What is the total gravitational potential energy of the three masses in Figure P13.35? 5.0 kg 20 cm 10.0 kg 20.0 kg 10 cm FIGURE P13.35

An object of mass m is dropped from height h above a planet of mass M and radius R. Find an expression for the objects speed as it hits the ground.

The unexplored planet Alpha Centauri III has a radius of 7.0 10 6 m. A visiting astronaut drops a rock, from rest, into a 100 m deep crevasse. She records that it takes 6.0 s for the rock to reach...

A 4000 kg lunar lander is in orbit 50 km above the surface of the moon. It needs to move out to a 300-km-high orbit in order to link up with the mother ship that will take the astronauts home. How...

FIGURE P13.57 shows two planets of mass m orbiting a star of mass M. The planets are in the same orbit, with radius r, but are always at opposite ends of a diameter. Find an exact expression for the...

FIGURE CP13.72 shows a particle of mass m at distance x from the center of a very thin cylinder of mass M and length L. The particle is outside the cylinder, so x > L/2. a. Calculate the...

Water flows through a 2.5-cm-diameter hose at 3.0 m/s. How long, in minutes, will it take to fill a 600 L childs wading pool?

A bucket is filled with water to a height of 23 cm, then a plug is removed from a 4.0-mm-diameter hole in the bottom of the bucket. As the water begins to pour out of the hole, how fast is it moving?

What does the top pressure gauge read in FIGURE EX14.30? 200 kPa 3.0 m/s 10 m Oil 2.0 m/s FIGURE EX14.30

A 2.0 mL syringe has an inner diameter of 6.0 mm, a needle inner diameter of 0.25 mm, and a plunger pad diameter (where you place your finger) of 1.2 cm. A nurse uses the syringe to inject medicine...

A 5.0-m-diameter solid aluminum sphere is launched into space. By how much does its diameter increase? Give your answer in m.

A U-shaped tube, open to the air on both ends, contains mercury. Water is poured into the left arm until the water column is 10.0 cm deep. How far upward from its initial position does the mercury in...

A plastic boat with a 25 cm 2 square cross section floats in a liquid. One by one, you place 50 g masses inside the boat and measure how far the boat extends below the surface. Your data are as...

The position of a 50 g oscillating mass is given by x(t) = (2.0 cm) cos(10 t - /4), where t is in s. Determine: a. The amplitude. b. The period. c. The spring constant. d. The phase constant. e. The...

The 3.0-m-long pipe in FIGURE P18.50 is closed at the top end. It is slowly pushed straight down into the water until the top end of the pipe is level with the waters surface. What is the length L of...

In the alternate universe, how fast must an object be moving for it to have a kinetic energy equal to its rest mass? (a) 225 m/s; (b) 260 m/s; (c) 300 m/s; (d) The kinetic energy could not be equal...

The mean free path of a molecule in a gas is 300 nm. What will the mean free path be if the gas temperature is doubled at (a) Constant volume (b) Constant pressure?

A heat engine running backward is called a refrigerator if its purpose is to extract heat from a cold reservoir. The same engine running backward is called a heat pump if its purpose is to exhaust...

What mass of aluminum has a total nuclear charge of 1.0 C? Aluminum has atomic number 13.

What is the force F on the 1.0 nC charge in Figure EX22.19? Give your answer as a magnitude and a direction. 1.0 nC 1.0 cm ,' 1.0 cm 60 60% 1.0 cm 2.0 nC 2.0 nC FIGURE EX22.19

Objects A and B are both positively charged. Both have a mass of 100 g, but A has twice the charge of B. When A and B are placed 10 cm apart, B experiences an electric force of 0.45 N. a. What is the...

What is the force F on the 1.0 nC charge at the bottom in FIGURE P22.45? Give your answer in component form. -6.0 nC 2.0 nC, 2.0 nC +) +. 5.0 cm, 45 45 , 5.0 cm +, 1.0 nC FIGURE P22.45

The identical small spheres shown in FIGURE CP22.75 are charged to +100 nC and -100 nC. They hang as shown in a 100,000 N/C electric field. What is the mass of each sphere? 10 10 50 cm 50 cm E 100 nC...

Reproduce FIGURE Q23.2 on your paper. For each part, draw a dot or dots on the figure to show any position or positions (other than infinity) where E = 0. a. b. +'+

What are the strength and direction of the electric field at the position indicated by the dot in FIGURE EX23.4? Specify the direction as an angle above or below horizontal. +) 3.0 nC 5.0 cm 10 cm...

The electric field strength 10.0 cm from a very long charged wire is 2000 N/C. What is the electric field strength 5.0 cm from the wire?

Two parallel plates 1.0 cm apart are equally and oppositely charged. An electron is released from rest at the surface of the negative plate and simultaneously a proton is released from rest at the...

a. An infinitely long sheet of charge of width L lies in the xy plane between x = -L/2 and x = L/2. The surface charge density is . Derive an expression for the electric field E along the x-axis for...

What is the net electric flux through the two cylinders shown in FIGURE EX24.16? Give your answer in terms of R and E. a. b. 2R 2R

A very long, uniformly charged cylinder has radius R and linear charge density . Find the cylinders electric field strength (a) Outside the cylinder, r R, (b) Inside the cylinder, r R. (c) Show...

A spherical ball of charge has radius R and total charge Q. The electric field strength inside the ball (r R) is E(r) = r 4 E max /R 4 . a. What is E max in terms of Q and R? b. Find an expression...

What is the electric potential energy of the group of charges in FIGURE EX25.7? -4.0 nC 3.0 nC + 3.0 cm 14.0 cm 3.0 nC FIGURE EX25.7

FIGURE EX25.10 shows the potential energy of an electric dipole. Consider a dipole that oscillates between ?60?. a. What is the dipole??s mechanical energy?b. What is the dipole??s kinetic energy...

Physicists often use a different unit of energy, the electron volt, when dealing with energies at the atomic level. One electron volt, abbreviated eV, is defined as the amount of kinetic energy...

In FIGURE EX25.26, a proton is fired with a speed of 200,000 m/s from the midpoint of the capacitor toward the positive plate. a. Show that this is insufficient speed to reach the positive plate.b....

a. What is the electric potential at points A, B, and C in FIGURE EX25.27? b. What are the potential differences ÎV AB = V B - V A and ÎV CB = V B - V C ? 2,0 cm, 1.0 cm +, 2.0 nC

Living cells pump singly ionized sodium ions, Na + , from the inside of the cell to the outside to maintain a membrane potential V membrane = V in - V out = - 70 mV. It is called pumping because work...

A room with 3.0-m-high ceilings has a metal plate on the floor with V = 0 V and a separate metal plate on the ceiling. A 1.0 g glass ball charged to +4.9 nC is shot straight up at 5.0 m/s. How high...

Honeybees acquire a charge while flying due to friction with the air. A 100 mg bee with a charge of +23 pC experiences an electric force in the earths electric field, which is typically 100 N/C,...

The electron drift speed is 2.0 10 -4 m/s in a metal with a mean time between collisions of 5.0 10 -14 s. What is the electric field strength?

A 2.0 10 -3 V/m electric field creates a 3.5 10 17 electrons/s current in a 1.0-mm-diameter aluminum wire. What are (a) The drift speed (b) The mean time between collisions for electrons in this...

The two segments of the wire in Figure EX27.24 have equal diameters but different conductivities Ï 1 and Ï 2 . Current I passes through this wire. If the conductivities have the ratio...

Wires 1 and 2 are made of the same metal. Wire 2 has twice the length and twice the diameter of wire 1. What are the ratios (a) 2 / 1 of the resistivities (b) R 2 /R 1 of the resistances of the two...

A thin metal cylinder of length L and radius R 1 is coaxial with a thin metal cylinder of length L and a larger radius R 2 . The space between the two coaxial cylinders is filled with a material that...

An oscillator circuit is important to many applications. A simple oscillator circuit can be built by adding a neon gas tube to an RC circuit, as shown in FIGURE CP28.83. Gas is normally a good...

What power is dissipated by the 2 resistor in FIGURE CP28.78? 15 VE 203 12 V FIGURE CP28.78

Large capacitors can hold a potentially dangerous charge long after a circuit has been turned off, so it is important to make sure they are discharged before you touch them. Suppose a 120 F capacitor...

The ammeter in FIGURE P28.52 reads 3.0 A. Find I 1 , I 2 , and . 9.0 V 3.0 ww- 2.0 ww A 3.0 A 1.0 FIGURE P28.52

What is the equivalent resistance between points a and b in FIGURE P28.45? 20 a 12 69 10 0 30 FIGURE P28.45

A 2.0-m-long, 1.0-mm-diameter wire has a variable resistivity given by where x is measured from one end of the wire. What is the current if this wire is connected to the terminals of a 9.0 V battery?...

Two 75 W (120 V) lightbulbs are wired in series, then the combination is connected to a 120 V supply. How much power is dissipated by each bulb?

It seems hard to justify spending $4.00 for a compact fluorescent lightbulb when an ordinary incandescent bulb costs 50. To see if this makes sense, compare a 60 W incandescent bulb lasting 1000...

FIGURE Q28.13 shows the voltage as a function of time of a capacitor as it is discharged (separately) through three different resistors. Rank in order, from largest to smallest, the values of the...

The five identical bulbs in FIGURE EX28.11 are all glowing.The battery is ideal. What is the order of brightness of the bulbs, from brightest to dimmest? Some may be equal. A. P = T > Q = R = SB. P >...

The five identical bulbs in FIGURE EX28.10 are all glowing.The battery is ideal. What is the order of brightness of the bulbs, from brightest to dimmest? Some may be equal. A. P = S > Q = R = TB. P =...

The circuit of FIGURE Q28.4 has two resistors, with R 1 > R 2 . Which of the two resistors dissipates the larger amount of power? Explain. R R2 FIGURE Q28.4

A circuit youre using discharges a 20 F capacitor through an unknown resistor. After charging the capacitor, you close a switch at t = 0 s and then monitor the resistor current with an ammeter. Your...

The capacitor in FIGURE P28.73 begins to charge after the switch closes at t = 0 s. a. What is V C a very long time after the switch has closed?b. What is Q max in terms of , R, and C?c. In this...

A proton and an antiproton collide head-on with equal kinetic energies. Two rays with wavelengths of 0.720 fm are produced. Calculate the kinetic energy of the incident proton.

Wastewater contaminated with 1,2,2-trichioroethane (C 2 H 3 C1 3 , molecular weight 133.5 g/gmole) will be treated in a counter current packed tower using contaminant-free air as the stripping gas....

An ozone (O 3 ) treatment system is proposed to oxidize organic materials from wastewater. The first step in this process is to dissolve O 3 in the wastewater. The wastewater has been stripped of all...

A packed tower, 2.0 ft in diameter and 4.0 ft in packed height, is used to produce a solution of dissolved oxygen in water for a biochemical process. The tower will be pressured to 5.0 atm with pure...

Beaver Brewing Corporation has received a contract to produce carbonated beverages. A packed-bed absorption tower will be used for dissolving carbon dioxide (CO 2 ) gas into water. In the present...

One advantage of the quantum dot is that, compared to many other fluorescent materials, excited states have relatively long lifetimes (10 ns). What does this mean for the spread in the energy of the...

What is the magnetic field at the position of the dot in FIGURE EX29.5? Give your answer as a vector. y (cm) 2.0 x 10' m/s 1 +) Proton -x (cm) -1 1 -1- FIGURE EX29.5

What is the magnetic field at the position of the dot in FIGURE EX29.6? Give your answer as a vector. y 1.0 cm 2.0 x 10" m/s 1.0 cm Proton FIGURE EX29.6

Point A in FIGURE EX29.15 is 2.0 mm from the wire. What is the magnetic field strength at point A? You can assume that the wire is very long and that all other wires are too far away to contribute to...

Magnetic resonance imaging needs a magnetic field strength of 1.5 T. The solenoid is 1.8 m long and 75 cm in diameter. It is tightly wound with a single layer of 2.0-mm-diameter superconducting wire....

The right edge of the circuit in FIGURE EX29.35 extends into a 50 mT uniform magnetic field. What are the magnitude and direction of the net force on the circuit? ww 10 cm 15 V 1- X B= 50 mT FIGURE...

At what distance on the axis of a current loop is the magnetic field half the strength of the field at the center of the loop? Give your answer as a multiple of R.

What is the magnetic field strength at the center of the semicircle in FIGURE P29.54? R FIGURE P29.54

An electron travels with speed 1.0 Ã 10 7 m/s between the two parallel charged plates shown in FIGURE P29.59. The plates are separated by 1.0 cm and are charged by a 200 V battery. What...

It is shown in more advanced courses that charged particles in circular orbits radiate electromagnetic waves, called cyclotron radiation. As a result, a particle undergoing cyclotron motion with...

a. Derive an expression for the magnetic field strength at distance d from the center of a straight wire of finite length l that carries current I. b. Determine the field strength at the center of a...

A flat, circular disk of radius R is uniformly charged with total charge Q. The disk spins at angular velocity about an axis through its center. What is the magnetic field strength at the center of...

A long, straight conducting wire of radius R has a nonuniform current density J = J 0 r/R, where J 0 is a constant. The wire carries total current I. a. Find an expression for J 0 in terms of I and...

A potential difference of 0.050 V is developed across the 10-cm-long wire of FIGURE EX30.2 as it moves through a magnetic field perpendicular to the page. What are the strength and direction (in or...

The maximum allowable potential difference across a 200 mH inductor is 400 V. You need to raise the current through the inductor from 1.0 A to 3.0 A. What is the minimum time you should allow for...

A 100 mH inductor whose windings have a resistance of 4.0 is connected across a 12 V battery having an internal resistance of 2.0 . How much energy is stored in the inductor?

The switch in FIGURE P30.76 has been open for a long time. It is closed at t = 0 s. What is the current through the 20 resistor a. Immediately after the switch is closed?b. After the switch has been...

The metal wire in FIGURE CP30.82 moves with speed v parallel to a straight wire that is carrying current I. The distance between the two wires is d. Find an expression for the potential difference...

Light from a helium-neon laser ( = 633 nm) illuminates a circular aperture. It is noted that the diameter of the central maximum on a screen 50 cm behind the aperture matches the diameter of the...

A triple-slit experiment consists of three narrow slits, equally spaced by distance d and illuminated by light of wavelength l. Each slit alone produces intensity I 1 on the viewing screen at...

FIGURE P33.36 shows the light intensity on a screen behind a double slit. The slit spacing is 0.20 mm and the wavelength of the light is 620 nm. What is the distance from the slits to the screen?...

A double-slit interference pattern is created by two narrow slits spaced 0.25 mm apart. The distance between the first and the fifth minimum on a screen 60 cm behind the slits is 5.5 mm. What is the...

a. Green light shines through a 100-mm-diameter hole and is observed on a screen. If the hole diameter is increased by 20%, does the circular spot of light on the screen decrease in diameter,...

The telecommunication circuit shown in FIGURE CP32.71 has a parallel inductor and capacitor in series with a resistor. a. Use a phasor diagram to show that the peak current through the resistor is b....

a. Show that the peak inductor voltage in a series RLC circuit is maximum at frequency b. A series RLC circuit with Ô 0 = 10.0 V consists of a 1.0 Ω resistor, a 1.0 μH...

A generator consists of a 12-cm by 16-cm rectangular loop with 500 turns of wire spinning at 60 Hz in a 25 mT uniform magnetic field. The generator output is connected to a series RC circuit...

FIGURE P32.47 shows a parallel RC circuit. a. Use a phasor-diagram analysis to find expressions for the peak currents I R and I C . b. Complete the phasor analysis by finding an expression for the...

Scientists in the laboratory create a uniform electric field E =1.0 10 6 kn V/m in a region of space where B = 0. What are the fields in the reference frame of a rocket traveling in the positive...

A rocket zooms past the earth at v = 2.0 10 6 m/s. Scientists on the rocket have created the electric and magnetic fields shown in FIGURE EX31.5. What are the fields measured by an earthbound...

A laser beam is incident on the left mirror in FIGURE EX34.8. Its initial direction is parallel to a line that bisects the mirrors. What is the angle Ï of the reflected laser beam? 80 FIGURE...

A 1.0-cm-thick layer of water stands on a horizontal slab of glass. A light ray in the air is incident on the water 60 from the normal. What is the rays direction of travel in the glass?

The glass core of an optical fiber has an index of refraction 1.60. The index of refraction of the cladding is 1.48. What is the maximum angle a light ray can make with the wall of the core if it is...

A camera has a circular aperture immediately behind the lens. Reducing the aperture diameter to half its initial value will A. Make the image blurry. B. Cut off the outer half of the image and leave...

An object is 60 cm from a screen. What are the radii of a symmetric converging plastic lens (i.e., two equally curved surfaces) that will form an image on the screen twice the height of the object?

Two immiscible Newtonian liquids flow steadily between two large parallel plates under the influence of an applied pressure gradient. The lower plate is fixed while the upper one is pulled with a...

Water enters a centrifugal pump axially at atmospheric pressure at a rate of 0.09 m 3 /s and at a velocity of 5 m/s, and leaves in the normal direction along the pump casing, as shown in Fig....

Water is flowing through a 10-cm-diameter water pipe at a rate of 0.1 m 3 /s. Now a diffuser with an outlet diameter of 20 cm is bolted to the pipe in order to slow down water, as shown in Fig....