A rectangular block, with face lengths a = 35 cm and b = 45cm, is to be suspended on a thin horizontal rod running through a narrow hole in the block. The block is then to be set swinging about the...

A 10.0-F parallel-plate capacitor is connected to a 12.0-V battery. After the capacitor is fully charged, the battery is disconnected without loss of any of the charge on the plates. (a) A voltmeter...

A deuteron (the nucleus of an isotope of hydrogen) has a mass of 3.34 X 10-27 kg and a charge of +e. The deuteron travels in a circular path with a radius of 6.96 mm in a magnetic field with...

Crossed E and B Fields A particle with initial velocity V0 = (5.85 X 10' m/s)j enters a region of uniform electric and magnetic fields. The magnetic field in the region is B = - (1.35 T) k. Calculate...

The Magnetic Field from a Lightning Bolt. Lightning bolts can carry currents up to approximately 20 kA. We can model such a current as the equivalent of a very long, straight wire. (a) If you were...

Just before it is struck by a racket, a tennis ball weighing 0.560 N has a velocity of (20.0 m/s)i - (4.0 m/s )J. During the 3.00 IDS that the racket and ball are in contact, the net force on the...

A person standing at the top of a hemispherical rock of radius R kicks a ball (initially at rest on the top of the rock) to give it horizontal velocity vi as in Figure P4.62. (a) What must be its...

1. A man is changing a flat tire using a tire iron that is 50.0 cm long. If he exerts a force of 53.0 N, how much torque (in N m) does he produce? 2. A torque of 81.0 lb ft is produced by a torque...

A skateboarder with his board can be modeled as a particle of mass 76.0 kg, located at his center of mass. As shown in Figure P8.67 on page 248, the skateboarder starts from rest in a crouching...

A 6000-Hz tone must have what sound level to seem as loud as a 100-Hz tone that has a 50-dB sound level? (See Fig. 12-6)

In Figure a block of mass m = 12 kg is released from rest on a frictionless incline of angle = 30o. Below the block is a spring that can be compressed 2.0 cm by a force of 270 N. The block...

A triangular array of resistors is shown in Fig. What current will this array draw from a 35.0-V battery having negligible internal resistance if we connect it across? (a) ab; (b) bc; (c) ac? (d) If...

X rays are produced in a tube operating at 18.0kV. After emerging from the tube, x rays with the minimum wavelength produced strike a target and are Compton-scattered through an angle of 45.0. (a)...

A 1.50-m cylinder of radius 1.10 cm is made of a complicated mixture of materials. Its resistivity depends on the distance x from the left end and obeys the formula p(x) = a + bx2, where a and b are...

A 0.450-kg ice puck, moving east with a speed of 3.00m/s, has a head-on collision with a 0.900-kg puck initially at rest. Assuming a perfectly elastic collision, what will be the speed direction of...

A 100 ft steel tape of cross-sectional area 0.0025 in.2, weight 2.3 lb, and standardized at 68F is 99.992 ft between end marks when supported throughout under a 12-lb pull. What is the true...

Calculate the magnitude and direction of the net gravitational force on the moon due to the earth and the sun when the moon is in each of the positions shown in Fig. 12.32. (Note that the figure is...

A Wheatstone bridge is type of bridge circuit used to make measurements of resistance. The unknown resistance to be measured, Rx, is placed in the circuit with accurately known resistances R1, R2,...

A double concave lens has surface radii of 34.2 cm and 23.8cm. What is the focal length if n = 1.52?

A 1500 kg car begins sliding down a 5.0o inclined road with a speed of 30 km/h. The engine is turned off, and the only forces acting on the car are a net frictional force from the road and the...

A uniform chain of length 8.00 m initially lies stretched out on a horizontal table. (a) If the coefficient of static friction between chain and table is 0.600, show that the chain will begin to...

A 5.00-A current runs through a 12-gauge copper wire (diameter 2.05 mm) and through a light bulb. Copper has 85 X 1028 free electrons per cubic meter. (a) How many electrons pass through the light...

A closely wound, circular coil with radius 2.40 cm has 800 turns. (a) What must the current in the coil be if the magnetic field at the center of the coil is 0.0580 T? (b) At what distance x from the...

A stone at the end of a sling is whirled in a vertical circle of radius 1.20 m at a constant speed v0 = 1.50 m/s as in Figure P4.57. The center of the sling is 1.50 m above the ground. What is the...

A canoe has a velocity of 0.40 m/s southeast relative to the earth. The canoe is on a river that is flowing 0.50 m/s east relative to the earth find the velocity (magnitude and direction) of the...

In Fig. 5.46 the weight w is 60.0 N. (a) What is the tension in the diagonal string? (b) Find the magnitudes of the horizontal forces FI and F2 that must be applied to hold the system in the position...

Crash Barrier A student proposes a design for an automobile crash barrier in which a 1700-kg sport utility vehicle moving at 20.0 m/s crashes into a spring of negligible mass that slows it to a stop....

An 85.0-kg mountain climber plans to swing down, starting from rest, from a ledge using a light rope 6.50 m long. He holds one end of the rope, and the other end is tied higher up on a rock face....

A viscometer consists of two concentric cylinders, 10.20cm and 10.60cm in diameter, A particular liquid fills the space between them to a depth of 12.0cm. The outer cylinder is fixed, and a torque of...

A 10 000-N shark is supported by a cable attached to a 4.00-m rod that can pivot at the base. Calculate the tension in the tie-rope between the rod and the wall if it is holding the system in the...

A continuous line of charge lies along the x axis, extending from x = + x0 to positive infinity. The line carries charge with a uniform linear charge density 3 0. What are the magnitude and direction...

Consider three capacitors C1, C2, C3, and a battery. If C1 is connected to the battery, the charge on C1 is 30.8 %C. Now C1 is disconnected, discharged, and connected in series with C2. When the...

A straight, nonconducting plastic wire 8.50 cm long carries a charge density of + 175 nC/m distributed uniformly along its length. It is lying on a horizontal tabletop. (a) Find the magnitude and...

Diamagnetic susceptibility of atomic hydrogen the wave function of the hydrogen atom in its ground state (Is) is = (a 3 0 ) -1/2 exp ( r/a 0 ), where a 0 , = h 2 /me 2 = 0.529 x 10 -8 cm. The charge...

A particle moving along the x axis in simple harmonic motion starts from its equilibrium position, the origin, at t = 0 and moves to the right. The amplitude of its motion is 2.00 cm, and the...

650 V is applied to a 2200-pF capacitor. How much energy is stored?

Analyzing an L-R-C Circuit. You have a 200- resistor, a 0.400-H inductor, a 5.00-F capacitor, and a variable-frequency ac source with an amplitude of 3.00 V. You connect all four elements together to...

A uniform, hollow, cylindrical spool has inside radius R/2, outside radius R, and mass M (Fig. P10.69). It is mounted so that it rotates on a fixed horizontal axle. A counterweight of mass m is...

A car is stopped at a traffic light. It then travels along a straight road so that its distance from the light is given by x (t) = bt2 - ct', where b = 2.40m/S2 and c = O.I20m/s'. (a) Calculate the...

In 1963 Mercury astronaut Gordon Cooper orbited the Earth 22 times. The press stated that for each orbit he aged 2 millionths of a second less than he would have if he had remained on the Earth. (a)...

Give some examples of everyday vibrating objects. Which exhibit SHM, at least approximately?

A motor with a brush-and-commutators arrangement, as described in Example 29.5 has a circular coil with radius 2.5 cm and 150 turns of wire. The magnetic field has magnitude 0.060 T, and the coil...

A block is placed against the vertical front of a cart as shown in Fig. 5.73. What acceleration must the cart have so that block A does not fall? The coefficient of static friction between the block...

An Electromagnetic Rail Gun A conducting bar with mass m and length L slides over horizontal rails that are connected to a voltage source. The voltage source maintains a constant current I in the...

Two speakers, emitting identical sound waves of wavelength 2.0 m in phase with each other, and an observer are located as shown in Fig. 35.21.(a) At the observer's location, what is the path...

As a safety engineer, you must evaluate the practice of storing flammable conducting liquids in non conducting containers. The company supplying a certain liquid has been using a squat, cylindrical...

Determine relative weights and perform a weighted adjustment (to the nearest second) for angles A, B, and C of a plane triangle, given the following four observations for each angle: Angle A Angle B...

A 50.0-g hard-boiled egg moves on the end of a spring with force constant k = 25.0 N/m. Its initial displacement is 0.300 m. A damping force Fx = -bv x acts on the egg, and the amplitude of the...

A 65-kg hiker climbs to the top of a 3700-m-high mountain. The climb is made in 5.0h starting at an elevation of 2300m. Calculate (a) The work done by the hiker against gravity, (b) The average power...

A mobile is constructed of light rods, light strings, and beach souvenirs, as shown in Figure P12.10. Determine the masses of the objects (a) m1, (b) m2, and (c) m3. 4.00 cm6.00 cm 2.00 cm 5.00 cmm...

Two coins A and b have the initial velocities shown just before they collide at point O. If they have weights of WA = 13.2 (10-3) lb WN = 6.60 (10-3) lb and the surface upon which they slide is...

Consider two antennas radiating 6.0-MHz radio waves in phase with each other. They are located at points S1 and S2, separated by a distance d = 175m, Fig. 26-61. What are the first three points on...

A bridge of length 50.0 m and mass 8.00 X 104 kg is supported on a smooth pier at each end as in Figure P12.39. A truck of mass 3.00 X 104 kg is located 15.0 m from one end. What are the forces on...

A rectangular loop of wire lies in the same plane as a straight wire, as shown in Fig, 20-57. There is a current of 2.5 A in both wire, determine the magnitude and direction of the net force the loop.

A proton traveling at 23.0 with respect to the direction of a magnetic field of strength 2.60mT experiences a magnetic force of 6.50 x 10-17 N. Calculate (a) The proton's speed and (b) Its kinetic...

Four long, parallel conductors carry equal currents of I = 5.00 A. Figure P30.21 is an end view of the conductors. The current direction is into the page at points A and B (indicated by the crosses)...

Four small spheres each of which you can regard as a point of mass 0.200 kg, are arranged in a square 0.400 m on a side and connected by extremely light rods (Fig. 9.29). Find the moment of 0 inertia...

A cylinder with a piston contains 0.250 mol of oxygen at 2.40 X 105 Pa and 355 K the oxygen may be treated as an ideal gas. The gas first expands isobarically to twice its original volume. It is then...

A 1250-kg wrecking ball is lifted to a height of 12.7 m above its resting point. When the wrecking ball is released, it swings toward an abandoned building and makes an indentation of 43.7 cm in the...

A 76.O-kg boulder is rolling horizontally at the top of a vertical cliff that is 20 m above the surface of a lake, as shown in Fig. 3.52. The top of the vertical face of a dam is located 100 m from...

Would a spring scale carried to the Moon give accurate results if the scale had been calibrated? (a) In pounds, or (b) In kilograms?

Imagine an iron sphere of radius R that carries a charge Q and a uniform magnetization M = Mz. The sphere is initially at rest. (a) Compute the angular momentum stored in the electromagnetic fields....

A rock is thrown upward from the level ground in such a way that the maximum height of its flight is equal to its horizontal range d. (a) At what angle ' is the rock thrown? (b) What If? Would your...

A very large, thin, flat plate of aluminum of area A has a total charge Q uniformly distributed over its surfaces. Assuming the same charge is spread uniformly over the upper surface of an otherwise...

Centrifuge an advertisement claims that a centrifuge takes up only 0.127 m of bench space but can produce a radial acceleration of 3000g at 5000 rev/min. Calculate the required radius of the...

Assume Earths orbit to be circular and that the Suns mass suddenly decreases by half. What orbit does Earth then have? Will Earth escape the solar system?

Global Positioning System (GPS) The GPS network consists of 24 satellites, each of which makes two orbits around the earth per day. Each satellite transmits a 50.0-W (or even less) sinusoidal...

A string with a mass of 8.00 g and a length of 5.00 m has one end attached to a wall; the other end is draped over a pulley and attached to a hanging object with a mass of 4.00 kg. If the string is...

Attenuator Chains and Axons The infinite network of resistors shown in Fig. is known as an attenuator chain, since this chain of resistors causes the potential difference between the upper and lower...

Suppose you are 90cm from a plane mirror. What area of the mirror is used to reflect the rays entering one eye from a point on the tip of your nose if your pupil diameter is 5.5mm?

An airplane propeller is rotating at 1900 IpI11 (rev/min). (a) Compute the propeller's angular velocity in rad/s. (b) How many seconds does it take for the propeller to turn through 35?

Water initially at 300 kPa and 0.5 m3/kg is contained in a piston-cylinder device fitted with stops so that the water supports the weight of the piston and the force of the atmosphere. The water is...

Two hypothetical planets of masses m1 and m2 and radii r1 and r2, respectively, are nearly at rest when they are an infinite distance apart. Because of their gravitational attraction, they head...

The 20-lb block B rests on the surface of a table for which the coefficient of kinetic friction is μk = 0.1. Determine the speed of the 10-lb block A after it has moved downward 2 ft from rest....

A violin string vibrates at 294 Hz when un-fingered. At what frequency will it vibrate if it is fingered one-third of the way down from the end? (That is only two-thirds of the string vibrates as a...

An amusement park ride consists of a rotating circular platform 8.00 m in diameter from which 10.0-kg seats are suspended at the end of 2.50-m mass less chains (Fig. P6.63). When the system rotates,...

The accompanying figure shows three different crystallographic planes for a unit cell of some hypothetical metal. The circles represent atoms: (a) To what crystal system does the unit cell belong?...

A rotating wheel requires 3.00 s to rotate through 37.0 revolutions. Its angular speed at the end of the 3.00-s interval is 98.0 rad/s. What is the constant angular acceleration of the wheel?

A circular curve of radius R in a new highway is designed so that a car traveling at speed vo can negotiate the turn safely on glare ice (zero friction). If a car travels too slowly, then it will...

In Figure, we must apply a force of magnitude 80 N to hold the block stationary at x = 2.0 cm. From that position, we then slowly move the block so that our force does + 4.0 J of work on the...

The Golden Gate Bridge in San Francisco has a main span of length 1.28 kmone of the longest in the world. Imagine that a taut steel wire with this length and a cross-sectional area of 4.00 X 10-6 m2...

A light spring of constant k = 90.0 N/m is attached vertically to a table (Fig. P14.59a). A 2.00-g balloon is filled with helium (density = 0.180 kg/m3) to a volume of 5.00 m3 and is then connected...

A parallel-plate air capacitor is made by using two plates 16 cm square, spaced 4.7 mm apart. It is connected to a 12-V battery. (a) What is the capacitance? (b) What is the charge on each plate? (c)...

Assume the supports of the uniform cantilever shown in Fig. 6-69 (mass =2600kg) are made of wood. Calculate the minimum cross-sectional area required of each, assuming a safety factor of 8.5. 20.0 m-...

A truck is pulling a car 00 a horizontal highway using a horizontal rope. The car is in neutral gear, so we can assume that there is no appreciable friction between its tires and the highway. As the...

A window washer pulls herself upward using the bucket-pulley apparatus shown is Fig. 4.48. (a) How hard must she pull downward to raise herself slowly at constant speed? (b) If she increases this...

A cyclotron designed to accelerate protons has an outer radius of 0.350 m. The protons are emitted nearly at rest from a source at the center and are accelerated through 600 V each time they cross...

Apparent Weight, A 550-N physics student stands on a bathroom scale in an 850-kg (including the student) elevator that is supported by a cable. As the elevator stands moving, the scale reads 450 N....

A spherical aluminum ball of mass 1.26 kg contains an empty spherical cavity that is concentric with the ball. The ball just barely floats in water. Calculate (a) The outer radius of the ball and (b)...

A blue puck with mass 0.0400 kg sliding with a velocity of magnitude 0.200 m/. on a frictionless, horizontal air table, makes a perfectly elastic, head-on collision with a red puck with mass m,...

A force acting on a particle moving in the xy plane is given by F = (2yi + x2j), where x and y are in meters. The particle moves from the origin to a final position having coordinates x = 5.00 m and...

What is the approximate mass of air in a living room 4.8 m X 3.8 m X 2.8 m?

A ray of light is incident on a flat surface of a block of crown glass that is surrounded by water. The angle of refraction is 19.6. Find the angle of reflection.

An object 0.600cm tall is placed 16.5cm to the left of the vertex of a concave spherical mirror having a radius of curvature of 22.0cm. (a) Draw a principal-ray diagram showing the formation of the...

Comparison of Energy Released per Gram of Fuel. (a) When gasoline is burned, it releases 1.3 x 108 J of energy per gallon (3.788 L). Given that the density of gasoline is 737kg/m3, express the...

You are in your car driving on a highway at 25m/s when you glance in the passenger side mirror (a convex mirror with radius of curvature 150 cm) and notice a truck approaching. If the image of the...

A student performs a ballistic pendulum experiment using an apparatus similar to that shown in Figure 9.11b. She obtains the following average data: h = 8.68 cm, m1 = 68.8 g, and m2 = 263 g. The...

A uniform bar has two small balls glued to its ends. The bar is 2.00 m long and has mass 4.00 kg, while the balls each have mass 0.500 kg and can be treated as point masses. Find the moment of...

You put a bottle of soft drink in a refrigerator and leave it until its temperature has dropped 10.0 K. What is its temperature change in? (a) Fo and (b) Co?

A cylinder contains 0.0100 mol of helium at T = 27.0oC. (a) How much heat is needed to raise the temperature to 67.0oCwhile keeping the volume constant? Draw a pV-diagram for this process. (b) If...