College Physics for AP Courses
1st Edition
ISBN: 9781630181871
Author: OpenStax, Ima Lyubkinskaya, Gregg Wolfe Douglas, Ingram, Liza Puiji, Sudhi Oberoi Nathan, Czuba
Publisher: OpenStax College.
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Textbook Question
Chapter 19, Problem 40PE
Sketch the equipotential lines in the vicinity of two opposite charges, where the negative charge is three times as great in magnitude as the positive. See Figure 19.28 for a similar situation. Indicate the direction of increasing potential.
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A ball is thrown with an initial speed v, at an angle 6, with the horizontal. The horizontal range of the ball is R, and the ball reaches a maximum height R/4. In terms of R and g, find the following.
(a) the time interval during which the ball is in motion
2R
(b) the ball's speed at the peak of its path
v=
Rg 2
√ sin 26, V 3
(c) the initial vertical component of its velocity
Rg
sin ei
sin 20
(d) its initial speed
Rg
√ sin 20
×
(e) the angle 6, expressed in terms of arctan of a fraction.
1
(f) Suppose the ball is thrown at the same initial speed found in (d) but at the angle appropriate for reaching the greatest height that it can. Find this height.
hmax
R2
(g) Suppose the ball is thrown at the same initial speed but at the angle for greatest possible range. Find this maximum horizontal range.
Xmax
R√3
2
An outfielder throws a baseball to his catcher in an attempt to throw out a runner at home plate. The ball bounces once before reaching the catcher. Assume the angle at which the bounced ball leaves the ground is the same as the angle at which the outfielder threw it as shown in the figure, but that the ball's speed after the bounce is one-half of what it was before the bounce.
8
(a) Assuming the ball is always thrown with the same initial speed, at what angle & should the fielder throw the ball to make it go the same distance D with one bounce (blue path) as a ball thrown upward at 35.0° with no bounce (green path)?
24
(b) Determine the ratio of the time interval for the one-bounce throw to the flight time for the no-bounce throw.
Cone-bounce
no-bounce
0.940
Chapter 19 Solutions
College Physics for AP Courses
Ch. 19 - Voltage is the common word for potential...Ch. 19 - It the voltage between two points is zero, can a...Ch. 19 - What is the relationship between voltage and...Ch. 19 - Voltages are always measured between two points....Ch. 19 - How are units of volts and electron volts related?...Ch. 19 - Discuss how potential difference and electric...Ch. 19 - What is the strength of the electric field in a...Ch. 19 - Will a negative charge, initially at rest, move...Ch. 19 - In what region of space is the potential due to a...Ch. 19 - Can the potential of a non-uniformly charged...
Ch. 19 - What is an equipotential line? What is an...Ch. 19 - Explain in your own words why equipotential lines...Ch. 19 - Can different equipotential lines cross? Explain.Ch. 19 - Does the capacitance of a device depend on the...Ch. 19 - Use the characteristics of the of the Coulomb...Ch. 19 - Give the reason why a dielectric material...Ch. 19 - How does the polar character of water molecules...Ch. 19 - Sparks will occur between the plates of an air...Ch. 19 - Water has a large dielectric constant, but it is...Ch. 19 - Membranes ii living cells, including those in...Ch. 19 - If you wish to store a large amount of energy m a...Ch. 19 - How does the energy contained in a charged...Ch. 19 - What happens to the energy stored in a capacitor...Ch. 19 - Find the ratio of speeds of an electron and a...Ch. 19 - An evacuated tube uses an accelerating voltage of...Ch. 19 - A bare helium nucleus has two positive charges and...Ch. 19 - Integrated Concepts Singly charged gas ions are...Ch. 19 - Integrated Concepts The temperature near the...Ch. 19 - Integrated Concepts (a) What is the average power...Ch. 19 - Integrated Concepts A lightning bolt strikes a...Ch. 19 - Integrated Concepts: A 12.0 V battery-operated...Ch. 19 - Integrated Concepts A battery-operated car...Ch. 19 - Integrated Concepts Fusion probability is greatly...Ch. 19 - Unreasonable Results (a) Find the voltage near a...Ch. 19 - Construct Your Own Problem Consider a battery used...Ch. 19 - Show that units of Vim and N/C for electric field...Ch. 19 - What is the strength of the electric field between...Ch. 19 - The electric field strength between two parallel...Ch. 19 - How far apart are two conducting plates that have...Ch. 19 - (a) Will the electric field strength between two...Ch. 19 - The voltage across a membrane forming a cell wall...Ch. 19 - Membrane walls of living cells have surprisingly...Ch. 19 - Two parallel conducting plates are separated by...Ch. 19 - Find the maximum potential difference between two...Ch. 19 - A doubly charged ion is accelerated to an energy...Ch. 19 - An electron is to be accelerated in a uniform...Ch. 19 - A 0.500 cm diameter plastic sphere, used in a...Ch. 19 - What is the potential 0.530 x 10-10 m from a...Ch. 19 - (a) A sphere has a surface uniformly charged with...Ch. 19 - How far from a 1.00 C point charge will the...Ch. 19 - What are the sign and magnitude of a point charge...Ch. 19 - If the potential due to a point charge is 5.00 102...Ch. 19 - In nuclear fission. a nucleus splits roughly in...Ch. 19 - A research Van de Graaff generator has a 2.00-rn-...Ch. 19 - An electrostatic paint sprayer has a...Ch. 19 - In one of the classic nuclear physics experiments...Ch. 19 - (a) What is the potential between two points...Ch. 19 - Unreasonable Results (a) What is the final speed...Ch. 19 - (a) Sketch the equipotential lines near a point...Ch. 19 - Sketch the equipotential lines for the two equal...Ch. 19 - Figure 19.28 shows the electric field lines near...Ch. 19 - Sketch the equipotential lines a long distance...Ch. 19 - Sketch the equipotential lines in the vicinity of...Ch. 19 - Sketch the equipotential lines in the vicinity of...Ch. 19 - Sketch the equipotential lines surrounding the two...Ch. 19 - (a) Sketch the electric field lines in the...Ch. 19 - The naturally occurring charge on the ground on a...Ch. 19 - The lesser electric ray (Narcine bancroftii)...Ch. 19 - What charge is stored in a 180 F capacitor when...Ch. 19 - Find the charge stored when 5.50 V is applied to...Ch. 19 - What charge is stored in the capacitor in Example...Ch. 19 - Calculate the voltage applied to a 2.00 F...Ch. 19 - What voltage must be applied to an 8.00 nF...Ch. 19 - What capacitance is needed to store 3.00 C of...Ch. 19 - What is the capacitance of a large Van de Graaff...Ch. 19 - Find the capacitance of a parallel plate capacitor...Ch. 19 - (a) What is the capacitance of a parallel plate...Ch. 19 - Integrated Concepts A prankster applies 450 V to...Ch. 19 - Unreasonable Results (a) A certain parallel plate...Ch. 19 - Find the total capacitance of the combination of...Ch. 19 - Suppose you want a capacitor bank with a total...Ch. 19 - What total capacitances can you make by connecting...Ch. 19 - Find the total capacitance of the combination of...Ch. 19 - Find the total capacitance of the combination of...Ch. 19 - Unreasonable Results (a) An 8.00 F capacitor is...Ch. 19 - (a) What is the energy stored in the 10.0 F...Ch. 19 - In open heart surgery. a much smaller amount of...Ch. 19 - A 165 F capacitor is used in conjunction with a...Ch. 19 - Suppose you have a 9.00 V battery, a 2.00 F...Ch. 19 - A nervous physicist worries that the two metal...Ch. 19 - Show that for a given dielectric material the...Ch. 19 - Construct Your Own Problem Consider a heart...Ch. 19 - Unreasonable Results (a) On a particular day, it...
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