Darlene is a stunt motorcyclist in a traveling circus. For the climax of her show, she takes off from the ramp at angle , clears a fiery ditch of width x, and lands on an elevated platform (height H)...

A vibrating string 50.0 cm long is under a tension of 1.00 N. The results from five successive stroboscopic pictures are shown in Fig. 15.39. The strobe rate is set at 5000 flashes per minute, and...

Two forces F1 and F2 act along the two sides of an equilateral triangle as shown in Figure P11.9. Point O is the intersection of the altitudes of the triangle. Find a third force F3 to be applied at...

A nonuniform, but spherically symmetric, distribution of charge has a charge density p (r) given as follows: Where P0 = 3Q/πR3 is a positive constant. (a) Show that the total charge contained in...

An unhappy 0.300-kg rodent, moving on the end of a spring with force constant k = 2.50 N/m, is acted on by a damping force Fx = -bv x. (a) If the constant b has the value 0.900 kg/s, what is the...

Figure shows nine graphs of position, velocity, and acceleration for objects in linear motion. Indicate the graphs that meet the following conditions: (a) Velocity is constant. (b) Velocity has...

(a) Determine the electric field E at the origin 0 in Fig. 16-56 due to the two charges at A and B. (b) Repeat, but let the charge at B be reversed in sign. 'B

A block of mass m is connected to two springs of force constants k1 and k2 as shown in Figures P15.71a and P15.71b. In each case, the block moves on a frictionless table after it is displaced from...

The Human Voice. The human vocal tract is a pipe that extends about 17 cm from the lips to the vocal folds (also called ''vocal cords") near the middle of your throat. The vocal folds behave rather...

The Fermi energy of sodium is 3.23eV. (a) Find the average energy Egv of the electrons at absolute zero. (b) What is the speed of an electron that has energy Eav? (c) At what Kelvin temperature T is...

(a) Calculate the force FM, required of the deltoid muscle to hold up the outstretched arm shown in Fig. 9-45. The total mass of the arm is 3.3 kg. (b) Calculate the magnitude of the force FJ exerted...

The sun emits energy in the form of electromagnetic waves at a rate of 3.9 x 1026 W. This energy is produced by nuclear reactions deep in the sun's interior. (a) Find the intensity of electromagnetic...

Taking R = 1.00 k Ω and ∑ 250 V in Figure P28.25, determine the direction and magnitude of the current in the horizontal wire between a and e. 2R 4R 3R 2

A familiar toy consists of donut-shaped permanent magnets (magnetization parallel to the axis), which slide frictionlessly on a vertical rod (Fig. 6.31). Treat the magnets as dipoles, with mass md...

A faulty model rocket moves in the xy-plane (the positive y direction is vertically upward). The rocket's acceleration has components ax (t) = at2 and ay (t) = B - yt where a = 2.50 m/s4, B = 9.00...

A classic 1957 Chevrolet Corvette of mass 1240 kg starts from rest and speeds up with a constant tangential acceleration of 3.00 m/s2 on a circular test track of radius 60.0 m. treat the car as a...

Two identical spheres are each attached to silk threads of length L = 0.500 m and hung from a common point (Fig. 21.44). Each sphere has mass m = 8.00 g. The radius of each sphere is very small...

Let Fig. represent a strip of an unknown metal of the same dimensions as those of the silver ribbon in Exercise 27.51. When the magnetic field is 2.29 T and the current is 78.0 A, the Hall emf is...

A steel tank is completely filled with 2.80 m3 of ethanol when both the tank and the ethanol are at a temperature of 32.0C. When the tank and its contents have cooled to 18.0C, what additional volume...

The rectangular loop shown in Fig. is pivoted about the y-axis and carries a current of 15.0 A in the direction indicated. (a) If the loop is in a uniform magnetic field with magnitude 0.48 T in the...

A 72.0-kg swimmer jumps into the old swimming hole from a diving board 3.25 m above the water. Use energy conservation to find his speed just he hits the water (a) If he just holds his nose and drops...

Show that the vector labeled incorrect in Fig. 3-6c is actually the difference of the two vectors. Is it V2 V1l or V1 V2?

Three cubes, of sides l0 = 2l0 3l0, are placed next to one another (in contact) with their centers along straight line and the l = 2l0 cube in the center (Fig 7-39). What is the position, along this...

Motional emfs in Transportation Airplanes and trains move through the earth's magnetic field at rather high speeds, so it is reasonable to wonder whether this field can have a substantial effect on...

Doughnuts: Breakfast of Champions! A typical doughnut contains 2.0 g of protein, 17.0 g of carbohydrates, and 7.0 g of fat. The average food energy values of these substances are 4.0 kcal/g for...

A cat walks in a straight line, which we shall call the x-axis with the positive direction to the right. As an observant physicist, you make measurements of this cat's motion and construct a graph of...

A 35.0-V battery with negligible internal resistance, a 50.0- resistor, and a 1.25-mH inductor with negligible resistance are all connected in series with an open switch. The switch is suddenly...

A tow truck pulls a car 5.00 km along a horizontal roadway using a cable having a tension of 850 N. (a) How much work does the cable do on the car if it pulls horizontally? If it pulls at 35.0o above...

A spring has k = 88 N/m. Use a graph to determine the work needed to stretch it from x = 3.8cm to x = 5.8cm, where x is the displacement from its unstretched length.

Hcp structure show that the c/a ratio for an ideal hexagonal close-packed structure is (8/3) 1/2 = 1.633. If c/a is significantly larger than this value, the crystal structure may be thought of as...

Thomson's Model of the Atom In the early years of the 20th century, a leading model of the structure of the atom was that of the English physicist J. J. Thomson (the discoverer of the electron). In...

Three point charges are arranged as shown in Figure P23.19. (a) Find the vector electric field that the 6.00-nC and "3.00-nC charges together create at the origin. (b) Find the vector force on the...

You are asked to design the decorative mobile shown in Fig. 11.44. The strings and rods have negligible weight, and the rods are to hang horizontally. (a) Draw a free-body diagram for each rod. (b)...

A structural I beam is made of steel. A view of its cross-section and its dimensions are shown in Figure P1.11. The density of the steel is 7.56 x 103 kg/m3 (a) What is the mass of a section 1.50 m...

The PV diagram in Fig. 15-23 shows two possible states of a system containing 1.35 moles of a monatomic ideal gas, (P1 = P2 = 455 N/m2, V1 = 2.00 m3, V2 = 8.00m3.) (a) Draw the process which depicts...

A glider is oscillating in SHM on an air track with amplitude A, You slow it so that its amplitude is halved. What happens to its (a) Period, frequency and angular frequency; (b) Total mechanical...

In the circuit of Fig, each resistor represents a light bulb. Let R1 = R2 = R3 = R4 = 4.50Ω and E = 9.00V. (a) Find the current in each bulb. (b) Find the power dissipated in each bulb. Which...

A hydroelectric dam holds back a lake of surface area 3.0 X 106 m2 that has vertical sides below the water level. The water level in the lake is 150 m above the base of the dam. When the water passes...

After a laser beam passes through two thin parallel slits, the first completely dark fringes occur at 15.0 with the original direction of the heam, as viewed on a screen far from the slits. (a) What...

A can of bolts and nuts is pushed 2.00 m along an x axis by a broom along the greasy (frictionless) floor of a car repair shop in a version of shuffleboard. Figure 7-29 gives the work W done on the...

Ethyl alcohol has a boiling point of 78.0oC, t freezing point of 114oC, a heat of vaporization of 879kJ/kg, a heat of fusion of 109kJ/kg, and a specific heat of 2.43 kJ/kg K. How much energy must be...

A certain type of automobile can accelerate approximately as shown in the velocity time graph of Fig 2-35. (The short flat spots in the curve represent shifting of the gears) (a) Estimate the average...

Calculate FA and FB for the beam shown in Fig. 9-49. The downward forces represent the weights of machinery on the beam. Assume the beam is uniform and has a mass of 250 kg. FA 4300 N 3100 N 2200 N...

A wagon with two boxes of gold, having total mass 300 kg, is cut loose from the horses by an outlaw when the wagon is at rest 50 m up a 6.00 slope (Fig. 8.50). The outlaw plans to have the wagon roll...

For the circuit in Fig. 2.95, determine i1 to i5. Figure 2.95 For Prob. 2.31 3 ( 2 --> i 13 12 40 V

At a construction site, a 65.O-kg bucket of concrete hangs from a light (but strong) cable that passes over a light friction-free pulley and is connected to an SO.O-kg box on a horizontal roof (Fig....

A machine part has the shape of a solid uniform sphere of mass 225 g and diameter 3.00 cm. It is spinning about a frictionless axle through its center, but at one point on its equator it is scraping...

An oscillator vibrating at 1250 Hz produces a sound wave that travels through an ideal gas at 325 m/s when the gas temperature is 22.0C. For a certain experiment, you need to have the same oscillator...

A certain telescope forms an image of part of a cluster of stars on a square silicon charge-coupled detector (CCD) chip 2.00 cm on each side. A star field is focused on the CCD chip when it is first...

Three blocks on a frictionless horizontal surface are in contact with each other, as shown in Fig/ 4-51. A force F is applied to block A (mass mA). (a) Draw a free-body diagram for each block....

While exploring a castle, Exena the Exterminator is spotted by a dragon that chases her down a hallway. Exena runs into a room and attempts to swing the heavy door shut before the dragon gets he &...

A 2.00-kg pumpkin oscillates from a vertically hanging light spring once every 0.65s. (a) Write down equation giving the pumpkins position y (+ upward) as a function of time t, assuming it started by...

Calculate the forces FA and FB that the supports exert on the diving board of Fig. 9-42 when a 58-kg person stands at its tip. (a) Ignore the weight of the board. (b) Take into account the boards...

Revisit Conceptual Example 3-7, and assume that the boy with the slingshot is below the boy in the tree (Fig.3-36), and so aims upward, directly at the boy in the tree. Show that again the boy in the...

A block (mass m1) lying on a frictionless inclined plane is connected to a mass m2 by a mass less cord passing over a pulley, as shown in Fig. 4-57. (a) Determine a formula for the acceleration of...

Figure shows two point charges, q and q'. moving relative to an observer at point P. Suppose that the lower charge is actually negative, with q' = -q. (a) Find the magnetic field (magnitude and...

Find the tension in the two cords shown in Fig. 9-45. Neglect the mass of the cords, and assume that the angle θ is 33o and the mass m is 170 kg.

A Small rock with mass 0.20 kg is released from rest at point A, which is at the top edge of a large, hemispherical bowl with radius R = 050 m (Fig. 7.25) Assume that the size of the rock is small...

Audible Sound provided the amplitude is sufficiently great, the human ear can respond to longitudinal waves over a range of frequencies from about 20.0 Hz to about 20.0 kHz. (a) If you were to mark...

A small, spherical bead of mass 3.00 g is released from rest at t = 0 in a bottle of liquid shampoo. The terminal speed is observed to be vT = 2.00 cm/s. Find (a) The value of the constant b in...

In Figure, a crate of mass m = 100 kg is pushed at constant speed up a frictionless ramp ( = 30.0o) by a horizontal force F. What are the magnitudes of? (a) F and (b) The force on the crate from the...

A small bead can slide without friction on a circular hoop that is in a vertical plane and has a radius of 0.100 m. The hoop rotates at a constant rate of 4.00 rev/s about a vertical diameter (Fig...

A box of negligible mass rests at the left end of a 2.00-m, 25.0-kg plank (Fig. 11.21). The width of the box is 75.0 cm, and sand is to be distributed uniformly throughout it. The center of gravity...

Four parallel metal plates P1, P2, P3, and P4, each of area 7.50 cm2, are separated successively by a distance d = 1.19 mm, as shown in Figure P26.55. P1 is connected to the negative terminal of a...

A thin rod of length and uniform charge per unit length 3 lies along the x axis, as shown in Figure P23.35. (a) Show that the electric field at P, a distance y from the rod along its perpendicular...

Find the equivalent resistance at terminals a-b of each circuit in Fig. 2.109. Figure 2.109 1012 40 2022 7 o 30 5 50 b o 30 12 5 20 25 60 15 10

Suppose the kick in Example 3-5 is attempted 36.0m from the goalposts, whose crossbar is 3.00m above the ground. If the football is directed correctly between the goalposts, will it pass over the bar...

A triply ionized beryllium ion, Be 3+ (a beryllium atom with three electrons removed), behaves very much like a hydrogen atom except that the nuclear charge is four times as great. (a) What is the...

A postal employee drives a delivery truck along the route shown in Fig. 1.33. Determine the magnitude and direction of the resultant displacement by drawing a scale diagram. (See also Exercise 1.38...

During a jump to his partner, an aerialist is to make a quadruple somersault lasting a time t = 1.87 s. For the first and last quarter-revolution, he is in the extended orientation shown in Figure,...

A fuel gauge uses a capacitor to determine the height of the fuel in a tank. The effective dielectric constant Keff changes from a value of 1 when the tank is empty to a value of K, the dielectric...

A car initially traveling eastward turns north by traveling in a circular path at uniform speed as in Figure P6.10. The length of the arc ABC is 235 m, and the car completes the turn in 36.0 s. (a)...

In a judo foot-sweep move, you sweep your opponent's left foot out from under him while pulling on his gi (uniform) toward that side. As a result, your opponent rotates around his right foot and onto...

A 2540-kg test rocket is launched vertically from the launch pad. Its fuel (of negligible mass) provides a thrust force so that its vertical velocity as a function of time is given by v{t) = At +...

In another version of the "Giant Swing" (see Exercise 5.52), the seat is connected to two cables as shown in Fig. 5.58, one of which is horizontal. The seat swings in a h0ri2ontal circle at a rate of...

Double Atwood's Machine In Fig. 5.85 masses ml and m2 are connected by a light string A over a light, frictionless pulley B. The axle of pulley B is connected by a second light string Cover a second...

Hubble versus Arecibo the Hubble Space Telescope bas an aperture of 2.4 m and focuses visible light (400-700 nm). The Arecibo radio telescope in Puerto Rico is 305 m (1000 ft) in diameter (it is...

Two light sources can be adjusted to emit monochromatic light of any visible wavelength. The two sources are coherent, 2.04m apart, and in line with an observer, so that one source is 2.04m farther...

A 25,000-kg subway train initially traveling at 15.5 m/s slows to a stop in a station and then stays there long enough for its brakes to cool. The station's dimensions are 65.0 m long by 20.0 m wide...

Black Smokers black smokers are hot volcanic vents that emit smoke deep in the ocean floor. Many of them teem with exotic creatures, and some biologists think that life on earth may have begun around...

A railroad flatcar is traveling to the right at a speed of 13.0 m/s relative to an observer standing on the ground. Someone is riding a motor scooter on the flatcar (Fig. 3.43). What is the velocity...

A fish finder uses a sonar device that sends 20,000Hz sound pulses downward from the bottom of the boat, and then detects echoes. If the maximum depth for which it is designed to work is 200m, what...

A ring of diameter 8.00 cm is fixed in place and carries a charge of +5.00 C uniformly spread over its circumference. (a) How much work does it take to move a tiny + 3.00-C charged ball of mass 1.50...

The rotor (flywheel) of a toy gyroscope has mass 0.140 kg. Its moment of inertia about its axis is 1.20 X 10-4 kg m2.The mass of the frame is 0.0250 kg. The gyroscope is supported on a single pivot...

A capacitor is formed from two concentric spherical conducting shells separated by vacuum. The inner sphere has radius 12.5 cm, and the outer sphere has radius 14.8 cm. A potential difference of 120...

Estimate how many books can be shelved in a college library with 3500 square meters of floor space. Assume 8 shelves high having books on both sides, with corridors 1.5 m wide. Assume books are about...

Estimate the time between each photoflash of the apple in Fig 2-18 (or number of photoflashes per second). Assume the apple is a bout 10cm in diameter.

Genesis Crash On September 8, 2004, the Genesis spacecraft crashed in the Utah desert because its parachute did not open. The 210-kg capsule hit the ground at 311 km/b and penetrated the soil to a...

Take the general case of an object of mass mA and velocity vA elastically striking a stationary (vB =0) object of mass mB head-on. (a) Show that final velocities vA and vB are given by (b) What...

(a) In Example 6.7 (Section 6.3) it was calculated that with the air track turned off, the glider travels 8.6 cm before it stops instantaneously. How large would the coefficient of static friction...

A ball having mass m is fastened at the end of a flagpole that is connected to the side of a tall building at point P shown in Figure P11.19. The length of the flagpole is l and it makes an angle...

In downhill speed sking a skier is retarded by both the air drag force on the body and the kinetic frictional force on the skis. (a) Suppose the slope angle is = 40.0 o , the snow is dry snow with a...

A child applies a force F parallel to the x-axis to a l0.0-kg sled moving on the frozen surface of a small pond. As the child controls the speed of the sled, the x-component of the force she applies...

A lever such as that shown in Fig. 6-35 can be used to lift objects we might not otherwise be able to lift. Show that the ratio of output force, Fo, to input force, F1, is related to the lengths,...

Two very large, nonconducting plastic sheets, each 10.0 cm thick, carry uniform charge densities σ1, σ2, σ3, and σ4 on their surfaces. As shown in. 22.34.These surface charge...

Calculate the moment of inertia of each of the following uniform objects about the axes indicated. Consult Table 9.2 as needed. (a) A thin 2.50-kg rod of length 75.0 cm, about an axis perpendicular...

Pat builds a track for his model car out of wood, as in Figure P12.6. The track is 5.00 cm wide, 1.00m high, and 3.00 m long, and is solid. The runway is cut such that it forms a parabola with the...

Forearm In the human arm, the forearm and hand pivot about the elbow joint. Consider a simplified model in which the biceps muscle is attached to the forearm 3.80 cm from the elbow joint. Assume that...

A volumetric flask made of Pyrex is calibrated at 20.0C. It is filled to the 100-mL mark with 35.0C acetone. (a) What is the volume of the acetone when it cools to 20.0C? (b) How significant is the...

For the circuit shown in Fig. 2.116, find the equivalent resistance. All resistors are 1Ω. Figure 2.116 For Prob. 2.52. Req