University Physics Volume 2
18th Edition
ISBN: 9781938168161
Author: OpenStax
Publisher: OpenStax
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Chapter 10, Problem 70AP
A homemade capacitor is constructed of 2 sheets of aluminum foil with an area of 2.00 square meters, separated by paper, 0.05 mm thick, of the same area and a dielectric constant of 3.7. The homemade capacitor is connected in series with a 100,00-
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8.114 CALC A Variable-Mass Raindrop. In a rocket-propul-
sion problem the mass is variable. Another such problem is a rain-
drop falling through a cloud of small water droplets. Some of these
small droplets adhere to the raindrop, thereby increasing its mass
as it falls. The force on the raindrop is
dp
dv
dm
Fext
=
+
dt
dt
dt
=
Suppose the mass of the raindrop depends on the distance x that it
has fallen. Then m kx, where k is a constant, and dm/dt = kv.
This gives, since Fext
=
mg,
dv
mg = m
+ v(kv)
dt
Or, dividing by k,
dv
xgx
+ v²
dt
This is a differential equation that has a solution of the form
v = at, where a is the acceleration and is constant. Take the initial
velocity of the raindrop to be zero. (a) Using the proposed solution
for v, find the acceleration a. (b) Find the distance the raindrop has
fallen in t = 3.00 s. (c) Given that k = 2.00 g/m, find the mass of
the raindrop at t = 3.00 s. (For many more intriguing aspects of
this problem, see K. S. Krane, American Journal of…
8.13 A 2.00-kg stone is sliding Figure E8.13
F (kN)
to the right on a frictionless hori-
zontal surface at 5.00 m/s when
it is suddenly struck by an object
that exerts a large horizontal
force on it for a short period of 2.50
time. The graph in Fig. E8.13
shows the magnitude of this force
as a function of time. (a) What
impulse does this force exert on
t (ms)
15.0
16.0
the stone? (b) Just after the force stops acting, find the magnitude
and direction of the stone's velocity if the force acts (i) to the right
or (ii) to the left.
Please calculate the expectation value for E and the uncertainty in E for this wavefunction trapped in a simple harmonic oscillator potential
Chapter 10 Solutions
University Physics Volume 2
Ch. 10 - Check Your Understanding If you place a wire...Ch. 10 - Check Your Understanding Some strings of miniature...Ch. 10 - Check Your Understanding Consider the same...Ch. 10 - Check Your Understanding How would you use a river...Ch. 10 - Check Your Understanding Consider the electrical...Ch. 10 - Check Your Understanding In considering the...Ch. 10 - Check Your Understanding When using Kirchhoff’s...Ch. 10 - Check Your Understanding Digital meters are able...Ch. 10 - What effect will the internal resistance of a...Ch. 10 - A battery with an internal resistance of r and an...
Ch. 10 - Show that the power dissipated by the load...Ch. 10 - A voltage occurs across an open switch. What is...Ch. 10 - The severity of a shock depends on die magnitude...Ch. 10 - Suppose you are doing a physics lab that asks you...Ch. 10 - Some light bulbs have three power settings (not...Ch. 10 - Can all of die currents going into the junction...Ch. 10 - Consider the circuit shown below. Does the...Ch. 10 - Do batteries in a circuit always supply power to a...Ch. 10 - What are the advantages and disadvantages of...Ch. 10 - Semi-truck or trucks use four large 12-V...Ch. 10 - What would happen if you placed a voltmeter in...Ch. 10 - What is die basic operation of an ohmmeter as it...Ch. 10 - Why should you not connect an ammeter directly...Ch. 10 - A battery, switch, capacitor, and lamp are...Ch. 10 - When making an ECG measurement, it is important to...Ch. 10 - Why isn’t a short circuit necessarily a shock...Ch. 10 - We are often advised to not flick electric...Ch. 10 - A car battery with a 12-V emf and an internal...Ch. 10 - The label on a battery-powered radio recommends...Ch. 10 - An automobile starter motor has an equivalent...Ch. 10 - (a) What is the internal resistance of a voltage...Ch. 10 - A person with body resistance between his hands of...Ch. 10 - A 12.0-V emf automobile battery has a terminal...Ch. 10 - (a) What is the resistance of a 1.00102 , a 2.50k...Ch. 10 - What are the largest and smallest resistances yon...Ch. 10 - An 1800-W toaster, a 1400-W speaker, and a 75-W...Ch. 10 - Your car’s 30.0-W headlight and 2.40-kW starter...Ch. 10 - (a) Given a 48.0-V battery and 24.0- and 96.0- ...Ch. 10 - Referring to the example combining series and...Ch. 10 - Referring to Figure 10.16, (a) Calculate P3and...Ch. 10 - Refer to Figure 10.17 and the discussion of lights...Ch. 10 - Show that if two resistors R1 and R2 are combined...Ch. 10 - Consider the circuit shown below. The terminal...Ch. 10 - Consider the circuit shown below, (a) Find the...Ch. 10 - Consider the circuits shown below, (a) What is the...Ch. 10 - Consider the circuit shown below. Find V1,I2, and...Ch. 10 - Consider the circuit shown below. Find V1, V2, and...Ch. 10 - Consider the circuit shown below. Find I1, I2,and...Ch. 10 - Consider the circuit shown below, (a)...Ch. 10 - Consider the circuit shown below. Write the three...Ch. 10 - Consider the circuit shown below. Write equations...Ch. 10 - Consider the circuit shown in the preceding...Ch. 10 - A child's electronic toy is supplied by three...Ch. 10 - Apply the junction rule to Junction b shown below....Ch. 10 - Apply the loop rule to Loop afedcba in die...Ch. 10 - Suppose you measure the terminal voltage of a...Ch. 10 - The timing device in an automobile's intermittent...Ch. 10 - A heart pacemaker fires 72 times a minute, each...Ch. 10 - The duration of a photographic flash is related to...Ch. 10 - A 2.00- and a 7.50F capacitor can be connected in...Ch. 10 - A 500 resistor, an uncharged 1.50F capacitor,and a...Ch. 10 - A heart defibrillator being used on a patient has...Ch. 10 - An ECG monitor must have an KC time constant...Ch. 10 - Using the exact exponential treatment, determine...Ch. 10 - If you wish to take a picture of a bullet...Ch. 10 - (a) How much power is dissipated in a short...Ch. 10 - What voltage is involved in a 1.44-kW short...Ch. 10 - Find the current through a person and identify the...Ch. 10 - While taking a bath, a person touches the metal...Ch. 10 - A man foolishly tries to fish a burning piece of...Ch. 10 - (a) During surgery, a current as small as 20.0A...Ch. 10 - (a) What is the resistance of a 220-V ac short...Ch. 10 - A heart defibrillator passes 10.0 A through a...Ch. 10 - A short circuit in a 120-V appliance cord has...Ch. 10 - A circuit contains a D cell battery, a switch, a...Ch. 10 - A circuit contains a D-cell battery, a switch, a...Ch. 10 - Consider the circuit below. The battery has an emf...Ch. 10 - A homemade capacitor is constructed of 2 sheets of...Ch. 10 - A student makes a homemade resistor from a...Ch. 10 - The rather simple circuit shown below is known as...Ch. 10 - Three 300- resistors areconnect in series with...Ch. 10 - Consider a circuit that consists of a real battery...Ch. 10 - Consider the circuit shown below. What is the...Ch. 10 - Consider a circuit consisting of a battery with an...Ch. 10 - Consider the circuit shown below. The terminal...Ch. 10 - Consider the circuit shown below. (a) What is the...Ch. 10 - Consider the circuit shown below. (a)Determine the...Ch. 10 - Two resistors, one having a resistance of 145 ,...Ch. 10 - Two resistors, one having a resistance of 900k are...Ch. 10 - Apply the junction rule at point G shown below.Ch. 10 - Apply the loop rule to Loop akledcba in the...Ch. 10 - Find the currants flowing in the circuit in the...Ch. 10 - Consider the circuit shown below, (a) Find the...Ch. 10 - A flashing lamp in a Christmas earring is based on...Ch. 10 - A 160F capacitor charged to 450 V is...Ch. 10 - Some camera flashes use flash tubes that requite a...Ch. 10 - Consider the circuit shown below. Each battery has...Ch. 10 - Analog meters use a galvanometer, which...Ch. 10 - Analog meters use a galvanometer, which...Ch. 10 - Consider the circuit shown below. Find I1, V1, I2,...Ch. 10 - Consider the circuit below.(a) What is the RC time...Ch. 10 - Consider the circuit below, (a) What is the...Ch. 10 - Consider the infinitely long chain of resistors...Ch. 10 - Consider the circuit below. The capacitor has a...Ch. 10 - A 120-V immersion heater consists of a coil of...Ch. 10 - Find the resistance that must be placed in series...Ch. 10 - Find the resistance that must be placed in...
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