College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 1, Problem 61P
A vector
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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
X
F-mg k-2kz 1
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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.
Chapter 1 Solutions
College Physics
Ch. 1.9 - The magnitudes of two vectors A and B are 12 units...Ch. 1.10 - Figure 1.19 shows two vectors lying in the...Ch. 1.10 - Which vector has an angle with respect to the...Ch. 1 - Estimate the order of magnitude of the length, in...Ch. 1 - What types of natural phenomena could serve as...Ch. 1 - Find the order of magnitude of your age in...Ch. 1 - An object with a mass of 1 kg weighs approximately...Ch. 1 - (a) Estimate the number of times your heart beats...Ch. 1 - Estimate the number of atoms in 1 cm5 of a solid....Ch. 1 - Lacking modern timepieces, early experimenters...
Ch. 1 - Prob. 8CQCh. 1 - Prob. 9CQCh. 1 - List some advantages of the metric system of units...Ch. 1 - Estimate the time duration of each of the...Ch. 1 - Suppose two quantities, A and B, have different...Ch. 1 - Answer each question yes or no. Must two...Ch. 1 - Two different measuring devices are used by...Ch. 1 - If B is added to A, under what conditions does the...Ch. 1 - Under what circumstances would a vector have...Ch. 1 - The period of a simple pendulum, defined as the...Ch. 1 - (a) Suppose the displacement of an object is...Ch. 1 - A shape that covers an area A and has a uniform...Ch. 1 - Each of the following equations was given by a...Ch. 1 - Prob. 5PCh. 1 - Kinetic energy KE (Topic 5) has dimensions kg ...Ch. 1 - A rectangular airstrip measures 32.30 in by 210 m,...Ch. 1 - Use the rules for significant figures to find the...Ch. 1 - A carpet is to be installed in a room of length...Ch. 1 - Prob. 10PCh. 1 - How many significant figures are there in (a) 78.9...Ch. 1 - The speed of light is now defined to be 2.997 924...Ch. 1 - A rectangle has a length of (2.0 0.2) m and a...Ch. 1 - The radius of a circle is measured to be (10.5 ...Ch. 1 - The edges of a shoebox are measured to be 11.4 cm,...Ch. 1 - Carry out the following arithmetic operations: (a)...Ch. 1 - The Roman cubitus is an ancient unit of measure...Ch. 1 - A house is advertised as having 1 420 square feet...Ch. 1 - A fathom is a unit of length, usually reserved for...Ch. 1 - A small turtle moves at a speed of 186 furlongs...Ch. 1 - A firkin is an old British unit of volume equal to...Ch. 1 - Find the height or length of these natural wonders...Ch. 1 - A car is traveling at a speed of 38.0 m/s on an...Ch. 1 - A certain car has a fuel efficiency of 25.0 miles...Ch. 1 - The diameter of a sphere is measured to be 5.36...Ch. 1 - Suppose your hair grows at the rate of 1/32 inch...Ch. 1 - The speed of light is about 3.00 108 m/s. Convert...Ch. 1 - A house is 50.0 ft long and 26 ft wide and has...Ch. 1 - The amount of water in reservoirs is often...Ch. 1 - The base of a pyramid covers an area of 13.0 acres...Ch. 1 - A quart container of ice cream is to be made in...Ch. 1 - Estimate the number of steps you would have to...Ch. 1 - Estimate the number of breaths taken by a human...Ch. 1 - Estimate the number of people in the world who are...Ch. 1 - The habitable part of Earths surface has been...Ch. 1 - Treat a cell in a human as a sphere of radius 1.0...Ch. 1 - An automobile tire is rated to last for 50 000...Ch. 1 - A study from the National Institutes of Health...Ch. 1 - A point is located in a polar coordinate system by...Ch. 1 - A certain corner of a room is selected as the...Ch. 1 - Express the location of the fly in Problem 40 in...Ch. 1 - Two points in a rectangular coordinate system have...Ch. 1 - Two points are given in polar coordinates by (r, )...Ch. 1 - Given points (r1, 1) and (r2, 2) in polar...Ch. 1 - For the triangle shown in Figure P1.45, what are...Ch. 1 - A ladder 9.00 m long leans against the side of a...Ch. 1 - A high fountain of water is located at the center...Ch. 1 - A right triangle has a hypotenuse of length 3.00...Ch. 1 - In Figure P1.49, find (a) the side opposite , (b)...Ch. 1 - In a certain right triangle, the two sides that...Ch. 1 - In Problem 50, what is the tangent of the angle...Ch. 1 - A woman measures the angle of elevation of a...Ch. 1 - A surveyor measures the distance across a straight...Ch. 1 - Vector A has a magnitude of 8.00 units and makes...Ch. 1 - Vector A has a magnitude of 29 units and points in...Ch. 1 - An airplane flies 2.00 102 km due west from city...Ch. 1 - Vector A is 3.00 units in length and points along...Ch. 1 - A force F1, of magnitude 6.00 units acts on an...Ch. 1 - A roller coaster moves 2.00 102 ft horizontally...Ch. 1 - Calculate (a) the x-component and (b) the...Ch. 1 - A vector A has components Ax = 5.00 m and Ay =...Ch. 1 - A person walks 25.0 north of east for 3.10 km. How...Ch. 1 - The magnitude of vector A is 35.0 units and points...Ch. 1 - A figure skater glides along a circular path of...Ch. 1 - A girl delivering newspapers covers her route by...Ch. 1 - A quarterback takes the ball from the line of...Ch. 1 - A vector has an x-component of 25.0 units and a...Ch. 1 - A map suggests that Atlanta is 730. miles in a...Ch. 1 - The eye of a hurricane passes over Grand Bahama...Ch. 1 - The helicopter view in Figure P1.70 shows two...Ch. 1 - A commuter airplane starts from an airport and...Ch. 1 - (a) Find a conversion factor to convert from miles...Ch. 1 - The displacement of an object moving under uniform...Ch. 1 - Assume it takes 7.00 minutes to fill a 30.0-gal...Ch. 1 - One gallon of paint (volume = 3.79 103 m3) covers...Ch. 1 - A sphere of radius r has surface area A = 4r2 and...Ch. 1 - Assume there are 100 million passenger can in the...Ch. 1 - Prob. 78APCh. 1 - An average person sneezes about three times per...Ch. 1 - The nearest neutron star (a collated star made...
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