A small piece of paper is dropped and flutters to the floor. Is the piece of paper accelerating at any time during this motion? Explain.

A lead ball and an aluminum ball, each 1 in. in diameter, are released simultaneously and allowed to fall to the ground. Due to its greater density, the lead ball has a substantially larger mass than...

A rock is dropped from the top of a diving platform into the swimming pool below. Will the distance traveled by the rock in a 0.1-second interval near the top of its flight be the same as the...

A rock is thrown straight upward reaching a height of 20 meters. On its way up, does the rock spend more time in the top 5 meters of its flight than in its first 5 meters of its flight? Explain

A ball is thrown straight upward and then returns to the Earth. Does the acceleration change direction during this motion? Explain.

A ball rolling rapidly along a tabletop rolls off the edge and falls to the floor. At the exact instant that the first ball rolls off the edge, a second ball is dropped from the same height. Which...

Is it possible for an object to have a horizontal component of velocity that is constant at the same time that the object is accelerating in the vertical direction? Explain by giving an example, if...

An expert marksman aims a high-speed rifle directly at the center of a nearby target. Assuming that the rifle sight has been accurately adjusted for more distant targets, will the bullet hit the near...

A cannonball fired at an angle of 70 to the horizontal stays in the air longer than one fired at 45 from the same cannon. Will the 70 shot travel a greater horizontal distance than the 45 shot?...

Will a shot fired from a cannon at a 20 launch angle travel a longer horizontal distance than a 45 shot? Explain.

A ball is thrown downward with an initial velocity of 12 m/s. Using the approximate value of g = 10 m/s 2 , what is the velocity of the ball 1.0 seconds after it is released?

How high above the ground is the ball in exercise 7: a. 1 second after it is thrown? b. 2 seconds after it is thrown? Exercise 7 A ball is thrown upward with an initial velocity of 15 m/s, use the...

A ball rolls off a shelf with a horizontal velocity of 6 m/s. At what horizontal distance from the shelf does the ball land if it takes 0.4 s to reach the floor?

A ball rolls off a table with a horizontal velocity of 4 m/s. If it takes 0.5 seconds for the ball to reach the floor, how high above the floor is the tabletop? (Use g = 10 m/s 2 .)

A ball rolls off a platform that is 5 meters above the ground. The balls horizontal velocity as it leaves the platform is 6 m/s. a. How much time does it take for the ball to hit the ground? (See...

Two balls are released simultaneously from the top of a tall building. Ball A is simply dropped with no initial velocity, and ball B is thrown downward with an initial velocity of 12 m/s. a. What are...

A cannon is fired over level ground at an angle of 30 to the horizontal. The initial velocity of the cannonball is 400 m/s, but because the cannon is fired at an angle, the vertical component of the...

Is Newtons first law of motion explained by the second law? Explain. Why did Newton state the first law as a separate law of motion?

If you get into an elevator on the top floor of a large building and the elevator begins to accelerate downward, will the normal force pushing up on your feet be greater than, equal to, or less than...

A constant horizontal force of 30 N is exerted by a string attached to a 5-kg block being pulled across a tabletop. The block also experiences a frictional force of 5 N due to contact with the table....

Joe has a weight of 720 N (about 162 lb) when he is standing on the surface of the Earth. What would his weight (the gravitational force due to the Earth) be if he doubled his distance from the...

A car with a mass of 900 kg is traveling around a curve with a radius of 60 m at a constant speed of 25 m/s (56 MPH). The curve is banked at an angle of 15 degrees. a. What is the magnitude of the...

A sled is given a push at the top of a hill. Is it possible for the sled to cross a hump in the hill that is higher than its starting point under these circumstances? Explain.

A slingshot consists of a rubber strap attached to a Y-shaped frame, with a small pouch at the center of the strap to hold a small rock or other projectiles. The rubber strap behaves much like a...

Using the simplified model of Earths atmosphere as in Example 34.1, with no absorption, no meridional energy transport, and an albedo of 0.16, use the yearly average integrated insolation computed in...

Compute an upper bound on the energy density of a lead-acid battery in which the overall chemical process is ? and for each such reaction two electrons pass around the external circuit, assuming that...

For the Maxwell BCAP0310 ultra capacitor described in Example 37.5, the capacitance is 310 F, mass is 0.06 kg, maximum voltage is 2.85 V, and internal resistance is r = 2.2 m. Consider connecting the...

A 200 kV transmission line is being designed to carry power 400 km from one power plant to another as part of a transmission network. The line has inductive reactance per unit length L = 0.44 /km....

A merry-go-round in the park has a radius of 1.8 m and a rotational inertia of 900 kgm 2 . A child pushes the merry -go-round with a constant force of 80 N applied at the edge and parallel to the...

A blood pressure reading is given as 130/75. a. What units are implied by these numbers? b. Are these numbers total pressures or gauge pressures? Explain.

Two objects at different temperatures are placed in contact with one another but are insulated from the surroundings. Will the temperature of either object change? Explain.

Work of 600 J is done by stirring an insulated beaker containing 100 g of water. a. What is the change in the internal energy of the system? b. What is the change in the temperature of the water?

A student constructs the thermometer and invents her own temperature scale with the ice point of water at 0S (S for the student) and the boiling point of water at 50S. She measures the temperature of...

Is it possible to produce a transverse wave on a Slinky? Explain.

We can form standing waves on a rope attached to a wall by moving the opposite end of the rope up and down at an appropriate frequency. Where does the second wave come from that interferes with the...

If we wrap a second wire around a guitar string to increase its mass, what effect does this have on the frequency and wavelength of the fundamental standing wave formed on that string? Explain.

Why is it much easier to produce longitudinal waves traveling in air than it is to produce transverse waves? Explain.

If the temperature in an organ pipe increases above room temperature, thereby increasing the speed of sound waves in the pipe but not affecting the length of pipe significantly, what effect does this...

When you pluck a guitar string, are you likely to get a sound wave containing just a single frequency? Explain.

How is the musical interval that we call a fifth related to the third harmonic of a plucked string? Explain.

Suppose that water waves coming into a dock have a velocity of 1.2 m/s and a wavelength of 2.4 m. With what frequency do these waves meet the dock?

A string with a length of 0.8 m is fixed at both ends. a. What is the longest possible wavelength for the traveling waves that can interfere to form a standing wave on this string? b. If waves travel...

Sound waves have a speed of 340 m/s in room-temperature air. What is the wavelength of the sound waves for the musical tone concert A, which has a frequency of 440 Hz?

In just tuning, the ratio for a major third is 54. In equal tempered tuning, the ratio is 1.260. If we start a scale on a frequency of 440 Hz for do, what is the difference in frequency for mi (a...

For standard tuning, concert A is defined to have a frequency of 440 Hz. On a piano, A is five white keys above C, but 9 half steps above C counting both the white and black keys. (See fig. 15.22.) A...

Using the procedure outlined in section 15.5 where the ideal ratios for a justly-tuned scale are described, find the frequencies for all of the white keys between middle C (264 Hz) and the C above...

Is a chemical element the same as a chemical compound? Explain.

Is mass conserved in a chemical reaction? Explain.

Because seawater does not freeze easily, sea ice never gets very thick. Where, then, do large icebergs originate?

Draw the Feynman diagrams for bottom and charm decays. Estimate the ratio (b c + e + v e )/ (b c).

In the T2K experiment a is produced at the J-PARC proton accelerator and detected in the water Cherenkov detector, Super-Kamiokande. The direction of the incoming neutrino is known, but not its...

Determine [C] -1

If C is the vector sum of A and B, C = A + B, what must be true about the directions and magnitudes of A and B if C = A + B? What must be true about the directions and magnitudes of A and B if C = 0?

You are told, Bernoullis equation tells us that where there is higher fluid speed, there is lower fluid pressure, and vice versa. Is this statement always true, even for an idealized fluid? Explain.

Take two marbles or steel balls of the same size and practice shooting one into the other. Make these observations: a. If you produce a head-on collision with the second marble initially at rest,...

A band limited signal consists of a steady sinusoidal component of power 10 W and a narrow band Gaussian component centered on the steady component of power 5 W. Find the following: (a) The steady to...

Your neighbor lives in a 2500-square-foot (about 250 m 2 ) older house heated by natural gas. The current gas heater was installed in the early 1980s and has an efficiency (called the Annual Fuel...

Try to describe the flow of energy through various systems before and after you use it in a light bulb in your house. Which of the various forms of energy discussed in the chapter does the energy...

Give examples of each of the types of energy described in 1.2.

The analysis of a road trip from Cambridge, Massachusetts to New York suggests many ways that the energy cost of transport could be reduced including (a) slower speed; (b) a more efficient engine;...

Jet engines use a variant of the Brayton cycle in which the gases are only expanded in the turbine to a pressure sufficient to drive the compressor and the planes mechanical and electrical systems;...

According to relativity, the clocks of an object moving with speed v = ?c are slowed down by a factor ? The total(relativistic) energy of the object is given by .mc 2 ? The mean energy of cosmic ray...

Given a silicon photovoltaic solar cell with open-circuit voltage V oc = 0.7V that operates at an overall 20% efficiency under 1000 W/m 2 of normal illumination, (a) compute the current density from...

An actual solar cell has internal resistances that affect the behavior of the circuit. These can be modeled as a single shunt resistance R p in parallel with the diode, and another resistance R s in...

Estimates suggest that 80% of the nitrogen in fertilizer is lost to the environment and does not benefit crops. Investigate the negative side effects of nitrogen fertilizer runoff. If this lost...

Consider laminar flow about a vertical isothermal plate of length L, providing an average heat transfer coefficient of h L . If the plate is divided into N smaller plates, each of length, L N = L/N,...

Using the results of Problem 1.7, show that de r / d = e and de /d = e r . Data From Problem 1.7 Show that the unit vectors e r and e in a cylindrical coordinate system are related to the unit...

For each of the following cases, determine an appropriate characteristic length L c and the corresponding Biot number Bi that is associated with the transient thermal response of the solid object....

A 100 W beam of light is shined onto a blackbody of mass 2 x 10 -3 kg for 10 4 s. The blackbody is initially at rest in a frictionless space. (a) Compute the total energy and momentum absorbed by the...

Air rapidly flows over a 10.0 m x 8.0 m rectangular spill of gasoline (n-octane) at a velocity of 8.0 m/s. The spill occurred within an enclosure where the gas temperature was maintained at 27 C. You...

A gas mixture of constant composition 5.0 mole% CO 2 and 95 mole% air flows around a porous, spherical particle of diameter 3.0 cm that initially only contains only air (no CO 2 ) within the gas...

Consider the hollow cylinder for drug delivery release shown in the figure below. The hollow center contains a lump of solid solute A (drug) in a liquid. Solute A dissolves in the liquid to a maximum...

Find the temperature of a blackbody if its spectrum has its peak at (a) m = 700 nm (visible), (b) m = 3 cm (microwave region), and (c) m = 3 m (FM radio waves).

A counter-current packed tower will be used to remove H 2 S vapor from a N 2 -rich gas stream. In the present process, the inlet gas stream entering the bottom of the tower contains 5.0 mole% H 2 S...

Show that Plancks law, Equation 3-18, expressed in terms of the frequency f, is u(f) 8f hf c ehf/kT - 1 C

A process is being developed to produce carbonated beverages. As part of this process, a wetted-wall absorption column 2.0 m long will be used to dissolve carbon dioxide (CO 2 ) gas into water. The...

(a) The current i due to a charge q moving in a circle with frequency f rev is q f rev . Find the current due to the electron in the first Bohr orbit. (b) The magnetic moment of a current loop is iA,...

Calculate the order of magnitude of the shift in energy of a (a) 1 eV photon and (b) 1 MeV photon resulting from the recoil of an iron nucleus. Do this by first calculating the momentum of the photon...

In his first e/m experiment Thomson determined the speed of electrons accelerated through a potential V by collecting them in an insulated beam stopper and measuring both the total collected charge Q...

On the average, a hydrogen atom will exist in an excited state for about 10 -8 s before making a transition to a lower energy state. About how many revolutions does an electron in the n = 2 state...

A 40 W incandescent bulb radiates from a tungsten filament operating at 3300 K. Assuming that the bulb radiates like a blackbody, (a) what are the frequency f m and the wavelength m at the maximum...

Moseley pointed out that elements with atomic numbers 43, 61, and 75 should exist and (at that time) had not been found. (a) Using Figure 4-19, what frequencies would Moseleys graphical data have...

Show that, if V is a function only of r, then dL/dt = 0, that is, L is conserved.

Show that the wave function (x,t) = Ae kx - t does not satisfy the time-dependent Schrdinger equation.

62 Cu is produced at a constant rate [e.g., by the (, n) reaction on 63 Cu placed in a high-energy x-ray beam] and decays by + decay with a half-life of about 10 min. How long does it take to...

Should the accounts receivable reported on the balance sheet match the revenues less any amount collected during the current year?

You are watching a jet ski race. A racer speeds up from rest to 70 mph in just a few seconds, then continues at a constant speed. Draw a basic motion diagram of the jet ski, using images from the...

A baseball player starts running to the left to catch the ball as soon as the hit is made. Use the particle model to draw a motion diagram showing the position and average velocity vectors of the...

A particle starts from x 0 = 10 m at t 0 = 0 s and moves with the velocity graph shown in FIGURE EX2.6. a. Does this particle have a turning point? If so, at what time? b. What is the objects...

A car starts from rest at a stop sign. It accelerates at 4.0 m/s 2 for 6.0 s, coasts for 2.0 s, and then slows down at a rate of 3.0 m/s 2 for the next stop sign. How far apart are the stop signs?

A particle moving along the x-axis has its position described by the function x = (2t 3 + 2t + 1) m, where t is in s. At t = 2 s what are the particles (a) Position, (b) Velocity, and (c)...

FIGURE P2.46 shows a set of kinematic graphs for a ball rolling on a track. All segments of the track are straight lines, but some may be tilted. Draw a picture of the track and also indicate the...

Are the following statements true or false? Explain your answer. (a) The magnitude of a vector can be different in different coordinate systems. (b) The direction of a vector can be different in...

Sand moves without slipping at 6.0 m/s down a conveyer that is tilted at 15°. The sand enters a pipe 3.0 m below the end of the conveyer belt, as shown in FIGURE P4.56. What is the horizontal...

A ball thrown horizontally at 25 m/s travels a horizontal distance of 50 m before hitting the ground. From what height was the ball thrown?

A 3000-m-high mountain is located on the equator. How much faster does a climber on top of the mountain move than a surfer at a nearby beach? The earths radius is 6400 km.

A disoriented physics professor drives 3.25 km north, then 2.90 km west, and then 1.50 km south. Find the magnitude and direction of the resultant displacement, using the method of components. In a...

Some sliding rocks approach the base of a hill with a speed of 12 m/s. The hill rises at 36 above the horizontal and has coefficients of kinetic and static friction of 0.45 and 0.65, respectively,...

Consider the system shown in Fig. E5.34. Block A weighs 45.0 N and block B weighs 25.0 N. Once block B is set into downward motion, it descends at a constant speed. (a) Calculate the coefficient of...

A 3.00-kg box that is several hundred meters above the surface of the earth is suspended from the end of a short vertical rope of negligible mass. A time-dependent upward force is applied to the...