Physics for Scientists and Engineers with Modern Physics 8th. Edition by Serway, Jewett | 9781439048443 | 1439048444

Physics

Physics for Scientists and Engineers with Modern Physics

9 SOLVED PROBLEMS

359 SOLVED PROBLEMS

Question: 43.5

A Radioactive Isotope of Iodine A sample of the isotope ^131I, which has a half-life of 8.04 days, has an activity of 5.0 mCi at the time of shipment. Upon receipt of the sample at a medical laboratory, the activity is 2.1 mCi. How much time has elapsed between the two measurements? ...

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Conceptualize The sample is continuously decaying ...

Question: 34.3

Angle of Refraction for Glass A light ray of wavelength 589 nm traveling through air is incident on a smooth, flat slab of crown glass at an angle of 30.0° to the normal. (A) Find the angle of refraction. (B) Find the speed of this light once it enters the glass. (C) What is the wavelength of this ...

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(A) Conceptualize Study Figure 34.11a, which illus...

Question: 23.8

A Plane of Charge Find the electric field due to an infinite plane of positive charge with uniform surface charge density σ. ...

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Conceptualize Notice that the plane of charge is i...

Question: 20.3

A Diesel Engine Cylinder Air at 20.0°C in the cylinder of a diesel engine is compressed from an initial pressure of 1.00 atm and volume of 800.0 cm³ to a volume of 60.0 cm³. Assume air behaves as an ideal gas with γ = 1.40 and the compression is adiabatic. Find the final pressure and temperature of ...

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Conceptualize Imagine what happens if a gas is com...

Question: 20.1

A Tank of Helium A tank used for filling helium balloons has a volume of 0.300 m³ and contains 2.00 mol of helium gas at 20.0°C. Assume the helium behaves like an ideal gas. (A) What is the total translational kinetic energy of the gas molecules? (B) What is the average kinetic energy per molecule? ...

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(A) Conceptualize Imagine a microscopic model of a...

Question: 14.3

A Pain in Your Ear Estimate the force exerted on your eardrum due to the water when you are swimming at the bottom of a pool that is 5.0 m deep. ...

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Conceptualize As you descend in the water, the pre...

Question: 13.1

Billiards, Anyone? Three 0.300-kg billiard balls are placed on a table at the corners of a right triangle as shown in Figure 13.3. The sides of the triangle are of lengths a = 0.400 m, b = 0.300 m, and c = 0.500 m. Calculate the gravitational force vector on the cue ball (designated m1) resulting ...

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Conceptualize Notice in Figure 13.3 that the cue b...

Question: 11.4

A System of Objects A sphere of mass m1 and a block of mass m2 are connected by a light cord that passes over a pulley as shown in Figure 11.6. The radius of the pulley is R, and the mass of the thin rim is M. The spokes of the pulley have negligible mass. The block slides on a frictionless, ...

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Conceptualize When the system is released, the blo...

Question: 4.8

A Boat Crossing a River A boat crossing a wide river moves with a speed of 10.0 km/h relative to the water. The water in the river has a uniform speed of 5.00 km/h due east relative to the Earth. (A) If the boat heads due north, determine the velocity of the boat relative to an observer standing on ...

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(A) Conceptualize Imagine moving in a boat across ...

Question: 40.5

Wavelengths for Microscopic and Macroscopic Objects (A) Calculate the de Broglie wavelength for an electron (me = 9.11 × 10^-31 kg) moving at 1.00 × 10^7 m/s. (B) A rock of mass 50 g is thrown with a speed of 40 m/s. What is its de Broglie wavelength? ...

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(A) Conceptualize Imagine the electron moving thro...

Question: 40.4

Compton Scattering at 45° X-rays of wavelength λ0 = 0.200 000 nm are scattered from a block of material. The scattered x-rays are observed at an angle of 45.0° to the incident beam. Calculate their wavelength. ...

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Conceptualize Imagine the process in Figure 40.13 ...

Question: 40.2

The Quantized Oscillator A 2.00-kg block is attached to a massless spring that has a force constant of k = 25.0 N/m. The spring is stretched 0.400 m from its equilibrium position and released from rest. (A) Find the total energy of the system and the frequency of oscillation according to classical ...

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(A) Conceptualize We understand the details of the...

Question: 40.1

Thermal Radiation from Different Objects (A) Find the peak wavelength of the blackbody radiation emitted by the human body when the skin temperature is 35°C. (B) Find the peak wavelength of the blackbody radiation emitted by the tungsten filament of a lightbulb, which operates at 2 000 K. ...

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(A) Conceptualize Thermal radiation is emitted fro...

Question: 39.10

Mass Change in a Radioactive Decay The ^216Po nucleus is unstable and exhibits radioactivity (Chapter 44). It decays to ^212Pb by emitting an alpha particle,which is a helium nucleus, ^4He. The relevant masses are mi = m(^216Po) = 216.001 915 u and ...

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(A) Conceptualize The initial system is the [latex...

Question: 39.9

The Energy of a Speedy Proton (A) Find the rest energy of a proton in units of electron volts. (B) If the total energy of a proton is three times its rest energy, what is the speed of the proton? (C) Determine the kinetic energy of the proton in units of electron volts. (D) What is the proton’s ...

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(A) Conceptualize Even if the proton is not moving...

Question: 39.8

Linear Momentum of an Electron An electron, which has a mass of 9.11 × 10^-31 kg, moves with a speed of 0.750c. Find the magnitude of its relativistic momentum and compare this value with the momentum calculated from the classical expression. ...

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Conceptualize Imagine an electron moving with high...

Question: 39.7

Relativistic Leaders of the Pack Two motorcycle pack leaders named David and Emily are racing at relativistic speeds along perpendicular paths as shown in Figure 39.15. How fast does Emily recede as seen by David over his right shoulder? ...

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Conceptualize The two observers are David and the ...

Question: 39.6

Relative Velocity of Two Spacecraft Two spacecraft A and B are moving in opposite directions as shown in Figure 39.14. An observer on the Earth measures the speed of spacecraft A to be 0.750c and the speed of spacecraft B to be 0.850c. Find the velocity of spacecraft B as observed by the crew on ...

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Conceptualize There are two observers, one

...

Question: 39.5

Simultaneity and Time Dilation Revisited (A) Use the Lorentz transformation equations in difference form to show that simultaneity is not an absolute concept. (B) Use the Lorentz transformation equations in difference form to show that a moving clock is measured to run more slowly than a clock that ...

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(A) Conceptualize Imagine two events that are simu...