A satellite 575 km above the earth's surface transmits sinusoidal electromagnetic waves of frequency 92.4 MHz uniformly in all directions, with a power of 25.0 kW. (a) What is the intensity of these...
Spiraling up it is common to see birds of prey rising upward on thermals. The paths they take may be spiral-like. You can model the spiral motion as uniform circular motion combined with a constant...
An elevator has mass 600 kg, not including passengers. The elevator is designed to ascend, at constant speed, a vertical distance of 20.0 m (five floors) in 16.0 s, and it is driven by a motor that...
Rotating Space Stations One problem for humans living in outer space is that they are apparently weightless. One way around this problem is to design a space station that spins about its center at a...
A solid ball is released from rest and slides down a hillside that slopes downward at 65.0" from the horizontal (a) What minimum value must the coefficient of static friction between the hill and...
Figure shows a red car and a green car that move toward each other. Figure is a graph of their motion, showing the positions xg0 = 270 m and xr0 = ?? 35.0 m at time t = 0. The green car has a...
One end of a uniform 4.00-m-long rod of weight Fg is supported by a cable. The other end rests against the wall, where it is held by friction, as in Figure P12.23. The coefficient of static friction...
A block with mass 0.50 kg is forced against a horizontal spring of negligible mass, compressing the spring a distance of 0.20 m (Fig. 7.31). When released, the block moves 00 a horizontal tabletop...
Alpha Decay in a simple model for a radioactive nucleus, an alpha particle (m = 6.64 x 10-27 kg) is trapped by a square barrier that has width 2.0 fm and height 30.0MeV.(a) What is the tunneling...
In a TV picture tube the accelerating voltage is 15.0kV and the electron beam passes through an aperture 0.50 mm in diameter to a screen 0.300 m away. (a) Calculate the uncertainty in the component...
A bird flies in the xy-plane with a velocity vector given by v = (a - Pt2) i + -ytj, with a = 2.4 m/s, p = 1.6 m/S3, and -y = 4.0m/S2. The positive y-direction is vertically upward at t = 0 the bird...
A brass ring with triangular cross section encircles a very long straight wire concentrically as in figure. If the wire carries a current I, show that the total number of magnetic flux lines in the...
(a) What is the potential difference Vad in the circuit of Fig? (b) What is the terminal voltage of the 4.00-V battery? (c) A battery with emf 10.30z V and internal resistance 0.50 0 is inserted in...
An explosion at ground level leaves a crater with a diameter that is proportional to the energy of the explosion raised to the 1/3 power; an explosion of 1 megaton of TNT leaves a crater with a 1 km...
A skilled skier knows to jump upward before reaching a downward slope. Consider a jump in which the launch speed is v0 = 10m/s, the launch angle is 0 = 9.0o, the initial course is approximately flat,...
Two identical masses are released from rest in a smooth hemispherical bowl of radius R, from the position shown in Fig. 8.45. You can ignore friction between the masses and the surface of the bowl....
A basketball player who is 2.00 m tall is standing on the floor 10.0 m from the basket, as in Figure P4.54. If he shoots the ball at a 40.0° angle with the horizontal, at what initial speed must...
A Standing Vertical Jump Basketball player Darrell Griffith is on record as attaining a standing vertical jump of 1.2 m (4 ft). (This means that he moved upward by 1.2 m after his feet left the...
A solid wood door 1.00 m wide and 2.00 m high is hinged along one side and bas a total mass of 40.0 kg. Initially open and at rest, the door is struck at its center by a handful of sticky mud with...
A flat, rectangular coil of dimensions l and w is pulled with uniform speed v through a uniform magnetic field B with the plane of its area perpendicular to the field (Fig. 29.30).(a) Find the emf...
A 0.145 kg baseball pitched horizontally at 35.0m/s strikes a bat and is popped straight up to a height of 55.6m. If the contact time is 1.4ms, calculate the average force on the ball during the...
The electric field E1 at one face of a parallelepiped is uniform over the entire face and is directed out of the face. At the opposite face, the electric field E2 is also uniform over the entire face...
Starting with 2.50 mol of N2 gas (assumed to be ideal) in a cylinder at 1.00 atm and 20.0oC, a chemist first heats the gas at constant volume, adding 1.52 X 104 J of heat, then continues heating and...
A 3.00-kg object has a velocity (6.00i 2.00j) m/s. (a) What is its kinetic energy at this time? (b) Find the total work done on the object if its velocity changes to (8.00i + 4.00j) m/s. (Note: From...
(a) For the thin rectangular plate shown in part (d) of Table 9.2, find the moment of inertia about an axis that lies in the plane of the plate, passes through the center of the plate, and is...
Consider the free motion of a plane pendulum whose amplitude is not small. Show that the horizontal component of the motion may be represented by the approximate expression (components through the...
Some Typical Kinetic Energies (a) How many joules of kinetic energy does a 75-kg person have when walking and when running? (b) In the Bohr model of the atom, the ground-state electron in hydrogen...
A machine part consists of a thin 40.0-cm-Iong bar with small l.15-kg masses fastened by screws to its ends. The screws can support a maximum force of 75.0 N without pulling out. This bar rotates...
Debye's T3 Law. At very low temperatures the molar heat capacity of rock salt varies with temperature according to Debye's T3law: C= kT3/O3 Where k = 1940J/mol' K and 0= 281 K. (a) How much heat is...
In the circuit shown in Fig each capacitor initially has a charge of magnitude 3.50 nC on its plates. After the switch S is closed, what will be the current in the circuit at the instant that the...
A toroidal solenoid with 400 turns of wire and a mean radius of 6.0 cm carries a current of 0.25 A. The relative permeability of the core is 80. (a) What is the magnetic field in the core? (b) What...
The small archerfish (length 20 to 25 cm) lives in brackish waters of Southeast Asia from India to the Philippines. This aptly named creature captures its prey by shooting a stream of water drops at...
In March 2006, two small satellites were discovered orbiting Pluto, one at a distance of 48,000 km and the other at 64,000 km. Pluto already was known to have a large satellite Charon, orbiting at...
Compact Disc A compact disc (CD) stores music in a coded pattern of tiny pits 10-7 m deep. The pits are arranged in a track that spirals outward toward the rim of the disc; the inner and outer radii...
Look Out A snowball rolls off a barn roof that slopes downward at an angle of 40" (Fig. 3.49). The edge of the roof is 14.0 m above the ground, and the snowball has a speed of 7.00 m/s as it rolls...
A large crate with mass m rests on a horizontal floor. The coefficients of friction between the crate and the floor are IL, and k A woman pushes downward at an angle (J below the horizontal on the...
Cousin Throckmorton is once again playing with the clothesline in Example 15.2 (Section 15.3). One end of the clothesline is attached to a vertical post. Throcky holds the other end loosely in his...
A circus trapeze consists of a bar suspended by two parallel ropes, each of length L, allowing performers to swing in a vertical circular arc (Figure P8.12). Suppose a performer with mass m holds the...
The asteroid Dactyl, discovered in 1993, has a radius of only about 700 m and a mass of about 3.6 X 1012 kg. Use the results of Example 12.5 (Section 12.3) to calculate the escape speed for an object...
A drum rotates around its central axis at an angular velocity of 12.60 rad/s. If the drum then slows at a constant rate of 4.20 rad/s2, (a) How much time does it take and (b) Through what angle does...
A 150 V battery is connected across two parallel metal plates of area 285 cm? and separation 8.20 mm. A beam of alpha particles (charge +2e, mass 6.64 X 10-27 kg) is accelerated from rest through a...
Mass Spectrograph A mass spectrograph is used to measure the masses of ions, or to separate ions of different masses (see Section 27.5). In one design for such an instrument, ions with mass m and...
When the switch in Figure Q31.13a is closed, a current is set up in the coil and the metal ring springs upward (Fig. Q31.13b). Explain this behavior -Iron core - Metal ring (a) (b) Coutesy of Cental...
A small block of mass m1 = 0.500 kg is released from rest at the top of a curve-shaped frictionless wedge of mass m2 = 3.00 kg, which sits on a frictionless horizontal surface as in Figure P9.60a....
Two oppositely charged. Identical insulating spheres, each 50.0 cm in diameter and carrying a uniform charge of magnitude 175 µC are placed 1.00 m apart center to center (Fig). (a) If a...
Side flash figure indicates one reason no one should stand under a tree during a lightning storm. If lightning comes down the side of the tree, a portion can jump over to the person, especially if...
Power Rating of a Resistor. The power rating of a resistor is the maximum power the resistor can safely dissipate without too great a rise in temperature and hence damage to the resistor. (a) If the...
Three vectors are shown in Fig. 3-32. Their magnitudes are given in arbitrary units. Determine the sum of the three vectors. Give the resultant in terms of (a) Components, (b) Magnitude and angle...
A player bounces a basketball on the floor, compressing it to 80.0% of its original volume. The air (assume it is essentially N2 gas) inside the ball is originally at a temperature of 20.0oC and a...
A sinusoidal wave moving along a string is shown twice in Figure, as crest A travels in the positive direction of an x axis by distance d = 6.0 cm in 4.0ms. The tick marks along the axis are...
A uniform disk turns at 2.4 rev/s around a frictionless spindle. A non-rotating rod, of the same mass as the disk and length equal to the disks diameter is dropped onto the freely spinning disk, Fig....
Oscillations of a Piston A vertical cylinder of radius r contains a quantity of ideal gas and is fitted with a piston with mass m that is free to move (Fig. 19.34). The piston and the walls of the...
Shrinking Loop A circular loop of flexible iron wire has an initial circumference of 165.0 cm, but its circumference is decreasing at a constant rate of 12.0 cm/s due to a tangential pull on the...
The Monkey and Bananas Problem A 20-kg monkey has a firm hold on a light rope that passes over a frictionless pulley and is attached to a 20-kg bunch of bananas (Fig. 5.77). The monkey looks up, sees...
Figure gives the acceleration of a 2.00 kg particle as an applied force Fa moves it from rest along an x axis from x = 0 to x = 9.0m. The scale of the figure's vertical axis is set by as = 6.0 m/s2....
The person in Figure P5.35 weighs 170 lb. As seen from the front, each light crutch makes an angle of 22.0° with the vertical. Half of the persons weight is supported by the crutches. The other...
Assume that a 1.00-kg ball is thrown solely by the action of the forearm, which rotates about the elbow joint under the action of the triceps muscle, Fig. 8-45. The ball is accelerated uniformly from...
Plasketts binary system consists of two stars that revolve in a circular orbit about a center of mass midway between them. This means that the masses of the two star are equal (Fig. P13.13). Assume...
A spool of wire of mass M and radius R is unwound under a constant force F (Fig. P10.85). Assuming the spool is a uniform solid cylinder that doesnt slip, show that (a) The acceleration of the center...
In about 1657 Otto von Guericke, inventor of the air pump, evacuated a sphere made of two brass hemispheres. Two teams of eight horses each could pull the hemispheres apart only on some trials, and...
Some physical systems possessing capacitance continuously distributed over space can be modeled as an infinite array of discrete circuit elements. Examples are a microwave waveguide and the axon of a...
A Styrofoam bucket of negligible mass contains 1.75 kg of water and 0.450 kg of ice. More ice, from a refrigerator at -15.0oC, is added to the mixture in the bucket, and when thermal equilibrium has...
A particle moves in a plane elliptical orbit described by the position vector r = 2b sin wti + b cos wtj (a) Find v, a, and the particle speed. (b) What is the angle between v and a at time t = /2w?
A wooden block of mass M resting on a frictionless horizontal surface is attached to a rigid rod of length θ and of negligible mass (Fig. P11.35) The rod is pivoted at the other end. A bullet...
Two blocks, each with weight w, are held in place on a frictionless incline (Fig. 5.48). In terms of w and the angle a of the incline, calculate the tension in (a) The rope connecting the blocks and...
A steel ball with mass 40.0 g is dropped from a height of 2.00 m onto a horizontal steel slab. The ball rebounds to a height of 1.60 m. (a) Calculate the impulse delivered to the ball during impact....
The cargo space of a refrigerated truck whose inner dimensions are 12 m à 2.3 m à 3.5 m is to be precooled from 25°C to an average temperature of 5°C. The construction of the...
A test rocket is launched by accelerating it along a 200.0-m incline at 1.25 m/s2 starting from rest at point A (Figure 3.45.) The incline rises at 35.0o above the horizontal, and at the instant the...
The Genesis Crash When the 210-kg Genesis Mission capsule crashed (see Exercise 5.17 in Chapter S) with a speed of 311 km/h, it buried itself 81.0 cm deep in the desert f1oor.Assuming constant...
Five simple pendulums are shown in the drawings. The lengths of the pendulums are drawn to scale, and the masses are either m or 2m, as shown. Which pendulum has the smallest angular frequency of...
A block with mass m = 2.00 kg is placed against a spring on a frictionless incline with angle = 30.0o (Figure b) (The block is not attached to the spring.) The spring, with spring constant k = 19.6...
Sketch the free-body diagram of a baseball (a) At the moment it is hit by the bat, and again (b) After it has left the bat and is flying toward the outfield.
The solid wood door of a gymnasium is 1.00 m wide and 2.00 m high, has total mass 35.0 kg, and is hinged along one side. The door is open and at rest when a stray basketball hits the center of the...
A certain building wall consists of 6.0 in of concrete [k = 1.2 W/m C], 2.0 in of fiberglass insulation, and 38 in of gypsum board [k = 0.05 W/m C]. The inside and outside convection coefficients...
Determine the dimensions, in both the FLT system and MLT system, for (a) The product of force times volume, (b) The product of pressure times mass divided by area, and (c) Moment of a force divided...
A parallel-plate capacitor has the volume between its plates filled with plastic with dielectric constant K. The magnitude of the charge on each plate is Q. Each plate has area a. and the distance...
A small particle of mass m is pulled to the top of a frictionless half-cylinder (of radius R) by a cord that passes over the top of the cylinder, as illustrated in Figure P7.20. (a) If the particle...
On a horizontal, frictionless table, an open-topped 5.20-kg box is attached to an ideal horizontal spring having force constant 375 N/m. inside the box is a 3.44-kg stone. The system is oscillating...
At a certain distance from a point charge, the potential and electric-field magnitude due to that charge are 4.98 V and 12.0 V/m, respectively. (Take the potential to be zero at infinity.) (a) What...
Block B, with mass 5.00 kg, rests on block A, with mass 8.00 kg, which in turn is on a horizontal tabletop (Fig. 5.72). There is no friction between block A and the tabletop, but the coefficient of...
A shot putter releases the shot some distance above the level ground with a velocity of 12.0 m/s, 51.00 above the horizontal. The shot hits the ground 2.08 s later. You can ignore air resistance. (a)...
Determine the direction and magnitude of the electric field at the point P in Fig. 16-54. The charges are separated by a distance 2a, and point P is a distance x from the midpoint between the two...
Three plane mirrors intersect at right angles. A beam of laser light strikes the first of them at an angle ? with respect to the normal (Fig. 33.39).(a) Show that when this ray is reflected off of...
A solid insulating sphere of radius a carries a net positive charge 3Q, uniformly distributed throughout its volume. Concentric with this sphere is a conducting spherical shell with inner radius b...
A railroad handcar is moving along straight, frictionless tracks with negligible air resistance. In the following cases, the car initially has a total mass (car and contents) of 200 kg and is...
The astronaut orbiting the Earth in Figure P4.32 is preparing to dock with a Westar VI satellite. The satellite is in a circular orbit 600 km above the Earths surface, where the free-fall...
The two masses shown in Fig. 4-52 are each initially 1.80m above the ground, and the mass less frictionless pulley is 4.8 above the ground. What maximum height does the lighter object reach after the...
A coil with 150 turns, a radius of 5.0 cm, and a resistance of 12 surrounds a solenoid with 230 turns/cm and a radius of 4.5 cm; see Fig 21-54. The current in the solenoid changes at a constant rate...
Figure shows two 22.7 kg ice sleds that are placed a short distance apart, one directly behind the other. A 3.63 kg cat initially standing on one sled jumps to the other one and then back to the...
The string of a conical pendulum is 50 cm long and the mass of the bob is 0.25 kg. Find the angle between the string and the horizontal when the tension in the string is six times the weight of the...
A solid sphere of mass m and radius r rolls without slipping along the track shown in Figure P10.79. It starts from rest with the lowest point of the sphere at height h above the bottom of the loop...
When a soccer ball is kicked toward a player and the player deflects the ball by "heading" it, the acceleration of the head during the collision can be significant. Figure 2-38 gives the measured...
Two small spaceships, each with mass m = 2000 kg, are in the circular Earth orbit of Figure at an altitude h of 400 km. Igor, the commander of one of the ships, arrives at any fixed point in the...
Calculate io in the op amp circuit of Fig. 5.85. 10 k2 1 kl2 5 k12 0.6V
A smaller disk of radius r and mass m is attached rigidly to the face of a second larger disk of radius R and mass M as shown in Figure P15.69. The center of the small disk is located at the edge of...
Evaluate the equivalent capacitance of the configuration shown in Figure P26.18. All the capacitors are identical, and each has capacitance C. C C C
In the process of taking a gas from state a to state c along the curved path shown in Fig. 15 24, 80 J of heat leaves the system and 55 J of work is done on the system. (a) Determine the change in...
A glass sphere (n = 1.50) with a radius of 15.0 cm has a tiny air bubble 5.00 cm above its center. The sphere is viewed looking down along the extended radius containing the bubble. What is the...
A single force acts on a 3.0 kg particle-like object whose position is given by x = 3.0t 4.0t2 + 1.0t3, with x in meters and t in seconds. Find the work done on the object by the force from t = 0 to...
Two point charges are separated by 25.0 cm (Fig. 21.37). Find the net electric field these charges produce at (a) point A and (b) point B. (c) What would be the magnitude and direction of the...