Matter and Interactions
4th Edition
ISBN: 9781118875865
Author: Ruth W. Chabay, Bruce A. Sherwood
Publisher: WILEY
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Chapter 6, Problem 8Q
To determine
To prove the validity of relativistic energy equation.
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4B. Four electrons are located on the corners of a square, one on each corner, with the sides of the square being 25 cm long. a) Draw a sketch of the scenario and use your sketch to b) Determine the total force (magnitude and direction) on one of the electrons from the other three?
Portfolio Problem 3. A ball is thrown vertically upwards with a speed vo
from the floor of a room of height h. It hits the ceiling and then returns to the
floor, from which it rebounds, managing just to hit the ceiling a second time.
Assume that the coefficient of restitution between the ball and the floor, e, is
equal to that between the ball and the ceiling. Compute e.
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
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(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.
Chapter 6 Solutions
Matter and Interactions
Ch. 6.2 - An electron has mass 9 × 10−31 kg. If the...Ch. 6.2 - Prob. 2CPCh. 6.3 - A paper airplane flies from position ⟨6, 10, −3⟩ m...Ch. 6.3 - In each of the following cases state whether the...Ch. 6.3 - You push a heavy crate out of a carpeted room and...Ch. 6.4 - EXAMPLE
Figure 6.18 Throwing a ball.
Throwing a...Ch. 6.4 - In the preceding example, at the final speed,...Ch. 6.5 - Prob. 8CPCh. 6.7 - Prob. 9CPCh. 6.8 - Prob. 10CP
Ch. 6.8 - Prob. 11CPCh. 6.9 - Prob. 12CPCh. 6.10 - Prob. 13CPCh. 6.10 - Prob. 14CPCh. 6.10 - Prob. 15CPCh. 6.12 - Prob. 16CPCh. 6.12 - Prob. 17CPCh. 6.17 - Prob. 18CPCh. 6 - Prob. 1QCh. 6 - Give brief explanations for your answers to each...Ch. 6 - You pull a block of mass m across a frictionless...Ch. 6 - One often hears the statement, “Nuclear energy...Ch. 6 - Figure 6.76 shows the path of a comet orbiting a...Ch. 6 - Figure 6.77 is a graph of the energy of a system...Ch. 6 - A particle moves inside a circular glass tube...Ch. 6 - Show the validity of the relation when m ≠ 0, by...Ch. 6 - It is not very difficult to accelerate an electron...Ch. 6 - A pitcher can throw a baseball at about 100 mi/h...Ch. 6 - What is the speed of an electron whose total...Ch. 6 - The point of this question is to compare rest...Ch. 6 - The point of this question is to compare rest...Ch. 6 - A runner whose mass is 60 kg runs in the +x...Ch. 6 - A baseball of mass 144 g has a velocity of ⟨22,...Ch. 6 - One mole of helium atoms has a mass of 4 grams. If...Ch. 6 - You throw a ball of mass 160 g upward (Figure...Ch. 6 - A fan cart of mass 0.8 kg initially has a velocity...Ch. 6 - You push a crate 3 m across the floor with a 40 N...Ch. 6 - You pull your little sister across a flat snowy...Ch. 6 - A 2-kg ball rolls off a 30-m-high cliff, and lands...Ch. 6 - A boat is coasting toward a dock you’re standing...Ch. 6 - A jar of honey with a mass of 0.5 kg is nudged off...Ch. 6 - A constant force ⟨23, −12, 32⟩ N acts through a...Ch. 6 - One end of a spring whose spring constant is 20...Ch. 6 - An electron traveling through a curving wire in an...Ch. 6 - You bring a boat toward the dock by pulling on a...Ch. 6 - You push a box out of a carpeted room and along a...Ch. 6 - A ball of mass 0.7 kg falls downward, as shown in...Ch. 6 - A lithium nucleus has mass 5.1 × 10−27 kg. If its...Ch. 6 - A space probe in outer space has a mass of 111 kg,...Ch. 6 - An object with mass 100 kg moved in outer space....Ch. 6 - Outside the space shuttle, you and a friend pull...Ch. 6 - A crate with a mass of 100 kg glides through a...Ch. 6 - An object with mass 120 kg moved in outer space...Ch. 6 - An object with mass 120 kg moved in outer space....Ch. 6 - Jack and Jill are maneuvering a 3000 kg boat near...Ch. 6 - An electron traveling at a speed 0.99c encounters...Ch. 6 - A mass of 0.12 kg hangs from a vertical spring in...Ch. 6 - Prob. 43PCh. 6 - A proton (1.6726 × 10−27 kg) and a neutron (1.6749...Ch. 6 - Many heavy nuclei undergo spontaneous “alpha...Ch. 6 - You throw a ball straight up, and it reaches a...Ch. 6 - A 1 kg block rests on the Earth’s surface. How...Ch. 6 - An object with mass 7 kg moves from a location...Ch. 6 - Prob. 52PCh. 6 - Use energy conservation to find the approximate...Ch. 6 - Under certain conditions the interaction between a...Ch. 6 - (a) A 0.5 kg teddy bear is nudged off a window...Ch. 6 - You throw a ball of mass 1.2 kg straight up. You...Ch. 6 - Suppose that a pitcher can throw a ball straight...Ch. 6 - Prob. 58PCh. 6 - Prob. 59PCh. 6 - The escape speed from an asteroid whose radius is...Ch. 6 - The escape speed from a very small asteroid is...Ch. 6 - Prob. 62PCh. 6 - A spacecraft is coasting toward Mars. The mass of...Ch. 6 - Prob. 64PCh. 6 - Prob. 65PCh. 6 - You stand on a spherical asteroid of uniform...Ch. 6 - Prob. 67PCh. 6 - Prob. 68PCh. 6 - A pendulum (see Figure 6.84) consists of a very...Ch. 6 - Prob. 70PCh. 6 - Prob. 71PCh. 6 - Four protons, each with mass M and charge +e, are...Ch. 6 - Prob. 74P
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