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 circuit consists of a series combination of 6.00-k and S.00-k resistors connected across a 50.0-V battery having negligible internal resistance. You want to measure the true potential difference...

Express the following quantities using the prefixes given in Table 1.4: (a) 3 X 104 m (b) 5 X 105 s (c) 72 X 102 g

A sinusoidal sound wave is described by the displacement wave function s(x, t) = (2.00 m) cos[(15.7 m-1)x - (858 s-1)t] (a) Find the amplitude, wavelength, and speed of this wave. (b) Determine the...

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...

Hooke's Law for a Wire A wire of length 10 and cross-sectional Area A supports a hanging weight W. (a) Show that if the wire obeys Equation (11.7), it behaves like a spring of force constant AY/lo,...

Calculate the centripetal acceleration of the Earth in its orbit around the Sun, and the net force exerted on the Earth. What exerts this force on the Earth? Assume that the Earths orbit is a circle...

A persons left eye is corrected by a -3.50-diopter lens, 2.0 cm from the eye. (a) Is this persons left eye near- or farsighted? (b) What is this eyes far point without glasses?

Magnetic fields are very useful in particle accelerators for beam steering: that is, the magnetic field can be used to changes the beams direction without altering its speed (Fig. 20-69). Show how...

(i). At what angular frequency is the voltage amplitude across the resistor in an L-R-C series circuit at maximum value? (ii). At what angular frequency is the voltage amplitude across the inductor...

You drop a 2.00 kg book to a friend who stands on the ground at distance D = 10.0 m below. If your friend's outstretched hands are at distance d = 1.50m above the ground (Figure), (a) How much work...

A vessel at rest at the origin of an xy coordinate system explodes into three pieces. Just after the explosion, one piece, of mass m, moves with velocity (-30 m/s)i and a second piece, also of mass...

By measurement you determine that sound waves are spreading out equally in all directions from a point source and that the intensity is 0.026 W 1m2 at a distance of 4.3 m from the source. (a) What is...

A uniform thin film of material of refractive index 1.40 coats a glass plate of refractive index 1.55. This film has the proper thickness to cancel normally incident light of wavelength 525 nm that...

A hollow copper tube carries a current along its length. Why is B = 0 inside the tube? Is B nonzero outside the tube?

A particle moves in an elliptical orbit in an inverse-square-law central-force field. If the ratio of the maximum angular velocity to the minimum angular velocity of the particle in its orbit is n,...

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 satellite of mass 200 kg is placed in Earth orbit at a height of 200 km above the surface. (a) With a circular orbit, how long does the satellite take to complete one orbit? (b) What is the...

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...

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...

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.

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

You are driving home from school steadily at 95 km/h fro 130 km. It then begins to rain and you slow to 65 km/h. You arrive home after driving 3 hours and 20 minutes. (a) How far is your hometown...

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 disk of mass M and radius R rolls without slipping down a plane inclined from the horizontal by an angle a. The disk has short weightless axle of negligible radius. From this axis is suspended a...

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)...

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

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 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...

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 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) 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 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...

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...

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...

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...

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?

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) 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 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...

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 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...

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)...

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) 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 circular bar of magnesium alloy is 750 mm long. The stressstrain diagram for the material is shown in the figure. The bar is loaded in tension to an elongation of 6.0 mm, and then the load is...

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...

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...

A single link of a robot arm is shown in Figure. The arm mass is m and its center of mass is located a distance L from the joint, which is driven by a motor torque Tm through two pairs of spur gears....

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?

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...

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...

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.

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...

Find the capacitor voltage for t 0 for each of the circuits in Fig. 7.107. (a) (b) 3 2 12 v ( .) 4V 412 S F 6 A

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...

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...

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...

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...

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...

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...

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...

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...

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...

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....

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

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...

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...

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....

(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...

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 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?

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 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...

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...

(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...

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...

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...

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?

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...

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 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...

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...

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 technician measures the specific heat of an unidentified liquid by immersing an electrical resistor in it. Electrical energy is converted to heat transferred to the liquid for 120 s at a constant...

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 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 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?

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.

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 1.00-kg block of aluminum is heated at atmospheric pressure so that its temperature increases from 22.0C to 40.0C. Find (a) The work done on the aluminum, (b) The energy added to it by heat and (c)...

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...

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 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?...

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...

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

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...