A door 2.30 m high an 1.30 m wide has a mass of 13.0kg. A hinge 0.40m from the top and another hinge 0.40 m from the bottom each support half the doors weight (Fig. 9-59). Assume that the center of...
During an action potential, Na+ ions move into the cell at a rate of about 3 X 10-7 mol/m2 s. How much power must be produced by the active Na+ pumping system to produce this flow against a+ 30-mV...
A series of parallel linear water wave fronts are traveling directly toward the shore at 15.0 cm/s on an otherwise placid lake. A long concrete barrier that runs parallel to the shore at a distance...
A toy chest and its contents have a combined weight of 180N. The coefficient of static friction between toy chest and floor is 0.42.The child in Figure attempts to move the chest across the floor by...
If the coefficient of static friction between your coffee cup and the horizontal dashboard of your car is s = 0.800, how fast can you drive on a horizontal roadway around a right turn of radius 30.0...
A beam of light of a single wavelength is incident perpendicularly on a double-slit arrangement, as in Figure. The slit widths are each 46m and the slit separation is 0.30 mm. How many complete...
Figure 3.26 shows the first five peaks of the x-ray diffraction pattern for tungsten (W), which has a BCC crystal structure; monochromatic x-radiation having a wavelength of 0.1542 nm was used. (a)...
Two slits are separated by 0.180 mm. An interference pattern is formed on a screen 80.0 cm away by 656.3-nm light. Calculate the fraction of the maximum intensity 0.600 cm above the central maximum.
Three 100-Ω resistors are connected as shown in Figure P28.11. The maximum power that can safely be delivered to any one resistor is 25.0 W. (a) What is the maximum voltage that can be applied...
A conductor suspended by two flexible wires as shown in Figure P29.14 has a mass per unit length of 0.040 0 kg/m. What current must exist in the conductor in order for the tension in the supporting...
A disk of radius R rolls without slipping inside the parabola y = ax2. Find the equation of constraint. Express the condition that allows the disk to roll so that I contact the parabola at one and...
A Magnetic Exercise Machine you have designed a new type of exercise machine with an extremely simple mechanism (Fig. 29.36). A vertical bar of silver (chosen for its low resistivity and because it...
A small solid ball is released from rest while fully submerged in a liquid and then its kinetic energy is measured when it has moved 4.0 cm in the liquid. Figure gives the results after many liquids...
In SI units, the electric field in an electromagnetic wave is described by Ey = 100 sin (1.00 x 107 x wt). Find (a) The amplitude of the corresponding magnetic field oscillations, (b) The wavelength...
A cylindrical conductor with a circular cross section bas a radius a and a resistivity p and carries a constant current. (a) What arc the magnitude and direction of the electric-field vector E at a...
Maximum surface resistance considers a square sheet of side L, thickness d, and electrical resistivity p. The resistance measured between opposite edges of the sheet is called the surface resistance:...
Protons are projected with an initial speed vi = 9.55 x 103 m/s into a region where a uniform electric field E = -720j N/C is present, as shown in Figure P23.49. The protons are to hit a target that...
World-class sprinters can accelerate out of the starting blocks with an acceleration that is nearly horizontal and has magnitude 15 m/s2. How much horizontal force must a 55-kg sprinter exert on the...
Two circular rods, one steel and the other copper, are joined end to end. Each rod is 0.750 m long and 1.50 cm in diameter. The combination is subjected to a tensile force with magnitude 4000 N. For...
The average coefficient of volume expansion for carbon tetrachloride is 5.81 X 10-4 (C)-1. If a 50.0-gal steel container is filled completely with carbon tetrachloride when the temperature is 10.0C,...
Two square reflectors, each 1.50 cm on a side and of mass 4.00 g, are located at opposite ends of a thin, extremely light, 1.00-m rod that can rotate without friction and in a vacuum about an axle...
Three children, each of weight 356 N make a log raft by lashing together logs of diameter 0.30 m and length 1.80 m. How many logs will be needed to keep them afloat in fresh water? Take the density...
Two blocks with masses 4.00 kg and 8.00 kg are connected by a string and slide down a 30.0 inclined plane (Fig. 5.74). The coefficient of kinetic friction between the 4.0Q.kg block and the plane is...
A barrel contains a 0.120-m layer of oil floating on water that is 0.250 m deep. The density of the oil is 600 kg/m. (a) What is the gauge pressure at the oil-water interface? (b) What is the gauge...
Waves on a Stick a flexible stick 2.0 m long is not fixed in any way and is free to vibrate. Make clear drawings of this stick vibrating in its first three harmonics, and then use your drawings to...
Jean camps beside a wide river and wonders how wide it is, She spots a large rock on the bank directly across from her. She then walks upstream until she judges that the angle between her and the...
In Figure two tiny conducting balls of identical mass m and identical charge q hang from non-conducting threads of length L. Assume that is so small that tan can be replaced by its approximate...
A toy cannon uses a spring to project a 5.30-g soft rubber ball. The spring is originally compressed by 5.00 cm and has a force constant of 8.00 N/m. When the cannon is fired the ball moves 15.0 cm...
Two cars, A and B, travel in a straight line. The distance of A from the starting point is given as a function of time by >At) = at + pt, with a = 2.60 m/s and p = 1.20 m/s. The distance of B from...
In Figure, a cylinder having a mass of 2.0 kg can rotate about its central axis through point O. Forces are applied as shown: F1 = 6.0 N, F2 = 4.0 N, F3 = 2.0 N, and F4 = 5.0 N. Also, r = 5.0 cm and...
Determine the velocity of each block 2 s after the blocks are released from rest. Neglect the mass of the pulleys and cord. 10 lb 50 lb B.
An aluminum ring of radius 5.00 cm and resistance 3.00 x 10-4 Ω is placed on top of a long air-core solenoid with 1 000 turns per meter and radius 3.00 cm, as shown in Figure P31.7. Over the...
A Honda Civic travels in a straight line along a road. Its distance x from a stop sign is given as a function of time t by the equation x (t} = at2 - pt', where a = 1.50m/S2 and p = 0.0500 m/s'....
Consider the glider of Example 7.7 (Section 7.2) and Fig. 7.16. As in the example, the glider is released from rest with the spring stretched 0.100 m. What is the displacement x of the glider from...
A thin, taut string tied at both ends and oscillating in its third harmonic has its shape described by the equation y(x, t) = (S.60 cm) sin [(0.0340 rad/cm) x] sin [(50.0rad/s) t], where the origin...
An 88-g arrow is fired from a bow whose string exerts an average force of 110N on the arrow over a distance of 78cm. What is the speed of the arrow as it leaves the bow?
(a) If the resistance of the resistor in Fig. 21-48 is slowly increased, what is the direction of the current induced in the small circular loop inside the larger loop? (b) What would it be if the...
A particle of mass m moves in a potential given by V (r) = rk. Let the angular momentum be L. (a) Find the radius, r0, of a circular orbit. (b) If the particle is given a tiny kick so that the radius...
You are asked to design spring bumpers for the walls of a parking garage. A freely rolling 1200-kg car moving at 0.65 m/s is to compress the spring no more than 0.070 m before stopping. What should...
(a) Find the excitation energy from the ground level to the third excited level for an electron confined to a box that has a width of 0.125 nm. (b) The electron makes a transition from the n = 1 to n...
Figure shows a section of a cable-car system. The maximum permissible mass of each car with occupants is 2800 kg. The cars, riding on a support cable, are pulled by a second cable attached to the...
A block of mass m = 2.0 kg is dropped from height h = 40 cm onto a spring of spring constant k = 1960 N/m (Figure). Find the maximum distance the spring is compressed. peced ll
Attention! About face! Compute an order-of-magnitude estimate for the moment of inertia of your body as you stand tall and turn about a vertical axis through the top of your head and the point...
A 5.00-pF, parallel-plate, air-filled capacitor with circular plates is to be used in a circuit in which it will be subjected to potentials of up to 1.00 X 102 V. The electric field between the...
What is the apparent weight of a 75-kg astronaut 4200km from the center of the Earths Moon in a space vehicle? (a) Moving at constant velocity, and (b) Accelerating toward the Moon at 2.9m/s2? State...
Three positive particles of equal charge, + 11.0μC, are located at the corners of an equilateral triangle of side 15.0cm (Fig. 16-50). Calculate the magnitude and direction of the net force on...
Light of wavelength 480nm in air falls on two slits 6.00 x 10-2, apart. The slits are immersed in water, as is a viewing screen 40.0cm away. How far apart are the fringes on the screen?
Underwater illusion one clue used by your brain to determine the direction of a source of sound is the time delay ?t between the arrival of the sound at the ear closer to the source and the arrival...
A conducting rod of length moves with velocity v parallel to a long wire carrying a steady current I. The axis of the rod is maintained perpendicular to the wire with the near end a distance r away,...
A small marble rolls horizontally with speed Vo off the top of a platform 2.75 m tall and feels no appreciable air resistance. On the level ground, 2.00 m from the base of the platform, there is a...
Two plane mirrors face each other 2.0m apart as in Fig. 23-53. You stand 1.5m away from one of these mirrors and look into it. You will see multiple images of yourself. (a) How far away from you are...
What is the index of refraction of a clear material if a minimum of 150 nm thickness of it, when laid on glass, is needed to reduce reflection to nearly zero when light of 600nm is incident normally...
Ferrari with a mass of 1400 kg approaches a freeway underpass that is 10m across. At what speed must the car be moving, in order for it to have wavelength such that it might somehow diffract after...
If 1 cup of cream having a density of 1005 kg/m 3 is turned into 3 cups of whipped cream, determine the specific gravity and specific weight of the whipped cream.
A student with mass 45 kg jumps off a high diving board. Using 6.0 X l024 kg for the mass of the earth, what is the acceleration of the earth toward her as she accelerates toward the earth with an...
What fraction of the total kinetic energy is rotational for the following objects rolling without slipping on a horizontal surface? (a) A uniform solid cylinder; (b) A uniform sphere; (c) A...
Your starship, the Aimless Wanderer, lands on the mysterious planet Mongo. As chief scientist-engineer, you make the following measurements: A 2.50-kg stone thrown upward from the ground at 12.0 m/s...
A bottle has a mass of 35.00g when empty and 98.44g when filled with water. When filled with another fluid, the mass is 88.78g. What is the specific gravity of this other fluid?
A 1.5-V dry cell can be tested by connecting it to a low-resistance ammeter. It should be able to supply at least 22 A. what is the internal resistance of the cell in this case, assuming it is much...
What is the momentum of a proton traveling at v = 0.85c?
(a) In Figure what does the ammeter read if ? = 5.0 V (ideal battery), R 1 = 2.0?, R 2 = 4.0?, and R 3 = 6.0?? (b) The ammeter and battery are now interchanged. Show that the ammeter reading is...
The ball B has a weight of 5 lb and is originally rotating in a circle. As shown, the cord AB has a length of 3 ft and passes through the hole A, which is 2 ft above the plane of motion. If 1.5 ft of...
A small winch is used to raise a 120-lb load. Find (a) the magnitude of the vertical force P that should be applied at C to maintain equilibrium in the position shown, (b) the reactions at A and B,...
A 1.5 kg box is initially at rest on a horizontal surface n at t = 0 a horizontal force F = (1.8t)i N (with t in seconds) is applied to the box. The acceleration of the box as a function of time t is...
A230 kg crate hangs from the end of a rope of length L = 12.0 m. You push horizontally on the crate with a varying force F to move it distance d = 4.00 m to the side (Figure). (a) What is the...
A simply supported wood beam AB with span length L = 4m carries a uniform load of intensity q = 5.8kN/m (see figure). (a) Calculate the maximum bending stress Ïmax due to the load if the beam...
Consider a fictitious one-dimensional system with one electron. The wave function for the electron, drawn at the top of the next page, is Ï(x) = sin x from x = 0 to x = 2Ï. (a) Sketch the...
Compute the order of magnitude of the mass of a bathtub half full of water. Compute the order of magnitude of the mass of a bathtub half full of pennies. In your solution list the quantities you take...
A bar of mass m, length d, and resistance R slides without friction in a horizontal plane, moving on parallel rails as shown in Figure P31.52. A battery that maintains a constant emf Є is...
In an insulated vessel, 250 g of ice at 0C is added to 600 g of water at 18.0C. (a) What is the final temperature of the system? (b) How much ice remains when the system reaches equilibrium?
A tuning fork vibrating at 512 Hz falls from rest and accelerates at 9.80 m/s2. How far below the point of release is the tuning fork when waves of frequency 485 Hz reach the release point? Take the...
A certain particle has a weight of 22 N at a point where g = 9.8 m/s2. What are its (a) Weight and (b) Mass at a point where g = 4.9 m/s2? What are its (c) Weight and (d) Mass if it is moved to a...
Three students derive the derive the following equations in which x refers to distance traveled, v the speed, a the acceleration (m/s2), and t the time, and the subscript (0) means a quantity at time...
A 3.30-mm-wide beetle is viewed with a 9.50-cm-focal-length lens. A normal eye views the image at its near point. Calculate (a) The angular magnification, (b) The width of the image, and (c) The...
To crack a certain nut in a nutcracker, forces with magnitudes of at least 40 N must act on its shell from both sides. For the nutcracker of Figure with distances L = 12 cm and d = 2.6 cm, what are...
A contact lens is made of plastic with an index of refraction of 1.50. The lens has an outer radius of curvature of +2.00 cm and an inner radius of curvature of +2.50 cm. What is the focal length of...
A convex mirror and a concave mirror are placed on the same optic axis, separated by a distance L = 0.600 m. The radius of curvature of each mirror has a magnitude of 0.360 m. A light source is...
(a) What is the angular momentum of a 2.8-kg uniform cylindrical grinding wheel of radius 18cm when rotating at 1500 rpm? (b) How much torque is required to stop it in 6.0s?
A marble of mass m and radius r rolls along the looped rough track of Fig. 8-58. What is the minimum value of the vertical height h that the marble must drop if it is to reach the highest point of...
The index of refraction of diamond is 2.42. Construct the graph analogous to Fig. 9.16 for the air/diamond interface. (Assume ?1 = ?2 = ?0.) In particular, calculate (a) The amplitudes at normal...
How many kernels of corn does it take to fill a 2-L soft drink bottle?
The flywheel of an engine has moment of inertia 2.50 kg m2 about its rotation axis. What constant torque is required to bring it up to an angular speed of 400 rev/min in 8.00 S, starting from rest?
A 40 kg girl and an 8.4 kg sled are on the frictionless ice of a frozen lake, 15 m apart but connected by u rope of negligible mass. The girl exerts a horizontal 5.2N force on the rope. What are the...
At a point high in the Earths atmosphere, He 2+ ions in a concentration of 2.8 X 1012/m3 are moving due north at a speed of 2.0 X 105 m/s. Also, a 7.0 X 1011/m3 concentration of O2 ions is moving due...
A 1.5-m length of wire carrying 4.5 A of current is oriented horizontally. At that point on the earths surface, the dip angle of the earths magnetic field makes an angle of 38o to the wire. Estimate...
Tarzan, who weighs 820 N, swings from a cliff at the end of a 20.0 m vine that hangs from a high tree limb and initially makes an angle of 22.0o with the vertical assume that an x axis extends...
An electron is shot into one end of a solenoid. As it enters the uniform magnetic field within the solenoid, its speed is 800 m/s and its velocity vector makes an angle of 30 with the central axis of...
As the people sing in church, the sound level everywhere inside is 101 dB. No sound is transmitted through the massive walls, but all the windows and doors are open on a summer morning. Their total...
A rock with mass m slides with initial velocity Vo on a horizontal surface. A retarding force FR that the surface exerts on the rock is proportional to the square root of the instantaneous velocity...
A Multirange Ammeter The resistance of the moving coil of the galvanometer G in Fig. is 48.0 Ω, and the galvanometer deflects full scale with a current of 0.0200 A. When the meter is connected...
A uniform rod of mass M and length L can pivot freely (i.e. we ignore friction) about a hinge attached to a wall, as in Fig. 8-54. The rod is held horizontally and then released. AT the moment of...
If the apex angle of a prism is θ = 72o (see Fig. 23-56), what is the minimum incident angle for a ray if it is to emerge from the opposite side (i.e., not be totally internally reflected),...
A double-slit arrangement produces interference fringes for sodium light ( = 589 nm) that have an angular separation of 3.50 x 10-3 rad. For what wavelength would the angular separation be 10.0%...
A major leaguer hits a baseball so that it leaves the bat at a speed of30.0 m/s and at an angle of36.9" above the horizontal. You can ignore air resistance. (a) At what two times is the baseball at a...
A horse pulls a cart with a force of 40 lb at an angle of 30o above the horizontal and moves along at a speed of 6.0 mi/h. (a) How much work does the force do in 10 min? (b) What is the average power...
A 0.200-A current is charging a capacitor that has circular plates 10.0 cm in radius. If the plate separation is 4.00 mm, (a) What is the time rate of increase of electric field between the plates?...
In the ohmmeter in Fig. M is a 2.50-rnA meter of resistance 65.0 Ω. (A 2.50-. mA meter deflects full scale when the current through it is 2.50 mA.) The battery B has an emf of 1.52 V and...
Compute the voltage drop along a 26-m length of household no. 14 copper wire (used in 15-A circuits). The wire has diameter 1.628 mm and carries a 12-A current.
When a click beetle is upside down on its back, it jumps upward by suddenly arching its back, transferring energy stored in a muscle to mechanical energy. This launching mechanism produces an audible...
A 20.0 kg body is moving through space in the positive direction of an x axis with a speed of 200 m/s when, due to an internal explosion, it breaks into three parts. One part, with a mass of 10.0 kg,...