University Physics Volume 3
17th Edition
ISBN: 9781938168185
Author: William Moebs, Jeff Sanny
Publisher: OpenStax
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Textbook Question
Chapter 10, Problem 12CQ
Why is Earth’s core molten?
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Portfolio Problem 4. Consider two identical springs, each with natural length
and spring constant k, attached to a horizontal frame at distance 2l apart. Their
free ends are attached to the same particle of mass m, which is hanging under
gravity. Let z denote the vertical displacement of the particle from the hori-
zontal frame, so that z < 0 when the particle is below the frame, as shown in
the figure. The particle has zero horizontal velocity, so that the motion is one
dimensional along z.
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(a) Show that the total force acting on the particle is
X
F-mg k-2kz 1
(1.
l
k.
(b) Find the potential energy U(x, y, z) of the system such that U
x = : 0.
= O when
(c) The particle is pulled down until the springs are each of length 3l, and then
released. Find the velocity of the particle when it crosses z = 0.
In the figure below, a semicircular conductor of radius R = 0.260 m is rotated about the axis AC at a constant rate of 130 rev/min. A uniform magnetic field of magnitude 1.22 T fills the entire region below the axis and is directed out of the page.
R
Pout
(a) Calculate the maximum value of the emf induced between the ends of the conductor.
1.77
v
(b) What is the value of the average induced emf for each complete rotation?
0
v
(c) How would your answers to parts (a) and (b) change if the magnetic field were allowed to extend a distance R above the axis of rotation? (Select all that apply.)
The value in part (a) would increase.
The value in part (a) would remain the same.
The value in part (a) would decrease.
The value in part (b) would increase.
The value in part (b) would remain the same.
The value in part (b) would decrease.
×
(d) Sketch the emf versus time when the field is as drawn in the figure. Choose File No file chosen
This answer has not been graded yet.
(e) Sketch the emf…
Portfolio Problem 2. A particle of mass m slides in a straight line (say along i)
on a surface, with initial position x ©0 and initial velocity Vo > 0 at t = 0. The
=
particle is subject to a constant force F = -mai, with a > 0.
While sliding on the surface, the particle is also subject to a friction force
v
Ff
= -m fo
= −m fov,
with fo > 0, i.e., the friction force has constant magnitude mfo and is always
opposed to the motion. We also assume fo 0, and solve it to find v(t) and x(t).
How long does it take for the particle to come to a stop? How far does it travel?
(b) After coming to a stop, the particle starts sliding backwards with negative
velocity. Write the equation of motion in this case, and solve it to find the time
at which the particle returns to the original position, x = 0. Show that the final
speed at x 0 is smaller than Vo.
=
Express all your answers in terms of a, fo and Vo.
Chapter 10 Solutions
University Physics Volume 3
Ch. 10 - Check Your Understanding Nucleus X is two times...Ch. 10 - Check Your Understanding If the binding energy per...Ch. 10 - Check Your Understanding A radioactive nuclide has...Ch. 10 - Check Your Understanding In radioactive beta...Ch. 10 - Check Your Understanding Which has a larger energy...Ch. 10 - Check Your Understanding Where does the energy...Ch. 10 - Check Your Understanding Radiation propagates in...Ch. 10 - Define and make clear distinctions between the...Ch. 10 - What are isotopes? Why do isotopes of the same...Ch. 10 - Explain why a bound system should have less mass...
Ch. 10 - Why is the number of neutrons greater than the...Ch. 10 - To obtain the most precise value of the binding...Ch. 10 - How is the initial activity rate of a radioactive...Ch. 10 - For the carbon dating described in this chapter,...Ch. 10 - What is the key difference and the key similarity...Ch. 10 - What is the difference between rays and...Ch. 10 - What characteristics of radioactivity show it to...Ch. 10 - Consider Figure 10.12. If the magnetic field is...Ch. 10 - Why is Earth’s core molten?Ch. 10 - Should an atomic bomb really be called nuclear...Ch. 10 - Why does a chain reaction occur dining a fission...Ch. 10 - In what way is ail atomic nucleus like a liquid...Ch. 10 - Explain the difference between nuclear fission and...Ch. 10 - Why does the fusion of light nuclei into heavier...Ch. 10 - IB. Wliv is a PET scan more accurate than a SPECT...Ch. 10 - Isotopes that emit a radiation are relatively safe...Ch. 10 - Ionizing radiation can impair the ability of a...Ch. 10 - Find the atomic numbers, mass numbers, and neutron...Ch. 10 - Silver has two stable isotopes. The nucleus,...Ch. 10 - The mass (M) and the radius (r) of a nucleus can...Ch. 10 - A particle has a mass equal to 10 u. If this mass...Ch. 10 - Find the length of a side of a cube having a mass...Ch. 10 - The detail that you can observe using a probe is...Ch. 10 - How much energy would be released if six hydrogen...Ch. 10 - Find the mass defect and the binding energy for...Ch. 10 - 56 Fe is among the most tightly bound of all...Ch. 10 - is the heaviest stable nuclide, and its BEN is low...Ch. 10 - (a) Calculate BEN for 235U, the rarer of the two...Ch. 10 - The fact that BEN peaks at roughly A = 60 implies...Ch. 10 - A sample of radioactive material is obtained from...Ch. 10 - Show that: T=1.Ch. 10 - The half-life of strondum-91, 3891Sris 9.70 h....Ch. 10 - A sample of pure carbon-14 ( T1/2=5730y ) has an...Ch. 10 - A radioactive sample initially contains 2.40102...Ch. 10 - An old campfire is uncovered during an...Ch. 10 - Calculate the activity R , in curies of 1.00 g of...Ch. 10 - Natural uranium consists of 235U(percent abundance...Ch. 10 - World War II aircraft bad instruments with glowing...Ch. 10 - , The 210Po source used in a physics laboratory is...Ch. 10 - Armor-piercing shells with depleted uranium cores...Ch. 10 - undergoes alpha decay, (a) Write the reaction...Ch. 10 - (a) Calculate the energy released in the a decay...Ch. 10 - The particles emitted in the decay of 3H (tritium)...Ch. 10 - (a) Write the complete decay equation for 90Sr, a...Ch. 10 - Write a nuclear decay reaction that produces the...Ch. 10 - Write the complete decay equation in the complete...Ch. 10 - If a 1.50-cm-thick piece of lead can absorb 90.0%...Ch. 10 - An electron can interact with a nucleus through...Ch. 10 - (a) Write the complete reaction equation for...Ch. 10 - A rare decay mode has been observed in which...Ch. 10 - A large power reactor that has been in operation...Ch. 10 - (a) Calculate the energy released in the neutron-...Ch. 10 - (a) Calculate the energy released in the neutron-...Ch. 10 - The electrical power output of a large nuclear...Ch. 10 - Find the total energy released if 1.00 kg of...Ch. 10 - Verify that the total number of nucleons, and...Ch. 10 - Calculate the energy output in each of the fusion...Ch. 10 - Show that the total energy released in the proton-...Ch. 10 - Two fusion reactions mentioned in the text are...Ch. 10 - The power output of the Sun is 41026 W. (a) If 90%...Ch. 10 - Another set of reactions that fuses hydrogen into...Ch. 10 - (a) Calculate the energy released by the fusion of...Ch. 10 - What is the dose in mSv for: (a) a 0.1-Gy X-ray?...Ch. 10 - Find the radiation dose in Gy for: (a) A 10-mSv...Ch. 10 - Find the mass of 239Puthat has an activity of...Ch. 10 - In the 19805, the term picowave was used to...Ch. 10 - What is the dose in Sv in a cancer treatment that...Ch. 10 - One half the rays from 99mTcare absorbed by a...Ch. 10 - How many Gy of exposure is needed to give a...Ch. 10 - A plumber at a nuclear power plant receives a...Ch. 10 - Calculate the dose in rem/y for the lungs of a...Ch. 10 - The wiki-phony site states that the atomic mass of...Ch. 10 - A particle physicist discovers a neutral particle...Ch. 10 - A nuclear physicist finds 1.0of 236Uin a piece of...Ch. 10 - A group of scientists use carbon dating to date a...Ch. 10 - According to your lab partner, a 2.00-cm-thick...Ch. 10 - In the science section of the newspaper, an...Ch. 10 - The ceramic glaze on a red-orange “Fiestaware”...Ch. 10 - Large amounts of depleted uranium (238U)are...Ch. 10 - A piece of wood from an ancient Egyptian tomb is...Ch. 10 - This problem demonstrates that the binding energy...Ch. 10 - The Galileo space probe was launched on its long...Ch. 10 - Find the energy emitted in the decay of 60Co .Ch. 10 - Engineers are frequently called on to inspect and,...Ch. 10 - If two nuclei are to fuse in a nuclear reaction,...Ch. 10 - For the reaction, sw n+3He4He+ , find the amount...Ch. 10 - Engineers are frequently called on to inspect and,...
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