Physics
3rd Edition
ISBN: 9780073512150
Author: Alan Giambattista, Betty Richardson, Robert C. Richardson Dr.
Publisher: McGraw-Hill Education
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Chapter 21, Problem 1MCQ
To determine
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Consider the series
M8
3
ཱ|༤༠
n=0
5n
a. Find the general formula for the sum of the first k terms. Your answer should be in terms of k.
Sk=3
1
5
5
k
b. The sum of a series is defined as the limit of the sequence of partial sums, which means
k
3
5n
1-
= lim
3
k→∞
n=0
4
15
4
c. Select all true statements (there may be more than one correct answer):
A. The series is a geometric series.
B. The series converges.
C. The series is a telescoping series (i.e., it is like a collapsible telescope).
D. The series is a p-series.
A uniform ladder of length L and weight w is leaning against a vertical wall. The coefficient of static friction between the ladder and the floor is the same as that between the ladder and the wall. If this
coefficient of static friction is μs : 0.535, determine the smallest angle the ladder can make with the floor without slipping.
°
=
A 14.0 m uniform ladder weighing 480 N rests against a frictionless wall. The ladder makes a 55.0°-angle with the horizontal.
(a) Find the horizontal and vertical forces (in N) the ground exerts on the base of the ladder when an 850-N firefighter has climbed 4.10 m along the ladder from the bottom.
horizontal force
magnitude
342.
N
direction
towards the wall
✓
vertical force
1330
N
up
magnitude
direction
(b) If the ladder is just on the verge of slipping when the firefighter is 9.10 m from the bottom, what is the coefficient of static friction between ladder and ground?
0.26
×
You appear to be using 4.10 m from part (a) for the position of the…
Your neighbor designs automobiles for a living. You are fascinated with her work. She is designing a new automobile and needs to determine how strong the front suspension should be. She knows of
your fascination with her work and your expertise in physics, so she asks you to determine how large the normal force on the front wheels of her design automobile could become under a hard stop,
ma
when the wheels are locked and the automobile is skidding on the road. She gives you the following information. The mass of the automobile is m₂ = 1.10 × 103 kg and it can carry five passengers of
average mass m = 80.0 kg. The front and rear wheels are separated by d = 4.45 m. The center of mass of the car carrying five passengers is dCM = 2.25 m behind the front wheels and
hcm = 0.630 m above the roadway. A typical coefficient of kinetic friction between tires and roadway is μk 0.840. (Caution: The braking automobile is not in an inertial reference frame. Enter the
magnitude of the force in N.)…
Chapter 21 Solutions
Physics
Ch. 21.1 - CHECKPOINT 21.1
A hair dryer is labeled “120 V,...Ch. 21.1 -
Practice Problem 21.1 European Wall Outlet
The...Ch. 21.3 - 21.3 A capacitor is connected to an ac power...Ch. 21.3 - Prob. 21.2PPCh. 21.4 -
CHECKPOINT 21.4
Suppose an inductor and a...Ch. 21.4 - Prob. 21.3PPCh. 21.5 -
CHECKPOINT 21.5
In a series RLC circuit, the...Ch. 21.5 - Prob. 21.4PPCh. 21.5 - Prob. 21.5PPCh. 21.6 - 21.6 Tuning the Radio to a Different Station
Find...
Ch. 21 - Prob. 1CQCh. 21 - 2. Electric power is distributed long distances...Ch. 21 - 3. Explain the differences between average...Ch. 21 - Prob. 4CQCh. 21 - Prob. 5CQCh. 21 - Prob. 6CQCh. 21 - Prob. 7CQCh. 21 - Prob. 8CQCh. 21 - Prob. 9CQCh. 21 - Prob. 10CQCh. 21 - Prob. 11CQCh. 21 - Prob. 12CQCh. 21 - Prob. 13CQCh. 21 - Prob. 14CQCh. 21 - Prob. 15CQCh. 21 - Prob. 16CQCh. 21 - Prob. 17CQCh. 21 - 18. Let’s examine the crossover network of Fig....Ch. 21 - Prob. 1MCQCh. 21 - Prob. 2MCQCh. 21 - Prob. 3MCQCh. 21 - Prob. 4MCQCh. 21 - Prob. 5MCQCh. 21 - Prob. 6MCQCh. 21 - Prob. 7MCQCh. 21 - Prob. 8MCQCh. 21 - Prob. 9MCQCh. 21 -
10. Which graph is correct if the circuit...Ch. 21 - 1. A lightbulb is connected to a 120 V (rms), 60...Ch. 21 - 3. A 1500 w heater runs on 120 V rms. What is the...Ch. 21 - 4. A circuit breaker trips when the rms current...Ch. 21 - 5. A 1500 W electric hair dryer is designed to...Ch. 21 - 6. A 4.0 kW heater is designed to be connected to...Ch. 21 - 7. (a) What rms current is drawn by a 4200 w...Ch. 21 - 8. A television set draws an rms current of 2.50 A...Ch. 21 - 9. The instantaneous sinusoidal emf from an ac...Ch. 21 - 10. A hair dryer has a power rating of 1200 W at...Ch. 21 - Prob. 11PCh. 21 -
12. A variable capacitor with negligible...Ch. 21 -
13. At what frequency is the reactance of a 6.0...Ch. 21 - 14. A 0.400 μF capacitor is connected across the...Ch. 21 -
15. A 0.250 μF capacitor is connected to a 220 V...Ch. 21 -
16. A capacitor is connected across the terminals...Ch. 21 - 17. Show, from XC = l/(ωC), that the units of...Ch. 21 - 18. The charge on a capacitor in an ac circuit is...Ch. 21 - 19. A capacitor (capacitance = C) is connected to...Ch. 21 - 20. Three capacitors (2.0 μF, 3.0 μF, 6.0 μF) are...Ch. 21 - 21. A capacitor and a resistor are connected in...Ch. 21 - 22. A variable inductor with negligible resistance...Ch. 21 - Prob. 23PCh. 21 - Prob. 24PCh. 21 - 25. A solenoid with a radius of 8.0 × 10−3 m and...Ch. 21 -
26. A 4.00 mH inductor is connected to an ac...Ch. 21 - 27. Two ideal inductors (0.10 H, 0.50 H) are...Ch. 21 - Prob. 28PCh. 21 - 29. Suppose that an ideal capacitor and an ideal...Ch. 21 - 30. The voltage across an inductor and the...Ch. 21 - 31. Make a figure analogous to Fig. 21.5 for an...Ch. 21 - 32. A 25.0 mH inductor, with internal resistance...Ch. 21 - 33. An inductor has an impedance of 30.0 Ω and a...Ch. 21 -
34. A 6.20 mH inductor is one of the elements in...Ch. 21 - 35. A series combination of a resistor and a...Ch. 21 - 36. A 300.0 Ω resistor and a 2.5 μF capacitor are...Ch. 21 - Prob. 37PCh. 21 - 38. (a) Find the power factor for the RLC series...Ch. 21 - 39. A computer draws an rms current of 2.80 A at...Ch. 21 - 40. An RLC series circuit is connected to an ac...Ch. 21 - 41. An ac circuit has a single resistor,...Ch. 21 -
42. An RLC circuit has a resistance of 10.0 Ω,...Ch. 21 - 43. An ac circuit contains a 12.5 Ω resistor, a...Ch. 21 - 44. ✦ A 0.48 μF capacitor is connected in series...Ch. 21 - 45. A series combination of a 22.0 mH inductor...Ch. 21 - Prob. 46PCh. 21 -
47. A 150 Ω resistor is in series with a 0.75...Ch. 21 -
48. A series circuit with a resistor and a...Ch. 21 - 49. (a) What is the reactance of a 10.0 mH...Ch. 21 - Prob. 50PCh. 21 - Prob. 51PCh. 21 - Prob. 52PCh. 21 - Prob. 53PCh. 21 - Prob. 54PCh. 21 - 55. To test hearing at various frequencies, a...Ch. 21 - Prob. 56PCh. 21 - Prob. 57PCh. 21 - Prob. 58PCh. 21 - Prob. 59PCh. 21 - Prob. 60PCh. 21 - Prob. 61PCh. 21 - Prob. 62PCh. 21 - Prob. 63PCh. 21 - Prob. 64PCh. 21 - Prob. 65PCh. 21 - Prob. 66PCh. 21 - Prob. 67PCh. 21 - Prob. 68PCh. 21 - Prob. 69PCh. 21 - 70. The phasor diagram for a particular RLC series...Ch. 21 - Prob. 71PCh. 21 - Prob. 72PCh. 21 - Prob. 73PCh. 21 - Prob. 74PCh. 21 - Prob. 75PCh. 21 - Prob. 76PCh. 21 - Prob. 77PCh. 21 - Prob. 78PCh. 21 - Prob. 79PCh. 21 - Prob. 80PCh. 21 - Prob. 81PCh. 21 - Prob. 82PCh. 21 - Prob. 83PCh. 21 - Prob. 84PCh. 21 - 85. (a) When the resistance of an RLC series...Ch. 21 - Prob. 86PCh. 21 - Prob. 87PCh. 21 - Prob. 88PCh. 21 - Prob. 89PCh. 21 - Prob. 90PCh. 21 - Prob. 91PCh. 21 - Prob. 92PCh. 21 - Prob. 93PCh. 21 - Prob. 94PCh. 21 - Prob. 95PCh. 21 - Prob. 96PCh. 21 - Prob. 97PCh. 21 - Prob. 98PCh. 21 - Prob. 99PCh. 21 - Prob. 100PCh. 21 - Prob. 101P
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