Mastering Physics with Pearson eText -- Standalone Access Card -- for University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780133978216
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 21, Problem 21.3E
If a proton and an electron are released when they are 2.0 × 10−10 m apart (a typical atomic distance), find the initial acceleration of each particle.
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Critical damping is the case where the mass never actually crosses over equilibrium position, but reaches equilibrium as fast as possible. Experiment with changing c to find the critical damping constant. Use the same initial conditions as in the last problem. Zoom in a bit to make sure you don't allow any oscillations to take place - even small ones.
NASA's KC-135 Reduced Gravity Research aircraft, affectionately known as the "Vomit Comet," is used in training astronauts and testing equipment for microgravity environments. During a typical mission, the aircraft makes approximately 30 to 40 parabolic arcs. During each arc, the aircraft and objects inside it are in free-fall, and
passengers float freely in apparent "weightlessness."
The figure below shows the altitude of the aircraft during a typical mission. It climbs from 24,000 ft to 30,850 ft, where it begins a parabolic arc with a velocity of 155 m/s at 45.0° nose-high and exits with velocity 155 m/s at 45.0° nose-low.
31 000
45° nose high
45° nose low
24 000
Zero g
65
Maneuver time (s)
(a) What is the aircraft's speed (in m/s) at the top of the parabolic arc?
110.0
m/s
(b) What is the aircraft's altitude (in ft) at the top of the parabolic arc?
2.04e+04
What is the initial height at the start of the parabolic arc? What is the initial velocity at this point? What is the final…
Chapter 21 Solutions
Mastering Physics with Pearson eText -- Standalone Access Card -- for University Physics with Modern Physics (14th Edition)
Ch. 21.1 - Two charged objects repel each other through the...Ch. 21.2 - You have two lightweight metal spheres, each...Ch. 21.3 - Suppose that charge q2 in Example 21.4 were 2.0 C....Ch. 21.4 - (a) A negative point charge moves along a...Ch. 21.5 - Suppose that the line of charge in Fig. 21.24...Ch. 21.6 - Suppose the electric field lines in a region of...Ch. 21.7 - An electric dipole is placed in a region of...Ch. 21 - If you peel two strips of transparent tape off the...Ch. 21 - Two metal spheres are hanging from nylon threads....Ch. 21 - The electric force between two charged particles...
Ch. 21 - Your clothing tends to cling together after going...Ch. 21 - An uncharged metal sphere hangs from a nylon...Ch. 21 - BIO Estimate how many electrons there are in your...Ch. 21 - Figure Q2I.7 shows some of the electric field...Ch. 21 - Good conductors of electricity, such as metals,...Ch. 21 - Suppose that the charge shown in Fig. 21.28a is...Ch. 21 - Two identical metal objects are mounted on...Ch. 21 - Because the charges on the electron and proton...Ch. 21 - If you walk across a nylon rug and then touch a...Ch. 21 - You have a negatively charged object. How can you...Ch. 21 - When two point charges of equal mass and charge...Ch. 21 - A point charge of mass m and charge Q and another...Ch. 21 - A proton is placed in a uniform electric field and...Ch. 21 - In Example 21.1 (Section 21.3) we saw that the...Ch. 21 - What similarities do electric forces have with...Ch. 21 - Two irregular objects A and B carry charges of...Ch. 21 - Atomic nuclei are made of protons and neutrons....Ch. 21 - Sufficiently strong electric fields can cause...Ch. 21 - The electric fields at point P due to the positive...Ch. 21 - The air temperature and the velocity of the air...Ch. 21 - Excess electrons are placed on a small lead sphere...Ch. 21 - Lightning occurs when there is a flow of electric...Ch. 21 - If a proton and an electron are released when they...Ch. 21 - Particles in a Gold Ring. You have a pure...Ch. 21 - BIO Signal Propagation in Neurons. Neurons are...Ch. 21 - Two small spheres spaced 20.0 cm apart have equal...Ch. 21 - An average human weighs about 650 N. If each of...Ch. 21 - Two small aluminum spheres, each having mass...Ch. 21 - Two small plastic spheres are given positive...Ch. 21 - Just How Strong Is the Electric Force? Suppose you...Ch. 21 - In an experiment in space, one proton is held...Ch. 21 - A negative charge of 0.550 C exerts an upward...Ch. 21 - Three point charges are arranged on a line. Charge...Ch. 21 - In Example 21.4, suppose the point charge on the...Ch. 21 - In Example 21.3, calculate the net force on charge...Ch. 21 - In Example 21.4, what is the net force (magnitude...Ch. 21 - Three point charges are arranged along the...Ch. 21 - Repeat Exercise 21.17 for q3 = +8.00 C.Ch. 21 - Two point charges are located on the y-axis as...Ch. 21 - Two point charges are placed on the .x -axis as...Ch. 21 - BIO Base Pairing in DNA, I. The two sides of the...Ch. 21 - BIO Base Pairing in DNA, II. Refer to Exercise...Ch. 21 - CP A proton is placed in a uniform electric field...Ch. 21 - A particle has charge 5.00 nC. (a) Find the...Ch. 21 - CP A proton is traveling horizontally to the right...Ch. 21 - CP An electron is released from rest in a uniform...Ch. 21 - (a) What must the charge (sign and magnitude) of a...Ch. 21 - Electric Field of the Earth. The earth has a net...Ch. 21 - CP An electron is projected with an initial speed...Ch. 21 - (a) Calculate the magnitude and direction...Ch. 21 - CP In Exercise 21.29, what is the speed of the...Ch. 21 - CP A uniform electric field exists in the region...Ch. 21 - A point charge is at the origin. With this point...Ch. 21 - A +8.75-C point charge is glued down on a...Ch. 21 - (a) An electron is moving east in a uniform...Ch. 21 - Two point charges Q and +q (where q is positive)...Ch. 21 - Two positive point charges q are placed on the...Ch. 21 - The two charges q1 and q2 shown in Fig. E21.38...Ch. 21 - A +2.00-nC point charge is at the origin, and a...Ch. 21 - Repeat Exercise 21.39, hut now let the charge at...Ch. 21 - Three negative point charges lie along a line as...Ch. 21 - A point charge is placed at each corner of a...Ch. 21 - Two point charges are separated by 25.0 cm (Fig....Ch. 21 - Point charge q1 = 5.00 nC is at the origin and...Ch. 21 - If two electrons are each 1.50 1010 m from a...Ch. 21 - BIO Electric Field of Axons. A nerve signal is...Ch. 21 - In a rectangular coordinate system a positive...Ch. 21 - A point charge q1 = 4.00 nC is at the point x =...Ch. 21 - A charge of 6.50nC is spread uniformly over the...Ch. 21 - A very long, straight wire has charge per unit...Ch. 21 - A ring-shaped conductor with radius a = 2.50 cm...Ch. 21 - A straight, nonconducting plastic wire 8.50 cm...Ch. 21 - Point charges q1 = 4.5 nC and q2 = +4.5 nC are...Ch. 21 - The ammonia molecule (NH3) has a dipole moment of...Ch. 21 - Torque on a Dipole. An electric dipole with dipole...Ch. 21 - The dipole moment of the water molecule (H2O) is...Ch. 21 - Three charges are at the corners of an isosceles...Ch. 21 - Consider the electric dipole of Example 21.14. (a)...Ch. 21 - Four identical charges Q are placed at the corners...Ch. 21 - Two charges are placed on the x-axis: one, of 2.50...Ch. 21 - A charge q1 = +5.00 nC is placed at the origin of...Ch. 21 - CP Two identical spheres with mass m are hung from...Ch. 21 - CP Two small spheres with mass m = 15.0 g are hung...Ch. 21 - CP Two identical spheres are each attached to silk...Ch. 21 - CP A small 12.3-g plastic ball is tied to a very...Ch. 21 - Point charge q1 = 6.00 106 C is on the x-axis at...Ch. 21 - Two particles having charges q1 = 0.500 nC and q2...Ch. 21 - A 3.00-nC point charge is on the x-axis at x =...Ch. 21 - A charge +Q is located at the origin, and a charge...Ch. 21 - A charge of 3.00 nC is placed at the origin of an...Ch. 21 - Three identical point charges q are placed at each...Ch. 21 - Two point charges q1 and q2 are held in place 4.50...Ch. 21 - CP Strength of the Electric Force. Imagine two...Ch. 21 - CP Two tiny spheres of mass 6.80 mg carry charges...Ch. 21 - CP Consider a model of a hydrogen atom in which an...Ch. 21 - The earth has a downward-directed electric field...Ch. 21 - CP A proton is projected into a uniform electric...Ch. 21 - A small object with mass m, charge q, and initial...Ch. 21 - CALC Positive charge Q is distributed uniformly...Ch. 21 - In a region where there is a uniform electric...Ch. 21 - A negative point charge q1 = 4.00 nC is on the...Ch. 21 - CALC Positive charge Q is distributed uniformly...Ch. 21 - A uniformly charged disk like the disk in Fig....Ch. 21 - CP A small sphere with mass m carries a positive...Ch. 21 - CALC Negative charge Q is distributed uniformly...Ch. 21 - CALC A semicircle of radius a is in the first and...Ch. 21 - Two 1.20-m non- conducting rods meet at a right...Ch. 21 - Two very large parallel sheets are 5.00 cm apart....Ch. 21 - Repeat Problem 21.88 for the case where sheet B is...Ch. 21 - Two very large horizontal sheets are 4.25 cm apart...Ch. 21 - CP A thin disk with a circular hole at its center,...Ch. 21 - DATA CP Design of an Inkjet Printer. Inkjet...Ch. 21 - DATA Two small spheres, each carrying a net...Ch. 21 - DATA Positive charge Q is distributed uniformly...Ch. 21 - Three charges are placed as shown in Fig. P21.95....Ch. 21 - Two charges are placed as shown in Fig. P21.96....Ch. 21 - CALC Two thin rods of length L lie along the...Ch. 21 - BIO ELECTRIC BEES. Flying insects such as bees may...Ch. 21 - BIO ELECTRIC BEES. Flying insects such as bees may...Ch. 21 - After one bcc left a flower with a positive...Ch. 21 - In a follow-up experiment, a charge of +40 pC was...
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