Modified Mastering Physics without Pearson eText-- Instant Access -- for Physics for Scientists & Engineers with Modern Physics
5th Edition
ISBN: 9780134402659
Author: GIANCOLI, Douglas
Publisher: PEARSON
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The angle between the vectors that connect ther carbon atom to the hydrogen atoms in the methane molecule can be calculated using the dot product or the cross product rule. In the case of the dot product, we get the correct answer, which is 109.5 degree, but if we use the cross product, the answer might be 70.5 degree. Why?
(b)
Sphericals
x=r sine coso
y=r sine sino
z=r cose
Consider spherical coordinates as defined by their relationships to the Cartesian
coordinates:
x =r sin 8 cos p
X2 =r sin 0 cos
X3 =r cos 0
r2 = [xỉ + x3 + x
e = tan-(x? + x3)x3
$ = tan-(x2/x1)
or
"In the methane molecule, CH4, each hydrogen atom is at a corner of a regular tetrahedron with the carbon atom at the center. In coordinates where one of the C-H bonds is in the direction of i+j+k (i-hat + j-hat + k-hat) an adjacent C-
H bond is in the direction ofi-j-k (i-hat minus j-hat minus k-hat). What is the angle between these two bonds?"
O 100 degrees
O 109 degrees
O 200 degrees
O 209 degrees
Chapter 7 Solutions
Modified Mastering Physics without Pearson eText-- Instant Access -- for Physics for Scientists & Engineers with Modern Physics
Ch. 7.1 - A box is dragged a distance d across a floor by a...Ch. 7.1 - Return to the Chapter-Opening Question, page 163,...Ch. 7.4 - (a) Make a guess: will the work needed to...Ch. 7.4 - Can kinetic energy ever be negative?Ch. 7.4 - Prob. 1EECh. 7 - In what ways is the word work as used in everyday...Ch. 7 - A woman swimming upstream is not moving with...Ch. 7 - Can a centripetal force ever do work on an object?...Ch. 7 - Why is it tiring to push hard against a solid wall...Ch. 7 - Does the scalar product of two vectors depend on...
Ch. 7 - Can a dot product ever he negative? If yes, under...Ch. 7 - Prob. 7QCh. 7 - Does the dot product of two vectors have direction...Ch. 7 - Can the normal force on an object ever do work?...Ch. 7 - You have two springs that are identical except...Ch. 7 - Prob. 11QCh. 7 - In Example 710, it was stated that the block...Ch. 7 - Does the net work done on a particle depend on the...Ch. 7 - Prob. 2MCQCh. 7 - Prob. 3MCQCh. 7 - Prob. 5MCQCh. 7 - Prob. 7MCQCh. 7 - Prob. 8MCQCh. 7 - Prob. 9MCQCh. 7 - Prob. 10MCQCh. 7 - Prob. 12MCQCh. 7 - Prob. 13MCQCh. 7 - Prob. 14MCQCh. 7 - (I) How much work is done by the gravitational...Ch. 7 - (I) How high will a 1.85-kg rock go if thrown...Ch. 7 - (I) A 75.0-kg firefighter climbs a flight of...Ch. 7 - (I) A hammerhead with a mass of 2.0 kg is allowed...Ch. 7 - Prob. 5PCh. 7 - Prob. 6PCh. 7 - Prob. 7PCh. 7 - Prob. 8PCh. 7 - (II) Estimate the work you do to mow a lawn 10 m...Ch. 7 - Prob. 10PCh. 7 - (II) A lever such as that shown in Fig. 720 can be...Ch. 7 - Prob. 12PCh. 7 - Prob. 13PCh. 7 - Prob. 14PCh. 7 - Prob. 15PCh. 7 - Prob. 16PCh. 7 - Prob. 17PCh. 7 - Prob. 18PCh. 7 - (I) For any vector V=Vxi+Vyj+Vzk show that...Ch. 7 - Prob. 20PCh. 7 - Prob. 21PCh. 7 - Prob. 22PCh. 7 - Prob. 23PCh. 7 - (II) A constant force F=(2.0i+4.0j)N acts on an...Ch. 7 - Prob. 25PCh. 7 - Prob. 26PCh. 7 - (II) Show that if two nonparallel vectors have the...Ch. 7 - Prob. 28PCh. 7 - Prob. 29PCh. 7 - Prob. 30PCh. 7 - Prob. 31PCh. 7 - Prob. 32PCh. 7 - Prob. 33PCh. 7 - Prob. 34PCh. 7 - Prob. 35PCh. 7 - Prob. 36PCh. 7 - Prob. 37PCh. 7 - (II) If the hill in Example 72 (Fig. 74) was not...Ch. 7 - (II) The net force exerted on a particle acts in...Ch. 7 - Prob. 40PCh. 7 - (II) The force on a particle, acting along the x...Ch. 7 - Prob. 42PCh. 7 - Prob. 43PCh. 7 - (II) At the top of a pole vault, and athlete...Ch. 7 - Prob. 45PCh. 7 - Prob. 46PCh. 7 - (II) If it requires 5.0 J of work to stretch a...Ch. 7 - (II) An object, moving along the circumference of...Ch. 7 - Prob. 49PCh. 7 - Prob. 50PCh. 7 - Prob. 51PCh. 7 - Prob. 52PCh. 7 - (III) A 3.0-m-long steel chain is stretched out...Ch. 7 - (I) At room temperature, an oxygen molecule, with...Ch. 7 - (I) (a) If the kinetic energy of a particle is...Ch. 7 - Prob. 56PCh. 7 - Prob. 57PCh. 7 - Prob. 58PCh. 7 - Prob. 59PCh. 7 - (II) An 85-g arrow is fired from a bow whose...Ch. 7 - (II) If the speed of a car is increased by 50%, by...Ch. 7 - Prob. 62PCh. 7 - Prob. 63PCh. 7 - Prob. 64PCh. 7 - Prob. 65PCh. 7 - (II) (a) How much work is done by the horizontal...Ch. 7 - Prob. 67PCh. 7 - Prob. 68PCh. 7 - (II) A train is moving along a track with constant...Ch. 7 - Prob. 70PCh. 7 - Prob. 71PCh. 7 - Prob. 72PCh. 7 - Prob. 73PCh. 7 - Prob. 74GPCh. 7 - Prob. 75GPCh. 7 - Prob. 76GPCh. 7 - Prob. 77GPCh. 7 - Prob. 78GPCh. 7 - A varying force is given by F = Aekx, where x is...Ch. 7 - Prob. 80GPCh. 7 - A force F=(10.0i+9.0j+12.0k)kNacts on a small...Ch. 7 - Prob. 82GPCh. 7 - Prob. 83GPCh. 7 - Prob. 84GPCh. 7 - (III) We usually neglect the mass of a spring if...Ch. 7 - Prob. 86GPCh. 7 - Prob. 87GPCh. 7 - Prob. 88GPCh. 7 - Prob. 89GPCh. 7 - Prob. 90GPCh. 7 - Prob. 91GPCh. 7 - Assume a cyclist of weight mg can exert a force on...Ch. 7 - A car passenger buckles himself in with a seat...Ch. 7 - A simple pendulum consists of a small object of...Ch. 7 - Prob. 95GPCh. 7 - A small mass m hangs at rest from a vertical rope...Ch. 7 - Prob. 97GPCh. 7 - Prob. 98GPCh. 7 - Stretchable ropes ate used to safely arrest the...Ch. 7 - Prob. 100GP
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