier USS Abraham Lincoln accelerates an F/A-18 Hornet jet fighter from rest to a takeoff speed of 173 mi/h in a distance of 307 ft. Assume constant acceleration. (a)...

A uniform ball of radius R rolls without slipping between two rails such that the horizontal distance is d between the two contact points of the rails to the hall. (a) In a sketch, show that at any...

The Sizes of Stars. The hot glowing surfaces of stars emit energy in the form of electromagnetic radiation. It is a good approximation to assume e = 1 for these surfaces. Find the radii of the...

A disk rolls without slipping across a horizontal plane. The plane of the disk remains vertical, but it is free to rotate about a vertical axis. What generalized coordinates may be used to describe...

An iron rod of length L and square cross section (side a), is given a uniform longitudinal magnetization M, and then bent around into a circle with a narrow gap (width w). as shown in Fig. 6.14. Find...

In Figure a horizontal force Fa of magnitude 20.0 N is applied to a 3.00 kg psychology book as the book slides a distance d = 0.500m up a frictionless ramp at angle g = 30.0o. (a) During the...

As a certain sound wave travels through the air, it produces pressure variations (above and below atmospheric pressure) given by P = 1.27 sin (x 340t) in SI units. Find (a) The amplitude of the...

An automobile tire has a volume of 0.0150 m3 on a cold day when the temperature of the air in the tire is 5.0oC and atmospheric pressure is 1.02 aims. Under these conditions the gauge pressure is...

Determine the magnitude and direction of the currents through R1 and R2 in Fig 19-47. V =9.0 V R=22 2 = 22 2 R2 = 15 2 V3 = 6.0 V

A 550-turn solenoid is 15cm long. The current in it is 33 A. A 3.0-cm-long straight wire cuts through the center of the solenoid, along a diameter. This wire carries a 22-A current downward (and is...

Figure shows block 1 of mass 0.200 kg sliding to the right over a frictionless elevated surface at a speed of 8.00 m/s. The block undergoes an elastic collision with stationary block 2, which is...

A spherical planet has uniform density P Show that the minimum period for a satellite in orbit around it is Tmin = 3/Gp independent of the radius of the planet.

A soap film (n = 1.33) is contained within a rectangular wire frame. The frame is held vertically so that the film drains downward and forms a wedge with flat faces. The thickness of the film at the...

Twenty people participate in a tug-of-war. The two teams of ten people are so evenly matched that neither team wins. After the game they notice that a car is stuck in the mud. They attach the...

A homeowner is considering these heating systems for heating his house: Electric resistance heating with $0.12/ kWh and 1 kWh 5 3600 kJ, gas heating with $1.24/therm and 1 therm 5 105,500 kJ, and oil...

A hailstone of mass 4.80 x 10-4 kg falls through the air and experiences a net force given by F = mg + Cv2 Where C = 2.50 x 10-5 kg/m. (a) Calculate the terminal speed of the hailstone. (b) Use...

Find the net torque on the wheel in Figure P10.31 about the axle through O if a =10.0 cm and b = 25.0 cm. 0.0 N 0.0a 2 12.0 N 9.00 N Figure P10.31

A bowling ball weighs 71.2 N (16.0 Ib). The bowler applies a horizontal force of 160 N (36.0 lb) to the ball. What is the magnitude of the horizontal acceleration of the ball?

At t = 0 a grinding wheel has an angular velocity of 24.0 rad/s. It has a constant angular acceleration of 30.0 rad/s3 until a circuit breaker trips at t = 2.00 s. From then on, it turns through 432...

Mini Black Holes Cosmologists have speculated that black holes the size of a proton could have formed during the early days of the Big Bang when the universe began. If we take the diameter of a...

Calculate the moments of inertia I1, I2, and I3, for a homogeneous cone of mass M whose height is h and whose base has a radius R. Choose the x3-axis along the axis of symmetry of the cone. Choose...

A circular hoop is suspended in a horizontal plane by three strings, each of length l, which are attached symmetrically to the hoop and are connected to fixed points lying in a plane above the hoop....

What is the thinnest film of a coating with n = 1.42 on glass (n = 1.52) for which destructive interference of the red component (650nm) of an incident white light beam in air can take place by...

Ionization of donors in a particular semi conductor there are 1013 donors/cm3 with an ionization energy Ed of 1meV and an effective mass 0.01m. (a) Estimate the concentration of conduction electrons...

An iron casting containing a number of cavities weighs 6000 N in air and 4000 N in water. What is the total volume of all the cavities in the casting? The density of iron (that is, a sample with no...

If the coefficient of static friction between a table and a uniform massive rope is x, what fraction of the rope can hang over the edge of the table without the rope sliding?

A simple harmonic oscillator consists of a 100-g mass attached to a spring whose force constant is 104 dyne/cm. The mass is displaced 3cm and released from rest. Calculate (a) The natural frequency...

238U decays spontaneously by a emission to 234Th. Calculate (a) The total energy released by this process and (b) The recoil velocity of the 234Th nucleus. The atomic masses are 238.050788 u for 238U...

(a) Assuming that water has a density of exactly 1g/cm 3 , find the mass of one cubic meter of water in kilograms. (b) Suppose that it takes 10.0 h to drain a container of 5700 m 3 of water. What is...

A charge of uniform linear density 2.0nC/m is distributed along a long, thin, non-conducting rod. The rod is coaxial with a long conducting cylindrical shell (inner radius = 5.0 cm, outer radius = 10...

(a) Estimate the liquefaction coefficient for helium by treating it as a van der Waals gas. Select the van der Waals coefficients a and b in such a way that fur one mole 2Wb is the actual molar...

A flat circle of radius 18cm is placed in a uniform electric field of magnitude 5.8 X 102N/C. What is the electric flux through the circle when its face is? (a) Perpendicular to the field lines, (b)...

Monochromatic light falls on a slit that is 2.60 x 10-3mm wide. If the angle between the first dark fringes on either side of the central maximum is 35.0o (dark fringe to dark fringe), what is the...

A polarizer and an analyzer are oriented so that the maximum amount of light is transmitted. To what fraction of its maximum value is the intensity of the transmitted light reduced when the analyzer...

The Tacoma Narrows Bridge, built across Puget Sound in Washington, formed a standing wave before it collapsed on November 7, 1940. As seen in the photo in Fig. (a) How many full wavelengths were...

A 12-m pole supports a horizontal cable CD and is held by a ball and socket at A and two cables BE and BF. Knowing that the tension in cable CD is 14 kN and assuming that CD is parallel to the x axis...

A force F is applied to a 2.O-kg m dio-controlled model car parallel to the x-axis as it moves along a straight track. The x-component of the force varies with the x-coordinate of the car as shown in...

An oil film (n = 1.45) floating on water is illuminated by white light at normal incidence. The film is 280 nm thick. Find (a) The color of the light in the visible spectrum most strongly reflected...

A brass rod with a length of 1.40 m and a cross-sectional area of 2.00 cm2 is fastened end to end to a nickel rod with length L and cross-sectional area 1.00 cm2. The compound rod is subjected to...

As a result of a temperature rise of 32 C o , a bar with a crack at its center buckles upward (Figure). If the fixed distance L 0 is 3.77 m and the coefficient of linear expansion of the bar is 25 x...

If an EDM instrument has a purported accuracy capability of (3 mm + 3 ppm), what error can be expected in a measured distance of? (a) 30 m (b) 1586.49 ft (c) 975.468 m (Assume that the instrument...

Suppose the conductivity of the material separating the cylinders in Ex. 7.2 is not uniform; specifically, (s) = k/s, for some constant k. Find the resistance between the cylinders.

At a particular temperature and pressure, a helium gas contains 5 10 25 atoms/m 3 . If a 10-kV/m field applied to the gas causes an average electron cloud shift of 10 8 m, find the dielectric...

A small object is attached to the end of a string to form a simple pendulum. The period of its harmonic motion is measured for small angular displacements and three lengths, each time clocking the...

An aluminum ring of radius r1 and resistance R is placed around the top of a long air-core solenoid with n turns per meter and smaller radius r 2 as shown in Figure P31.7. Assume that the axial...

An AM radio station broadcasts isotropically (equally in all directions) with an average power of 4.00 kW. A dipole receiving antenna 65.0 cm long is at a location 4.00 miles from the transmitter....

(a) Suppose you are at the earth's equator and observe a satellite passing directly overhead and moving from west to east in the sky. Exactly 12.0 hours later, you again observe this satellite to be...

A point charge of +5.00 C is located on the x-axis at x = 4.00 m, next to a spherical surface of radius 3.00 m centered at the origin. (a) Calculate the magnitude of the electric field at x = 3.00 m....

A nearsighted person has near and far points of 10.0 and 20.0 cm, respectively. If she puts on contact lenses with power P = -4.00 D. what are her new near and far points?

(c) Because of the internal resistance of the ring, the current through R at the time given in part (b) is only 3.00mA. Determine the internal resistance of the ring. (d) Determine the emf in the...

If the planes of a crystal are 3.50 A (1 A = 10-10 m = 1 Angstrom unit) apart, (a) What wavelength of electromagnetic waves is needed so that the first strong interference maximum in the Bragg...

Figure displays two circuits with a charged capacitor that is to be discharged through a resistor when a switch is closed. In Figure a, R 1 = 20.0? and C 1 = 5.00?F. In Figure b, R 2 = 10.0? and C 2...

A single isolated, large conducting plate (Fig.) has a charge per unit area σ on its surface. Because the plate is a conductor, the electric field at its surface is perpendicular to the surface...

A 5/8inch (inside) diameter garden hose is used to fill a round swimming pool 6.1 m in diameter. How long will it take to fill pool to a depth of 1.3mif water issues from the hose at a speed of 0.40...

A vertical spring with spring stiffness constant 305 N/m vibrates with an amplitude of 28.0cm when 0.260kg hangs from it. The mass passes through the equilibrium point (y = 0) with positive velocity...

Figure shows a stream of water flowing through a hole at depth h = 1.0 cm in a tank holding water to height H = 40 cm. (a) At what distance x does the stream strike the floor? (b) At what depth...

In Figure a fish watcher at point P watches a fish through a glass wall of a fish tank. The watcher is level with the fish; the index of refraction of the glass is 8/5, and that of the water rs 4/3....

A uniform electric field of magnitude 640 N/C exists between two parallel plates that are 4.00 cm apart. A proton is released from the positive plate at the same instant that an electron is released...

Ultra centrifuge find the required angular speed (in rev/min) of an ultracentrifuge for the radial acceleration of a point 2.50 cm from the axis to equal 400,000g (that is, 400,000 limes the...

Find the emfs E1 and E2 in the circuit of Fig, and find the potential difference of point b relative to point a. 1.00 N 20.0 V 6.00 N 1.00 A|| 1.00n & ww 4.00 0 ww 2.00 A || 1.000 Ez 2.00 0

Investigate the motion of a particle repelled by a force center according to the law F(r) = kr. Show that the orbit can only by hyperbolic.

A thick-walled wine goblet sitting on a table can be considered to be a hollow glass sphere with an outer radius of 4.00 cm and an inner radius of 3.40 cm. The index of refraction of the goblet glass...

A motorboat whose speed in still water is 2.60 m/s must aim upstream at an angle of 28.5o (with respect to a line perpendicular to the shore) in order to travel directly across the stream. (a) What...

A very long, cylindrical wire of radius R carries a current 10 uniformly distributed across the cross section of the wire. Calculate the magnetic flux through a rectangle that has one side of length...

Consider states with angular-momentum quantum number l = 2. (a) In units of h, what is the largest possible value of L? (b) In units of h, what is the value of L? Which is larger: L or the maximum...

A projectile is shot directly away from Earth's surface. Neglect the rotation of Earth. What multiple of Earth's radius Rs gives the radial distance a projectile reaches if (a) Its initial speed is...

A space traveler takes off from Earth and moves at speed 0.9900c toward the star Vega, which is 26.00ly distant. How much time will have elapsed by Earth clocks? (a) When the traveler reaches Vega...

An electric dipole is located along the y axis as shown in Figure P25.69. The magnitude of its electric dipole moment is defined as p =2qa. (a) At a point P, which is far from the dipole (r >> a),...

The plane of a 5.0 cm X 8.0 cm rectangular loop of wire is parallel to a 0.19-T magnetic field. The loop carries a current of 6.2 A. (a) What torque acts on the loop? (b) What is the magnetic moment...

A 1200-kg car has a maximum power output of 120hp. How steep a hill can it climb at a constant speed of 75km/h if the frictional forces add up to 650 N?

An asteroid of mass 1.0 x 105 kg, traveling at a speed of 30 km/s relative to the Earth, hits the Earth at the equator tangentially, and in the direction of Earths rotation. Use angular momentum to...

Figure shows an arrangement of four charged particles, with angle ? = 30.0o and distance d = 2.00 cm. Particle 2 has charge q2 = + 8.00 x 10-19 Ct particles 3 and 4 have charges q3 = q4 = ?? 1.60 x...

Bang! A student sits atop a platform a distance h above the ground. He throws a large firecracker horizontally with a speed v. However, a wind blowing parallel to the ground gives the firecracker a...

A uniform sphere with mass 60.0 kg is held with its center at the origin, and a second uniform sphere with mass 80.0 kg is held with its center at the point x = 0, Y = 3.00 m. (a) What are the...

An experimenter adds 970 J of heat to 1.75 mol of an ideal gas to heat it from 10.0oC to 25.0oC at constant pressure. The gas does +223 J of work during the expansion. (a) Calculate the change in...

A 15-cm-radius air duct is used to replenish the air of a room 9.2 m X 5.0 X 4.5m every 16 min. How fast does air flow in the duct?

A 4.0 kg bundle starts up a 30 o incline with 128 J of kinetic energy. How far will it slide up the incline if the coefficient of kinetic friction between bundle and incline is 0.30?

Figure shows, in cross section, three infinitely large non-conducting sheets on which charge is uniformly spread. The surface charge densities are ? 1 = +2.00pC/m 2 ? 2 = +4.00pC/m 2 , and ? 3 = ?...

An automobile whose speed is increasing at a rate of 0.600 m/s2 travels along a circular road of radius 20.0 m. When the instantaneous speed of the automobile is 4.00 m/s, find (a) The tangential...

A 50.0-m length of coaxial cable has an inner conductor that has a diameter of 2.58 mm and carries a charge of 8.10 C. The surrounding conductor has an inner diameter of 7.27 mm and a charge of -8.10...

Two-Dimensional Waves. A stretched string lies along the x-axis. The string is displaced along both the y- and z-directions, so that the transverse displacement of the string is given by Y(x, t) =...

If a 1500-kg car can accelerate from 35 km/h to 55km/g in 3.2s, how long will it take to accelerate from 55 km/g to 75 km/h? Assume the power stays the same, and neglect frictional losses.

Estimate the density of the water 6.0 km deep in the sea. (Se Table9-1 and Section 9-5 regarding bulk modulus.) By what fraction does it differ from the density at the surface?

Engineering a highway curve if a car goes through a curve too fast, the car tends to slide out of the curve. For a banked curve with friction, a frictional force acts on a fast car to oppose the...

The distance between the K+ and Cl ions in KCl is 2.80 1010 m. Calculate the energy required to separate the two ions to an infinite distance apart, assuming them to be point charges initially at...

(a) What do ethane and ethanol have in common? (b) How does 1-propanol differ from propane?

Find Req for the circuit in Fig. 2.94? Figure 2.94 For Prob. 2.30 6 6 Req 2 2

A small box is held in place against a rough wall by someone pushing on it with a force directed upward at 28o above the horizontal. The coefficients of static and kinetic friction between the box...

The active element of a certain laser is made of a glass rod 30.0 cm long by 1.50 cm in diameter. If the temperature of the rod increases by 65.0C, what is the increase in (a) Its length, (b) Its...

A cube of wood having an edge dimension of 20.0 cm and a density of 650 kg/m3 floats on water. (a) What is the distance from the horizontal top surface of the cube to the water level? (b) How much...

A walkway suspended across a hotel lobby is supported at numerous points along its edges by a vertical cable above each point and a vertical column underneath. The steel cable is 1.27 cm in diameter...

A traveling wave propagates according to the expression y = (4.0 cm) sin (2.0x 3.0t), where x is in centimeters and t is in seconds. Determine (a) The amplitude, (b) The wavelength, (c) The...

A 5.00-kg sack of flour is lifted vertically at a constant speed of 3.50 m/s through a height of 15.0 m. (a) How great a force is required? (b) How much work is done on the sack by the lifting force?...